tag:blogger.com,1999:blog-11952862163997932102024-02-14T12:54:50.167-08:00penmachinedadUnknownnoreply@blogger.comBlogger370125tag:blogger.com,1999:blog-1195286216399793210.post-10086310210048946192024-01-07T11:24:00.000-08:002024-01-08T07:23:22.695-08:00Lining up my telescope<p style="text-align: justify;"> </p><p style="text-align: justify;"><span style="font-size: medium;">This story refers to my 3" refractor telescope (you've seen it in previous blogs). I use it as my public astronomy telescope. It came into my hands (I bought it) in 1964, used, being available as a security by someone who had not repaid a loan. It came with a wooden, very stable tripod, which had nothing electric or automatic and it meant that any use of the telescope was done by hand. For public astronomy, that telescope and tripod are portable devices. I have no idea about how old the telescope is, but it has excellent optical performance. I have since bought a used EQ-3-like metal tripod which can be used with electrical and electronic components.</span></p><p style="text-align: justify;"><span style="font-size: medium;">Whenever you are going to use a portable telescope to track stars and other objects in the sky, there is a first requirement if you want to track observing targets in the sky without having to do it yourself. For the purpose, the telescope's rotational axis needs to be exactly parallel to the Earth's rotational axis. </span><span style="font-size: medium;">This applies to equatorial telescope mounts used to adjust the pointing of the telescope's rotational axis to the north, or south point in the sky if you are somewhere in the Earth's southern hemisphere.</span></p><p style="text-align: justify;"><span style="font-size: medium;">The North Pole in the Earth's northern hemisphere is found in the sky above the horizon depending on the geographical latitude of your location. At the Earth's equator, the latitude is 0. Therefore the North Pole is 0 degrees above the horizon. Here, at the Trottier Observatory, we are close to 49.2 degrees latitude. So the North Pole is 49.2 degrees above level. At the North Pole, the latitude is 90 degrees, right above the top of your head, if you are standing there. the rotation axis would have to be set to 90 degrees. The stars move almost parallel to the horizon as would the Sun and Moon. The seasons determine position above or below the horizon. This is an effect of the position of the Earth in its orbit around the Sun. </span></p><p style="text-align: justify;"><span style="font-size: medium;">For visual observing using our pole star (name: Polaris) as the north pole in the sky is adequate, it is very close to the correct point</span><span style="font-size: medium;">.</span><span style="font-size: large;"> </span></p><p style="text-align: justify;"><span style="font-size: medium;">That also means that the angle of the rotational axis with respect to level at the Earth North Pole is equal to the latitude at which the telescope is being used. When</span><span style="font-size: large;"> </span><span style="font-size: medium;">correctly positioned, there will be little need to manually correct deviation from tracking. The rotational axis is driven by a small electric motor at the speed the Earth turns. The Earth turns 15 degrees eastward in one hour. In order to stay pointed at a star, or other astronomical object in the sky, the rotational axis moves fast enough to achieve to achieve the same speed westward. Remember the Sun, the Moon, the stars rise in the East and set in the West. This is the result of the Earth's rotation eastward.</span></p><p style="text-align: justify;"></p><div class="separator" style="clear: both; text-align: center;"><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/a/AVvXsEj-WRNfWE8NgMQ_5Ic46-1KqZkm3-6wVEcLKBq1F0xuh1-wc-OYWnTqFPDVuEP5P2zeXl0bXzaxnXcW6a1sA1jbxVC5RYP0w92lPKVdIf9T0MKQMbqQLSk4J7KgnVKRf2ZcAt4evmjsmoqJjsV3JtFBQIJp-6c8mScjhA1XeDDYML0AhK-O5sTNY8msZL7o" style="margin-left: 1em; margin-right: 1em;"><img alt="" data-original-height="1334" data-original-width="750" height="653" src="https://blogger.googleusercontent.com/img/a/AVvXsEj-WRNfWE8NgMQ_5Ic46-1KqZkm3-6wVEcLKBq1F0xuh1-wc-OYWnTqFPDVuEP5P2zeXl0bXzaxnXcW6a1sA1jbxVC5RYP0w92lPKVdIf9T0MKQMbqQLSk4J7KgnVKRf2ZcAt4evmjsmoqJjsV3JtFBQIJp-6c8mScjhA1XeDDYML0AhK-O5sTNY8msZL7o=w461-h653" width="461" /></a></div><br /><br /></div><div class="separator" style="clear: both; text-align: justify;"><span style="font-size: medium;">The housing at right angle at the top of the rotational axis housing contains the axis which allows the telescope to move "up and down". The axis inside itself is set at a permanent 90 degrees angle to the rotational axis, but free to turn on itself. The lock is activated by the black lock handle to the upper right of the label "</span><span>declination axis". </span><span style="font-size: medium;">This axis is the "declination axis" and the telescope is firmly attached to this declination axis, which is fixed to the rotation axis. In this picture my 3" telescope is clamped to the locked </span><span style="font-size: medium;">declination axis, and the rotational axis is turning westward. The</span><span style="font-size: large;"> </span><span style="font-size: medium;"><span>telescope</span><span> has been set onto </span></span><span style="font-size: medium;"><span>an object up or down, the</span></span><span style="font-size: large;"> </span><span style="font-size: medium;">declination axis is clamped, and cannot move up or down again until unlocked. So, to repeat, the rotational axis turns westward at 15 degrees per hour, the telescope is fixed to the clamped declination axis, pointed at the chosen object, the telescope moves westward driven by the motion of the rotation axis which is driven by the motor. That means that the telescope moves along the same arc and speed of the clear sky and the object to which the telescope is pointed.</span></div><div class="separator" style="clear: both; text-align: justify;"><span style="font-size: medium;"><br /></span></div><div class="separator" style="clear: both; text-align: justify;"><span style="font-size: medium;">So far, I have written about the telescope. What point in the sky do you point the tracking mechanism to in order to achieve correct tracking? The point is that one in the sky which is exactly above the Earth's rotational axis, our precise North Pole on Earth. If you stood on the Earth's North Pole, the North Pole in the sky would be exactly above your head, the highest point in the sky. The rotational axis in the tripod is usually a hollow tube which may contain a small finder telescope. There are mechanical adjustment controls to move the whole mounting mechanism sideways and up and down. If you adjust the rotational axis to point exactly to the North Point, using the finder scope in the rotational axis, your tracking will be accurate. </span></div><div class="separator" style="clear: both; text-align: justify;"><span style="font-size: medium;"><br /></span></div><div class="separator" style="clear: both; text-align: justify;"><span style="font-size: medium;">Nowadays, technology has evolved so that an equatorial mount is not needed. Computer programming allows an alt-azimuth mounted telescope to be controlled to follow the arc of a star or other object in the sky, as well as compensate for the field rotation which results from rising in the East and setting in the West. Objects launched into space from Earth are unlikely to be followed in this fashion. </span></div><div class="separator" style="clear: both; text-align: justify;"><br /></div><div class="separator" style="clear: both; text-align: justify;"><span style="font-size: medium;">I have to repeat the setup routines for my 3" every time we do a public astronomical evening for SFU, or other schools and locations. Obviously, I can't leave the observing equipment and the telescope behind after the end of the evening. Fun every time...</span></div><p></p>Unknownnoreply@blogger.com0tag:blogger.com,1999:blog-1195286216399793210.post-25291374671551073632023-09-15T06:18:00.013-07:002023-09-29T16:00:18.436-07:00Go to Venus<p></p><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgmXFiDRyQhDJH0o7rRL0fOiccU_-8wO9TfEYbUeKo2_P4wetkC8h_JE6g6OLiPr8xhqPsvloNHg7HLLlW9V2-h8uMqiLxxaxhW5iyWgJ7qpHcvRHQD87YOYz-dNJzyZgZDWngktEVnv2wPtestI2DG5ixtYu8cX4WDEjUtaaN-bcsGvmMV54AWMlUaXfrd/s1057/5D182EE6-6A73-4F8C-BC36-2D1D2835A41E.jpeg" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="1057" data-original-width="750" height="320" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgmXFiDRyQhDJH0o7rRL0fOiccU_-8wO9TfEYbUeKo2_P4wetkC8h_JE6g6OLiPr8xhqPsvloNHg7HLLlW9V2-h8uMqiLxxaxhW5iyWgJ7qpHcvRHQD87YOYz-dNJzyZgZDWngktEVnv2wPtestI2DG5ixtYu8cX4WDEjUtaaN-bcsGvmMV54AWMlUaXfrd/s320/5D182EE6-6A73-4F8C-BC36-2D1D2835A41E.jpeg" width="227" /></a></div><div class="separator" style="clear: both; text-align: center;"><br /></div><div class="separator" style="clear: both; text-align: center;">Venus (NASA year 2008)</div><br /> The climate change which has been predicted for decades has become part of our new reality. Moreover, the effects and resulting damages and difficulties engendered by that change are also evident. Being interested in Astronomy, and living in British Columbia, some of the environmental changes caused by the climate change are at least annoying, if not definitely unhealthy. Some much more serious aspects of the climate change are hundreds of forest fires in our province alone (other areas have the same problems). People are forced to leave their houses, find them burned down, thereby incurring immense losses. More serious, some people, while fighting the fires are injured, and, sadly, some have died. <p></p><p>Climate changes have occurred a number of times in the past, but, it appears, not at the current rate. Humans, at whatever evolutionary stage, seem to have developed methods, physiological, biological, and thinking up solutions which allowed adaptations to changes of climate. Many humans may have lost their lives in these processes. </p><p>Evolution, in my thinking, is a random process. Most genetic and DNA alterations are unsuccessful. The successful versions continue and become more numerous and dominant. I therefore believe that some of our current human individuals have a genetic internal makeup which will allow their adaption and increase their biological dominance under the new climatic conditions. </p><p>As humans, we also have developed a very complex system of dealing with climate change: it is called space travel. Humans have walked on the Moon and have returned to Earth. Current efforts aim at permanent settlement on the Moon, and even Mars. That means getting away from current dangers on Earth and facing new, more likely much more powerful dangers in space. </p><p>Humanity is very adaptive. These current efforts will likely result in success sometime in the future. We'll possibly spread to wider space presence within suitable environments created by us. There is going to be no "hell". So, if someone annoys you in that future, recommend that person go to Venus.</p>Unknownnoreply@blogger.com0tag:blogger.com,1999:blog-1195286216399793210.post-77907059849338151532023-06-17T10:41:00.097-07:002023-07-08T16:17:29.960-07:00Navel-gazing<p><br /></p><p><span style="font-family: inherit; font-size: large;">Astronomers, ancient, recent, and current have looked and are looking for "life, as we know it", elsewhere in the universe. A lot of resources are applied to this purpose (see image). Whenever I hear or read this statement something in my mind asks: what about life as we do NOT know it (yet)? </span></p><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgOIkvSyfNYL6na-ZF84tOXiyvQiLB97JWxE9bHsQPssnbXRKMLYuvYs-eLivLC0HeCpC31Ih9iFVNjXdhAHvX_jE2jtG7UOfAojphKjJf3rY9q5wUn79fkUn78jeff5_MPa_WV-cEaHPs8WXg6Fz-bk9POcsZHOa3bdpYHyEkmm25DDFIyxHdGYfm--w/s1280/James_Webb_Space_Telescope.jpg" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="960" data-original-width="1280" height="240" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgOIkvSyfNYL6na-ZF84tOXiyvQiLB97JWxE9bHsQPssnbXRKMLYuvYs-eLivLC0HeCpC31Ih9iFVNjXdhAHvX_jE2jtG7UOfAojphKjJf3rY9q5wUn79fkUn78jeff5_MPa_WV-cEaHPs8WXg6Fz-bk9POcsZHOa3bdpYHyEkmm25DDFIyxHdGYfm--w/s320/James_Webb_Space_Telescope.jpg" width="320" /></a></div><div><br /></div><div style="text-align: center;">NASA</div><p style="font-family: "Helvetica Neue"; font-stretch: normal; line-height: normal; margin: 0px; min-height: 14px; text-align: center;"><span style="font-size: medium;">The James Webb Telescope </span><span style="font-size: 12px;">(Sun.Org)</span></p><p style="font-family: "Helvetica Neue"; font-stretch: normal; line-height: normal; margin: 0px; min-height: 14px; text-align: center;"><span style="font-size: 12px;">(Costs of building and launch have been quoted as 10 billion dollars. It is used for other explorations as well.)</span></p><p><span style="font-family: inherit; font-size: large;"></span></p><div><p style="font-family: "Helvetica Neue"; font-size: 12px; font-stretch: normal; line-height: normal; margin: 8px 0px;"><br /></p></div><p><span style="font-family: inherit; font-size: large;">What follows is my thinking (I am no expert) about the subject. </span><span style="font-size: large;">The starting event was what we call the Big Bang. </span><span style="font-family: inherit; font-size: large;">Scientists have established that all the atomic particles, atoms themselves, molecules, down to the smallest sub particles came into existence in a sequence of events depending on pressure, temperature, time and available space and other temporary conditions. Whatever combination of particle combinations occurred in that time frame, the final results are entities we call stars, planets, galaxies, and whatever else we find in space (including us), all made from some part of the same </span><span style="font-size: large;">source</span><span style="font-family: inherit; font-size: large;"> of atomic materials. </span></p><p><span style="font-family: inherit; font-size: large;">There are occasions which I think of as a small repetition of the Big Bang. They happen inside very large and giant stars. These stars are at the end of their present existence; they no longer produce the counter pressure that made it possible to counteract the gravitational forces which try to concentrate the star's material at the centre of the star. Without that counter pressure, the star can </span><span style="font-family: inherit; font-size: large;">collapse at an immense speed and with extremely large activating of huge amounts of light and much other electromagnetic activity. These energetic conditions create and may also recombine and blow the material of which the star is made into space (some part of the same materials which followed the Big Bang because that's the material which made up the star in the first place). We can observe such events. We call them supernovae. </span></p><p><span style="font-family: inherit; font-size: large;">Our current level of technology allows us to watch the formation of new stars from the material blown into space by the collapse of dying stars. This means that the forming of new stars, planets, moons, meteors, rocks, air, and every other physical piece which we observe associated with that event uses the material from supernovae. It can be called the stuff of stars. We know of no other available material to form a new thing. Therefore, everything, including us, could only be made of some part of Starstuff. </span></p><p><span style="font-family: inherit; font-size: large;">So, finding life as we know it could be possible. It would have to be made from the same basic materials of which we are made, starstuff, and the same organizational principles. It would also actually replicate itself or help some other species do so, as we know it. </span></p><p><span style="font-family: inherit; font-size: large;">Is replication the proof of life? Currently, we are quite intensely concerned with the speedy growth of Artificial Intelligence (AI). We have built computers which do replicate themselves, based on sophisticated software written by humans. Some of these computers (robots?), in my thoughts, could be working to improve and, independently, come up with a way to replicate themselves without having to rely on any human effort or connection. If we were to encounter such entities somewhere in space, would we recognize such as life, and, specifically, life as we know it ? It can only be built from Starstuff (which is the same as what was originated by the Big Bang). </span><span style="font-size: large;">Could this affect our species' existence? </span><span style="font-size: large;">If AI outcompetes us over time, and our species slowly disappears will AI consider us to be the gods that created them ? </span><span style="font-family: inherit; font-size: large;">Astronomy connects with many of our different sciences, examples are Astrochemistry, Astrobiology, Astrophysics, Electronics, and other scientific activities. How will these sciences affect us if they are controlled by AI ? </span></p><p><span style="font-size: large;">In my younger years I voraciously read science fiction written by Arthur C. Clarke, Robert A. Heinlein, and Professor Isaac Asimov (all polymaths in my opinion) had interests in writing science fiction. These writings often included the interaction of humans and human-like robots. These robots had levels intelligence about equal to that of our current Artificial Intelligence. Professor Asimov required these robots to operate only under his Three Laws of </span><span style="font-size: large;"><span>R</span><span>obotics:</span></span></p><p></p><p></p><p style="text-align: center;">(from Wikipedia)</p><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgvNXX3v_eBuLWDac90WyBZgexkB_XZakUggXzZGZHY2iUIZAMyHp_TVq3QUQ3KIUW5txj4wXlgnb4pA9uDbeiTRvw7mL6IlB9Fas57I6k-IbkSh31d9V3kMnK4MMoIvUK2VEHcVzs83VaY4uEpbSUl2TMv95M3k3mAFH0KhqVmWd3VZe3FX3jaWwsej9nd/s384/Untitled.jpg" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="384" data-original-width="216" height="418" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgvNXX3v_eBuLWDac90WyBZgexkB_XZakUggXzZGZHY2iUIZAMyHp_TVq3QUQ3KIUW5txj4wXlgnb4pA9uDbeiTRvw7mL6IlB9Fas57I6k-IbkSh31d9V3kMnK4MMoIvUK2VEHcVzs83VaY4uEpbSUl2TMv95M3k3mAFH0KhqVmWd3VZe3FX3jaWwsej9nd/w347-h418/Untitled.jpg" width="347" /></a></div><p></p><p><span style="font-family: inherit; font-size: large;">Perhaps our current AI should incorporate these same laws without any possibility to remove or inactivate them by either Humans or robots.</span></p><p><span style="font-family: inherit; font-size: large;">I think about these things because, before I retired about 10 years ago, making my living included having an electronics background. The recent improvements in that field, with closer relations to the computing world, make me consider these things. </span></p><p><span style="font-family: inherit; font-size: large;">One thing we will likely have in common with whatever entity evolves in the future: we are, and will be, made of some part of Starstuff. Since everything in the Universe looks like Starstuff (again: including us, we are a piece of Universe), when we examine and explore the Universe we can say that the Universe is examining itself. </span></p><p><span style="font-size: x-large;">..... </span><span style="font-size: large;">Navel-gazing</span></p><p><span style="font-size: large;"><span style="font-family: inherit;">Some questions remain in my mind: What is Dark Matter ? What makes the Universe expand ? </span><span style="font-family: inherit;">Maybe AI knows?</span></span></p><p><span style="font-family: inherit; font-size: large;">. </span></p><p><br /></p><p style="-webkit-text-size-adjust: auto; -webkit-text-stroke-width: 0px; caret-color: rgb(0, 0, 0); color: black; font-family: -webkit-standard; font-style: normal; font-variant-caps: normal; font-weight: 400; letter-spacing: normal; orphans: auto; text-align: left; text-decoration: none; text-indent: 0px; text-transform: none; white-space: normal; widows: auto; word-spacing: 0px;"><span style="font-family: inherit; font-size: large;"></span></p><p><span style="font-family: inherit; font-size: large;"><br /></span></p><p style="-webkit-text-size-adjust: auto; -webkit-text-stroke-width: 0px; caret-color: rgb(0, 0, 0); color: black; font-family: -webkit-standard; font-style: normal; font-variant-caps: normal; font-weight: 400; letter-spacing: normal; orphans: auto; text-align: left; text-decoration: none; text-indent: 0px; text-transform: none; white-space: normal; widows: auto; word-spacing: 0px;"><span style="font-family: inherit; font-size: large;"></span></p><p><span style="font-family: inherit; font-size: large;"></span></p><p><span style="font-family: inherit; font-size: large;"><br /></span></p><p><br /></p>Unknownnoreply@blogger.com1tag:blogger.com,1999:blog-1195286216399793210.post-28396696443143529082023-04-08T16:08:00.015-07:002023-04-21T08:56:50.120-07:00Again, the 3" telescope...<p>After a recent serious family event, I finally have found some time to put a number of things into some order. Among those, I ran across a picture (on photo paper) which I had developed, from a film I had also developed, both in what was then my darkroom. In those days (in the sixties) it was possible to have a chemical darkroom in your house. Digital processing technology did not exist then. Nowadays, chemical processing is tightly controlled, and what limited photography I pursue now is all of digital nature.</p><p>The image of the Moon below was taken fairly soon after I bought the used 3" refractor in 1964. I have mentioned this telescope before, shown here on the left. The Moon photo is an afocal image, taken through an eyepiece attached to that telescope. </p><div class="separator" style="clear: both; text-align: center;"><div class="separator" style="clear: both; text-align: center;"><div class="separator" style="clear: both; margin-left: 1em; margin-right: 1em; text-align: center;"><div class="separator" style="clear: both; text-align: left;"></div></div><div class="separator" style="clear: both; margin-left: 1em; margin-right: 1em; text-align: center;"><div style="text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhZfzYDth8m7A5k4jwUdNhN5yhrUDv8sBM-MHFOirQMXbZxcCLLLbiNOSAi7dnOcT4Hq928CX5coh756wtpJ50Jr0l9DdcuhAOP7pMCAwD9iXdkNgcjHOvQVjcaWyyJV8tIWyvFLDn49wukvU0EKn5aGW_dAMvir4zxCC6IwUWhelKx0PaYO6JPysV4VA/s1029/MoonAppenines.jpeg" style="margin-left: 1em; margin-right: 1em; text-align: center;"><span style="margin-left: 1em; margin-right: 1em;"></span></a><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgQ9cRJgbJIZC56HxCaBlX03-8s8hIwv3g3RrYmJl8iuvb5wlwDX96p74kX-2TYVdVcLXHhjlAnkA8iSfXbHsp4SmM-6Ykd49Rq6xyalm-Hru7anEc7b-O6BhFI7aNq7sWWgcZRxaoZrZVipMolapOY-YlnwvDeOUzUl3L4mZNNfofb9sVINyLNXjDKgg/s4032/Polaris%20telescope.JPG" style="margin-left: 1em; margin-right: 1em;"><img alt="" data-original-height="2048" data-original-width="1536" height="320" src="https://blogger.googleusercontent.com/img/a/AVvXsEhqgGKC3tL4We_j-XFinzNQhiv25h-MCb3xHexXZuQr4WOJ0j7t0wjVHaPjenNzc9WLHPKiKKkHmDLoqAe2DvUaIhL4g-BFDiDXEVkr0ZMAiSP7XpdusV818AqH6IocG-rPE0Lcevvlsi2lGkQAbsG3Jr_JUy-LqYO4Pp2sIhIDe-fbH-R3S8F3IB4b8A=w267-h320" width="267" /></a><img border="0" data-original-height="1029" data-original-width="800" height="320" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhZfzYDth8m7A5k4jwUdNhN5yhrUDv8sBM-MHFOirQMXbZxcCLLLbiNOSAi7dnOcT4Hq928CX5coh756wtpJ50Jr0l9DdcuhAOP7pMCAwD9iXdkNgcjHOvQVjcaWyyJV8tIWyvFLDn49wukvU0EKn5aGW_dAMvir4zxCC6IwUWhelKx0PaYO6JPysV4VA/s320/MoonAppenines.jpeg" width="249" /><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgQ9cRJgbJIZC56HxCaBlX03-8s8hIwv3g3RrYmJl8iuvb5wlwDX96p74kX-2TYVdVcLXHhjlAnkA8iSfXbHsp4SmM-6Ykd49Rq6xyalm-Hru7anEc7b-O6BhFI7aNq7sWWgcZRxaoZrZVipMolapOY-YlnwvDeOUzUl3L4mZNNfofb9sVINyLNXjDKgg/s4032/Polaris%20telescope.JPG" style="margin-left: 1em; margin-right: 1em;"><br /></a></div></div></div><div class="separator" style="clear: both; text-align: center;"><br /></div></div><div class="separator" style="clear: both; text-align: center;">3" telescope. The Apennines, </div><div class="separator" style="clear: both; text-align: center;"> Caucasus and Alps on the Moon</div><div class="separator" style="clear: both; text-align: center;"> (from the bottom up)</div><div class="separator" style="clear: both; text-align: center;"><br /></div>The afocal method can be used on any telescope with an eyepiece inserted for visual observation. The trick is to align and mount the camera to be used in such a way that the "optical centres" for all the lenses, both in telescope and camera involved, align precisely. For instance, anyone who has tried to use a smartphone to take a picture by holding it behind the eyepiece of a telescope pointed at the Moon, will have found out that a good, undistorted image is mostly a matter of luck. I've heard that there are smart-phone-to-telescope adaptors available. Personally I haven't seen one, but they should be available at reputable telescope dealers. <div><br /></div><div>Another requirement is an accurate alignment of the telescope mount with the North Pole in the sky. Exposure time may vary, depending on what is being photographed. If the mount is misaligned, and the magnifying power used is high (i.e. a short-focus eyepiece) tracking errors could result in a "smeared" image.<div><br /></div><div>As an aside, there is evidence of the Moon's curvature visible in the photo. You may notice that the crater Eratosthenes at the very bottom is perfectly round. That implies that we are looking straight down on it. The shape of the other craters placed successively higher, i.e. the large one in the centre (Archimedes) looks more oval. Plato, the large crater at the top, even more so, We are looking from increasing angles at them. </div><div><br /></div><div>That shows the Moon's surface is dropping more and more away from our point of view. For anyone of average height standing on a level surface of the Moon it means that the horizon is about 2.4 km away. This is also shown by the increasingly darker surface curving westward (to the left) on the Moon. The Sun rises in the East on the Moon, just as on Earth, therefore the East is the brightest area on the right.</div><div><br /></div><div>I think that it is obvious that I like my 3". Occasionally, you may see it on these pages again.</div><div><p><br /></p><p> </p></div></div>Unknownnoreply@blogger.com0tag:blogger.com,1999:blog-1195286216399793210.post-84007347735266709582023-01-08T06:35:00.189-08:002023-01-08T12:57:29.548-08:00Little problems<p> </p><p><br /></p><p>Living in an area subject to a lot of cloudy weather, I use my telescopes sporadically. The Christmas and New Years' periods additionally result in family and friends getting together. That means that some clear sky conditions are also bypassed. Because of several days being available, I had time in which I could, and did, check the operation and possible problems on my EQ type telescope mounts and my telescopes. </p><p>From my previous blogposts you'll know that I much enjoy the public astronomy nights which SFU runs on clear Friday nights. I've been using my 3" refractor most often for our RASC participation. The telescope is not heavy and can be put onto the telescope mount quickly. As well, it is easy to align with the celestial North Pole. The reason, of course, is the automatic tracking of any object being observed by moving the telescope westward at the same rate as the Earth's rotation eastward.</p><p>The EQ4 tracking mount I use for the 3" refractor has somewhat of an issue though. No matter how closely I align the telescope with North, the object in the telescope's field of view slowly drifts out of view. It's easy enough to correct this by using the control buttons on the Dual Axis Motor Drive which powers both the Right Ascension and Declination motors. However, it requires my periodic attention to make sure that our public guests will actually see the target to which I pointed the telescope.</p><p>There are many cloudy days and nights at this time of year. I set up the telescope and mount in our recroom at home to move through a 24 hour tracking run. The idea was to set the time and direction scales on the mount to a start point (I pointed the E marker on the telescope RA axis to the 0 hour mark on the time scale) and to read the scales at the end of the run, 24 hours (actually 23 hours, 56 minutes, and 4 seconds) later. At that point I would have expected to see the E marker to point again at the 0 hours mark. Lo and behold, it pointed instead to 2h and 50 min beyond the 0 mark. This means that the telescope actually indicated that it moved past the 0 hour time marker; it incorrectly showed that it had moved a total of 26 hours and 50 minutes. The tracking motion of the mount is therefore 11% faster than the daily sky motion. Since the Earth turns 15 degrees per hour this result moves the telescope to a position almost 45 degrees ahead of the position it should have after 24 hours tracking, Instead of moving through 360 degrees, it moved almost 405. I had noticed smaller overruns on other days, even on much shorter test runs. This is what actually made me run the 24 hour test.</p><p>My motor drive unit has 4 control buttons to speed up the RA and DEC stepper motors 2, 4, or 8 times by means of a separate speed switch. Each button is dedicated to one particular direction. The RA motor is controlled by an East button and a West button, the DEC motor by a North and a South button. The East button can be used to compensate for the 11% excess tracking speed, but it requires me to push and hold the button to move the telescope back to the observed target. It is a very basic and very slow slewing system - it would take many minutes to move from Vega to Deneb for example. As it exists, this whole system is not suitable for long-exposure astrophotography, in my opinion. It's ok for visual observation and possibly photography of the Sun or the Moon.</p><p><br /></p><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEh65GzkCpQRxhJlv5Dpqp0jxSNT2uFxsCo3JnnDcXU5NyKLpnQ6X4ZI4_HkmiviNDz_W-caAn4vv20IWycpMw6Tl9zM1Lm9s7CqoTE-2D7HHUnL77kL4gCwG41VaSKu7D8n_5DD4wXWVmXru-va7ptVjmaUx20f1qA_wfwrGhZtQH7gE692qPyDewTWqQ/s800/IMG_4662.jpeg" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="800" data-original-width="600" height="320" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEh65GzkCpQRxhJlv5Dpqp0jxSNT2uFxsCo3JnnDcXU5NyKLpnQ6X4ZI4_HkmiviNDz_W-caAn4vv20IWycpMw6Tl9zM1Lm9s7CqoTE-2D7HHUnL77kL4gCwG41VaSKu7D8n_5DD4wXWVmXru-va7ptVjmaUx20f1qA_wfwrGhZtQH7gE692qPyDewTWqQ/s320/IMG_4662.jpeg" width="240" /></a></div><div class="separator" style="clear: both; text-align: center;"><br /></div><div class="separator" style="clear: both; text-align: center;">The dual axis motor drive</div><div class="separator" style="clear: both; text-align: center;"><br /></div><h1 style="text-align: justify;"><br /></h1><h1><span style="font-family: inherit; font-size: small; font-weight: normal;"><div class="separator" style="clear: both; text-align: center;"></div><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhO8LV46b4OJHsgCYGG4FDph5_5wcwIfy_jCCRJKGIQTqIErHRaDZxsC5L8yMFVEo3AecZWsuDQlPaiD34admMG_K7rn7IS2o6Es7KGjqyA0asOOb0ZT2CBWBDuHZTN1WSEPWNiiNWtO5K2McQexirL7L0j5P_JzRueyDklatJKnmZH6IRMjMmGFCls7w/s800/IMG_4663.jpeg" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="600" data-original-width="800" height="240" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhO8LV46b4OJHsgCYGG4FDph5_5wcwIfy_jCCRJKGIQTqIErHRaDZxsC5L8yMFVEo3AecZWsuDQlPaiD34admMG_K7rn7IS2o6Es7KGjqyA0asOOb0ZT2CBWBDuHZTN1WSEPWNiiNWtO5K2McQexirL7L0j5P_JzRueyDklatJKnmZH6IRMjMmGFCls7w/s320/IMG_4663.jpeg" width="320" /></a></div><div class="separator" style="clear: both; text-align: center;"><br /></div><div class="separator" style="clear: both; text-align: center;">proposed astable timer (below)</div></span></h1><p style="text-align: left;"><span><span style="font-family: "Helvetica Neue"; font-size: 13px; text-align: justify;">Now the question: what causes this? I was thinking about the gear ratios in the RA motor, or in the mount, the clock frequency in the electronics of the Dual Axis motor drive unit, the pulse rate applied to the RA motor stepper windings, searched for an adjustment capability in the electronics board (found none), and other electronic possibilities. I also searched the internet for electronic schematics (there are dozens) but did not find the one which exactly matched the Dual Axis motor drive above.</span> </span></p><p style="text-align: left;"><span>I'm thinking of putting together an astable timer based on the 555 precision timer chip. Its output voltage could control the power provided to the motor drive, i.e. shut off power 11% of the time. That way, the movement of the sky could catch up with my faster-moving telescope. It's a crude approach, but in my working days I built many similar timers to control printers, vending machines, debit card readers, and other equipment. I found the timer shown above in one of my "junk"drawers which contain all manner of parts, most of which are decades old. The shown timer is an unused piece I started about </span>thirty years ago, and never finished. I'll check it out and may modify it to counteract the tracking error. </p><p>Stay tuned. .</p>Unknownnoreply@blogger.com0tag:blogger.com,1999:blog-1195286216399793210.post-50735325848399187322022-10-30T15:56:00.053-07:002022-11-05T11:22:54.648-07:00Watch your sky<div class="separator"></div><p>For all I know, the dinosaurs did apparently not have much interest in looking at the sky. Also, they did not seem to have any capability that would have led them to plan ahead in detail. The major part of their activities likely were to hunt down other species for food. It was a successful life philosophy; dinosaurs were wide-spread on Earth for more than 200 million years. Among their hunted, there were some which fed milk to their offspring, the mammals. Because they were quite small, mammals would have been an easy target for the dinosaurs. Probably because they were under almost constant threats, mammal species evolved into various types, and because they were much threatened, many likely built their living quarters in protective places. They would have to have been acutely aware of their surroundings, both on the ground, and above and below. Anticipation of danger would have been an important characteristic. Altogether, mammals would have become very flexible, in order to stay alive.</p><p>These two different "philosophies of life" eventually cost the dinosaurs their existence, except for one or two who became the ancestors of our current species of birds. The mammals' approach to living insured the survival of at least some primate-like mammalian species. The main cause for this turn of events was very likely the impact of an extremely large meteorite, which 66 million years ago or so caused world-wide destruction of plants and animals on land, in oceans and lakes, and also caused extreme changes in the atmosphere. The Chicxulub crater located on the Golf of Mexico's Yucatán peninsula is believed to be the remnant of this catastrophic event.</p><p>Some primate species turned into the human line about 3 million or so years ago and today, we are spread around the world. Our "smarts" have increased to an amazing level (although I wonder sometimes, considering the current political conditions, and the disregard for past warnings of a major climate change ahead). The most impressive aspect for me is our capability to travel in space. </p><p>As a prime requisite this requires technologies to obtain a very accurate knowledge of the effects of gravity, astronomical distances, and ongoing precise measurements and observations, the mathematics to precisely calculate orbits, and intense observations of the space environment. If we want to avoid another Chicxulub, then among these ongoing activities is the necessity of looking out for large Near Earth Objects, whose orbit might lead them to a serious collision with the Earth. Fortunately, a fair number of organizations do this; NASA is leading the way. We also need to build up the capability to alter the orbit of any such threatening object, so that it will bypass us. </p><p>The first test to alter the orbit of an NEO has already been completed successfully. NASA put out a press release about its Double Asteroid Redirection Test, an attempt to hit the "moon" of NEO Didymos, called Dimorphos. </p><p>Here is an excerpt from the press release: </p><p><span face=""Helvetica Neue", Helvetica, Arial, sans-serif" style="font-size: 14px;"><i>“All of us have a responsibility to protect our home planet. After all, it’s the only one we have,” said NASA Administrator Bill Nelson. “This mission shows that NASA is trying to be ready for whatever the universe throws at us. NASA has proven we are serious as a defender of the planet. This is a watershed moment for planetary defense and all of humanity, demonstrating commitment from NASA's exceptional team and partners from around the world.”</i></span></p><p style="-webkit-font-smoothing: inherit; box-sizing: border-box; font-family: "Helvetica Neue", Helvetica, Arial, sans-serif; font-size: 14px; line-height: 1.4em; margin: 0px 0px 15px;"></p><p style="-webkit-font-smoothing: inherit; box-sizing: border-box; font-family: "Helvetica Neue", Helvetica, Arial, sans-serif; font-size: 14px; line-height: 1.4em; margin: 0px 0px 15px;"><i>Prior to DART’s impact, it took Dimorphos 11 hours and 55 minutes to orbit its larger parent asteroid, Didymos. Since DART’s intentional collision with Dimorphos on Sept. 26, astronomers have been using telescopes on Earth to measure how much that time has changed. Now, the investigation team has confirmed the spacecraft’s impact altered Dimorphos’ orbit around Didymos by 32 minutes, shortening the 11 hour and 55-minute orbit to 11 hours and 23 minutes. This measurement has a margin of uncertainty of approximately plus or minus 2 minutes.</i></p><p style="-webkit-font-smoothing: inherit; box-sizing: border-box; font-family: "Helvetica Neue", Helvetica, Arial, sans-serif; font-size: 14px; line-height: 1.4em; margin: 0px 0px 15px;"></p><p style="-webkit-font-smoothing: inherit; box-sizing: border-box; font-family: "Helvetica Neue", Helvetica, Arial, sans-serif; font-size: 14px; line-height: 1.4em; margin: 0px 0px 15px;"><i>Before its encounter, NASA had defined a minimum successful orbit period change of Dimorphos as change of 73 seconds or more. This early data show DART surpassed this minimum benchmark by more than 25 times. </i></p><p></p><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjxp_VOhYCLxIxoK0Ze2HwL-DA0yhRLlOYuuql7UCfkkYf8G812lM9GjKeBsCsk8LD_KoMcrtBnaVTspkY-qU1DGqV5LsYqSbXnIoCuuZhgicHI_88X1Wo4kj6uJFWCogaXCYP6PVRmTadCxtJbFNb2rvfNWqTkC8ANk__M3I17FQ1O8VT9juWS-Obbmw/s432/3.2_dart_compass_draft2.png" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="399" data-original-width="432" height="296" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjxp_VOhYCLxIxoK0Ze2HwL-DA0yhRLlOYuuql7UCfkkYf8G812lM9GjKeBsCsk8LD_KoMcrtBnaVTspkY-qU1DGqV5LsYqSbXnIoCuuZhgicHI_88X1Wo4kj6uJFWCogaXCYP6PVRmTadCxtJbFNb2rvfNWqTkC8ANk__M3I17FQ1O8VT9juWS-Obbmw/s320/3.2_dart_compass_draft2.png" width="320" /></a></div><p style="margin-left: 1em; margin-right: 1em;"><span face=""Helvetica Neue", Helvetica, Arial, sans-serif"><span style="font-size: x-small;"><i>This imagery from NASA’s Hubble Space Telescope from Oct. 8, 2022, shows the debris blasted from the surface of Dimorphos 285 hours after the asteroid was intentionally impacted by NASA’s DART spacecraft on Sept. 26. The shape of that tail has changed over time. Scientists are continuing to study this material and how it moves in space, in order to better understand the asteroid.</i></span></span></p><p></p><div class="credits" style="box-sizing: border-box; font-family: "Helvetica Neue", Helvetica, Arial, sans-serif; font-size: 11px; font-weight: bold;"><i>Credits: NASA/ESA/STScI/Hubble</i></div><div class="credits" style="box-sizing: border-box; font-family: "Helvetica Neue", Helvetica, Arial, sans-serif; font-size: 11px; font-weight: bold;"><i><br /></i></div><div class="credits" style="box-sizing: border-box; font-family: "Helvetica Neue", Helvetica, Arial, sans-serif;">One must call this a major achievement on the way to protect Earth from a catastrophe similar to which befell the dinosaurs. However, we can't just consider the fate of our Earth. We have the benefit if a fairly dense atmosphere, which not only keeps us alive, but also does a pretty good job of protecting us from the meteors which hit us every day and night. Those range in size from dust grains to small asteroids and burn up in the air because of their high speed (think of shooting stars and fireballs). Beyond a certain size they do not burn up: the bigger, the worse.</div><div class="credits" style="box-sizing: border-box; font-family: "Helvetica Neue", Helvetica, Arial, sans-serif;"><br /></div><div class="credits" style="box-sizing: border-box; font-family: "Helvetica Neue", Helvetica, Arial, sans-serif;">There are projects underway which propose human visits to, and settlements on our Moon and also Mars. The threat of meteorite impacts exists for them just as much as it does for us. It is danger enough; but another threat exists pursuing these plans: highly ionized space radiation. Our atmosphere, and Earth's magnetic field, do a reasonable job of protecting us against this radiation too. That is not quite the case on the Moon and Mars.</div><div class="credits" style="box-sizing: border-box; font-family: "Helvetica Neue", Helvetica, Arial, sans-serif;"><br /></div><div class="credits" style="box-sizing: border-box; font-family: "Helvetica Neue", Helvetica, Arial, sans-serif;">So, using all possible methods: Watch Your Sky...</div><div class="credits" style="box-sizing: border-box; font-family: "Helvetica Neue", Helvetica, Arial, sans-serif;"><br /></div><div class="credits" style="box-sizing: border-box; font-family: "Helvetica Neue", Helvetica, Arial, sans-serif;"><br /></div>Unknownnoreply@blogger.com0tag:blogger.com,1999:blog-1195286216399793210.post-13357402002454647012022-08-29T18:00:00.383-07:002022-09-05T16:58:09.800-07:00An experiment<p>In the late 1980s, my wife and I moved to Toronto for a limited time. During our stay there (about 3 1/2 years) I joined the RASC Toronto Centre, but I also kept my membership in the Vancouver Centre. The Toronto Centre also has a group of people who observe the sky actively. Just as here in Vancouver, light pollution problems in the city made us look for a darker sky, but within a reasonable driving distance. During fall and winter, clear nights in Ontario can be very cold, so you have to be prepared to have some related effects on your telescopes (and yourself - dress accordingly).</p><p>Occasionally, cold air's low relative humidity will fog up your telescope's lenses' external surfaces. Since wiping them by hand is always a bit chancy, some "no-touch" method is preferred. That usually requires some electric power supply to run a "gentle" warming fan or use some other warming method to clear the lenses. In general, that means fairly large, portable batteries, or a connection to your vehicle, or gasoline-driven generators. These requirements made me try another approach. </p><p>Many telescopes come with "dew caps", meant to counter the fogging of optics. I own a C-8 telescope, whose performance and portability make it ideal for observing at various locations. My C-8 did not come with a dew cap, but I found one labelled as made by Nova Astronomy-Products in Toronto. It fit the C-8 nicely. Since my working activities involved electronics, I thought of trying a simple experiment involving standard, small sized resistors (1 to 2 watt rated) to come up with a low powered warming system to repel some more humidity. </p><p>I decided to use 5 resistors with a heat rating of 2 Watts and a resistance of 15 Ohms each (mainly because I had them on hand) and taped this series of resistors into the dew cap so that the resistors are placed near the front of the C-8 when the dew cap is attached to the C-8. The amount of heat generated is small. If you apply 12 Volts to the resistor series (Total of 75 Ohms resistance) you'll get slightly less than 2 Watts as the total amount of heat generated. Each resistor contributes a little less than 0.4 Watts.</p><p>One caution: If you double applied voltage, you will get four times the heat, four times the voltage gives you sixteen times the heat. Remember that the resistors I used can handle only a maximum of 2 Watts each. The effects of Voltage and electrical current changes occur in the domain of the square of their original values. You can exceed ratings and do damage very quickly. Stick with your original values.</p><div class="separator" style="clear: both; text-align: left;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjnOSFgnJpSNAcvEcRSLQYQO2Gn_huwKmdN7vtcGQc8P86qyfr25qEVGo_zbbAndDVLLXdsa1P0YlSjoaAw4e3Y7Rw-l1XNc3diWaCFU6zk0ThyuHEsL78LE9-4yrvn9kfCE2Xn3PBSmMnhOz18YHOm1uWlG7x0EBXNo3jUBeOD8qA1nZZNbE7S_-p2BQ/s4032/IMG_4354.jpg" style="clear: left; float: left; margin-bottom: 1em; margin-right: 1em; text-align: center;"><img border="0" data-original-height="3024" data-original-width="4032" height="240" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjnOSFgnJpSNAcvEcRSLQYQO2Gn_huwKmdN7vtcGQc8P86qyfr25qEVGo_zbbAndDVLLXdsa1P0YlSjoaAw4e3Y7Rw-l1XNc3diWaCFU6zk0ThyuHEsL78LE9-4yrvn9kfCE2Xn3PBSmMnhOz18YHOm1uWlG7x0EBXNo3jUBeOD8qA1nZZNbE7S_-p2BQ/s320/IMG_4354.jpg" width="320" /> </a></div><div class="separator" style="clear: both; text-align: center;"><div class="separator" style="clear: both; text-align: center;"><div style="text-align: left;">The black dew cap mounted on the front end of the orange C8 telescope. The 5 resistors are attached inside the dew cap, where the dew cap and telescope meet.</div><div style="text-align: left;"><br /></div><div style="text-align: left;"><br /></div><div style="text-align: left;"><br /></div></div><div class="separator" style="clear: both; text-align: left;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhCdYhcQbA4Bo3175l28usoAWGHO69nVghNnAe8HV7EnokRZpHHHV7-H8Cu0k2yMuKlUeCU8EZdw8yphsWzupPPqPz8Yio-4Xtl3I4IbuD-LU04ZDiHDto8Ot4rQltxfP0Oy_NR-GM2a4foh3h6lSDxfh0r_gaywNCLUvW9MYhRVfDv8eCchuoKAVV2Bg/s384/15Ohmresistor.jpg" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="384" data-original-width="288" height="320" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhCdYhcQbA4Bo3175l28usoAWGHO69nVghNnAe8HV7EnokRZpHHHV7-H8Cu0k2yMuKlUeCU8EZdw8yphsWzupPPqPz8Yio-4Xtl3I4IbuD-LU04ZDiHDto8Ot4rQltxfP0Oy_NR-GM2a4foh3h6lSDxfh0r_gaywNCLUvW9MYhRVfDv8eCchuoKAVV2Bg/s320/15Ohmresistor.jpg" width="240" /></a></div><br /><div class="separator" style="clear: both; text-align: left;">Inside the dew cap, one of the 15 Ohm, 2 Watt, resistors is shown in front of the C8. Held in place by a small piece of Velcro.</div></div><div class="separator" style="clear: both; text-align: left;"><br /></div><div class="separator" style="clear: both; text-align: left;"><br /></div><div class="separator" style="clear: both; text-align: center;"><br /></div><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgmJETGUI6gG8wS9OW6YiyE5S0IMm1wZozdF8nqCJzCyK084CQb2zQtj-oXi1BLlBREpPVo_IsJ97GcytUM6KfDqXoAusg2riXTgau_1vdSEwLldGlkraas5nT8TKTwDOIHdYMzXyNl7R-91zNhU7yqFKa89zVQaRkn_hVM7VMv9mTeILVZNWmHeM4IEw/s384/IMG_4353.jpeg" style="clear: left; float: left; margin-bottom: 1em; margin-right: 1em;"><img border="0" data-original-height="384" data-original-width="288" height="320" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgmJETGUI6gG8wS9OW6YiyE5S0IMm1wZozdF8nqCJzCyK084CQb2zQtj-oXi1BLlBREpPVo_IsJ97GcytUM6KfDqXoAusg2riXTgau_1vdSEwLldGlkraas5nT8TKTwDOIHdYMzXyNl7R-91zNhU7yqFKa89zVQaRkn_hVM7VMv9mTeILVZNWmHeM4IEw/s320/IMG_4353.jpeg" width="240" /></a></div><div class="separator" style="clear: both; text-align: center;"><br /></div><div class="separator" style="clear: both; text-align: left;">Note the 5 resistors deep in the C-8 dew cap, just in front of the C-8 telescope. They are connected as a series circuit. You can see the wire which connects one to the next. The resistors do not touch the C-8 telescope.</div><div class="separator" style="clear: both; text-align: left;"><br /></div><div class="separator" style="clear: both; text-align: left;">The 2 wires for connecting the resistors to the external voltage source are a small bundle at the lower left, on top of the tripod telescope mount.</div><div class="separator" style="clear: both; text-align: center;"><br /></div><div class="separator" style="clear: both; text-align: center;"><br /></div>You may want to try something similar to what is described above. The "small scale" warm-up arrangement worked reasonably well (and is still, more than 30 years later) at moderate humidity levels. It requires very little electrical power, so that there is little demand on a battery used for powering other functions on your telescope. Unknownnoreply@blogger.com0tag:blogger.com,1999:blog-1195286216399793210.post-90480128662665322712022-06-27T12:59:00.135-07:002022-07-07T12:12:09.866-07:00Life as we know it<p> Last Christmas, I received a present from my family, a book by David Attenborough titled "Living Planet, The Web of Life on Earth". The book was chosen by my granddaughter Meredith. She is in her last year of Marine Biology studies at SFU; obviously, the book relates to that.</p><p>There are a number of picture plate sections distributed throughout the book. Among them are excellent images of "black smokers", located about 3km below ocean surface, which exude hot, sulphide-laden water, and are the home of several anaerobic species (no sunlight). None-the-less, they are a form of life "as we know it"; they are still DNA-based.</p><p style="text-align: center;"><a href="http://commons.wikimedia.org/wiki/File:Blacksmoker_in_Atlantic_Ocean.jpg"><img alt="" class="alignleft size-medium wp-image-262" height="300" src="http://theliquidearth.org/wp-content/uploads/2010/10/407px-Blacksmoker_in_Atlantic_Ocean-203x300.jpg" width="203" /></a> </p><p style="text-align: center;">A black smoker (<span face="sans-serif" style="background-color: white; caret-color: rgb(32, 33, 34); color: #202122; font-size: 12.880000114440918px; text-align: left;"><i>From Wikimedia Commons, the free media repository</i>)</span></p><p style="text-align: left;">Here's a quote from <a href="https://theliquidearth.org/2010/10/black-smokers">https://theliquidearth.org/2010/10/black-smokers</a>: Black smokers
are black chimney shaped formations that are found in large numbers in
“hydrothermal vent fields” in the abyssal and hadal zones of the world’s
oceans. The fields are hundreds of meters wide usually found where
tectonic plates below the ocean are moving, where water seeps down into
the rocks where it becomes superheated, before returning to the surface
where it clouds on contact with the cold ocean water due to the
abundance of dissolved minerals in it. On contact with the cold water,
these minerals fall back to the ocean floor forming a chimney structure
around the vent. Because of the large amount of sulphides in the
superheated water, sulphide ore deposits are usually found at the base
of each chimney. Water at the bottom of the ocean is only around 2<sup>o</sup>c, the water escaping the chimney of the black smoker can be as high as 400<sup>o</sup>c (end of quote).</p><p>This made me think of the efforts currently being initiated by NASA
to send a probe to Europa, the second closest Galilean moon orbiting
Jupiter. The name of the probe is Europa Clipper. Fly-bys by an earlier probe (called Galileo) notwithstanding, there's still relatively little known
about Europa. This new, in-progress mission, NASA hopes, is going to
improve our understanding of that moon. As is quite common, the underlying reason is our search for evidence of possible life elsewhere, other than on Earth. The plan is to launch the probe into space by 2024 to extensively explore Europa from space after arrival in 2031. This multi-orbit exploration will employ a number of various remote-sensing sophisticated sensors. </p><p>The moon Europa appears to be covered by a many-kilometre-thick layer of ice showing cracking ice plates on the surface. Past fly-bys detected characteristics of a deep saltwater ocean below the ice layer, exceeding the amount of water in the oceans here on Earth. A future landing probe would attempt to detect biosignatures of life (as we know it - I can't quite imagine what it would take to recognize a version we DON'T know).</p><p style="text-align: center;"><img alt="Engineers and technicians inspect the main body of NASA’s Europa Clipper spacecraft" height="248" src="https://www.nasa.gov/sites/default/files/styles/full_width/public/thumbnails/image/1-main-pia25236-1041.jpg?itok=u5qehcrR" style="text-align: start;" title="" typeof="foaf:Image" width="372" /></p><p style="text-align: center;"><span style="font-family: inherit;">Engineers and technicians unwrap and inspect the main body of NASA's Europa Clipper spacecraft after it was built and delivered by the Johns Hopkins Applied Physics Laboratory(APL) in Laurel, Maryland, to the agency's Jet Propulsion Laboratory in Southern California in early June. <i>Credits: NASA/JPL Caltech/Johns Hopkins APL/Ed Whitman.</i></span></p><p style="text-align: center;"><span style="font-family: inherit;"> </span></p><div class="separator" style="clear: both; text-align: center;"><a href="https://live.staticflickr.com/953/42064494152_5717791e50_b.jpg" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="668" data-original-width="800" height="276" src="https://live.staticflickr.com/953/42064494152_5717791e50_b.jpg" width="330" /></a></div><p style="text-align: center;">Jupiter's moon Europa. <span style="text-align: left;"> </span><i><span style="text-align: left;">Image Credit: NASA/somagnews.com</span></i></p><p style="text-align: left;">At 3,120 km diameter, Europa is the smallest of the four Galilean moons (a bit smaller than our Moon). It orbits Jupiter at a distance of about 671,000 km and is in a resonance relationship with the moons Io and Ganymede. It takes two orbits for Io to go around Jupiter to one orbit for Europa, four Io orbits for one Ganymede orbit. Jupiter itself has the major gravitational effect. These various interactions create complex gravitational flexing of Europa, which is likely to create heat in Europe's interior (to some degree, other Jupiter moons are similarly affected, of course). Perhaps these effects contribute to the cracked appearance of Europa's surface; maybe black smokers exist on Europa also, along with the extremophiles which are the bacterial basis for the existence of the black smoker anaerobic species in our oceans. </p><p style="text-align: left;">Along with other moons, Europa is also subject to intense radiation which surrounds Jupiter. That situation is not beneficial for life (again, as we know it) on the surface of Europa, but might generate possibilities in the water under the ice shell (maybe turn it into beer?).</p><p style="text-align: left;"> </p><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjW9SP8IM9YCYWt6yx610rH_FvjL4857IPzYJIVvOSFwLOHSuv06GO5nH0D7_eFrkfEyW2fcUwAhK10CO6cJE0N-QWLhSA-S2SZ73PEr-UvH_EwrrFcyCcB8clfIm_nYkDA83W6OHuDGtW2BOKATc28gfn8ojDPeaD_dmuCQLBx-sU9zxNxiErGkkbICg/s796/PIA01180.tif" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="796" data-original-width="310" height="354" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjW9SP8IM9YCYWt6yx610rH_FvjL4857IPzYJIVvOSFwLOHSuv06GO5nH0D7_eFrkfEyW2fcUwAhK10CO6cJE0N-QWLhSA-S2SZ73PEr-UvH_EwrrFcyCcB8clfIm_nYkDA83W6OHuDGtW2BOKATc28gfn8ojDPeaD_dmuCQLBx-sU9zxNxiErGkkbICg/w200-h354/PIA01180.tif" width="200" /></a></div><div class="separator" style="clear: both; text-align: center;"><br /></div><div class="separator" style="clear: both; text-align: center;">Close-up of a rugged area on Europa's surface</div><div class="separator" style="clear: both; text-align: center;"><br /></div><div class="resource_info_container" style="box-sizing: border-box; caret-color: rgb(43, 43, 43); color: #2b2b2b; margin-bottom: 1.3em; margin-top: 0px;"><div class="resource_info" style="box-sizing: border-box; margin-bottom: 0.4em;"><i><span style="font-family: inherit;"><span>Source: <span style="box-sizing: border-box;">NASA/JPL </span>Published <span style="box-sizing: border-box;">January 8, 2019:</span></span></span></i></div><div class="resource_info" style="box-sizing: border-box; margin-bottom: 0.4em;"><span style="font-family: inherit;"><span style="font-size: small;">During its twelfth orbit around Jupiter, on Dec. 16, 1997, NASA's Galileo spacecraft made its closest pass of Jupiter's icy moon Europa, soaring 124 miles (200 kilometers) kilometers above the icy surface. This image was taken near the closest approach point, at a range of 335 miles (560 kilometers) and is the highest resolution picture of Europa obtained by Galileo. The image was taken at a highly oblique angle, providing a vantage point similar to that of someone looking out an airplane window. The features at the bottom of the image are much closer to the viewer than those at the top of the image. Many bright ridges are seen in the picture, with dark material in the low-lying valleys. In the center of the image, the regular ridges and valleys give way to a darker region of jumbled hills, which may be one of the many dark pits observed on the surface of Europa. Smaller dark, circular features seen here are probably impact craters.</span><span style="font-size: small;">North is to the right of the picture, and the sun illuminates the surface from that direction. This image, centred at approximately 13 degrees south latitude and 235 degrees west longitude, is approximately 1 mile (1.6 kilometres) wide. The resolution is 19 feet (6 meters) per picture element. This image was taken on Dec. 16, 1997 by the solid state imaging system camera on NASA's Galileo spacecraft. </span></span><span style="font-family: inherit;"></span></div></div><p style="font-stretch: normal; line-height: normal; margin: 0px;"><span style="font-family: inherit;">NASA has a link to detailed planned activities during a number of Europa Clipper fly-bys. Here it is: <a href="https://europa.nasa.gov/mission/about/">https://europa.nasa.gov/mission/about/</a></span></p><p style="font-family: ".AppleSystemUIFontMonospaced"; font-stretch: normal; line-height: normal; margin: 0px;"><br /></p><div><span style="font-family: inherit;"><span style="caret-color: rgb(74, 85, 104); color: #4a5568;">If you own a pair of reasonably sized binoculars (7x50, say) you can easily see the four starlike Galilean moons, and follow their orbits around Jupiter over hours and days. Telescopes will afford you a closer view, depending on the telescope's size.</span><span style="color: #4a5568;"><span> Exact positions, times, and names are listed in the</span></span><span style="color: #4a5568;"> RASC "Observer's Handbook" which</span><span style="color: #4a5568;"><span> contains a multitude of planetary, orbital, scientific data. It is used by both professional and amateur astronomers. If you are a member of the RASC, the handbook is one of the membership bonuses. </span></span></span></div><p style="text-align: left;"><span style="font-family: inherit;"><span style="color: #4a5568;"><span style="caret-color: rgb(74, 85, 104);">Looking at the Galilean moons, </span></span><span style="caret-color: rgb(74, 85, 104); color: #4a5568;">I'm </span><span style="caret-color: rgb(74, 85, 104); color: #4a5568;">always amazed to think that Galileo's discovery of these moons had a direct effect on, and is perhaps the actual cause of the direction our scientific and cultural evolution has taken since then... life as we know it now.</span></span></p>Unknownnoreply@blogger.com1tag:blogger.com,1999:blog-1195286216399793210.post-50204573717013113602022-04-28T15:13:00.022-07:002022-05-07T19:50:00.543-07:00Moonrise<p> </p><p>Many people have little interest in astronomy. Most of them have never given thought, or don't know, for instance, the cause of the Moon's various phases, and its different locations in the sky from day to day. The picture below was taken through our living room window, the Moon phase shown a day or so after full. The Moon and Earth, as are all the planets and their moons in our solar system, are illuminated by the Sun. </p><p><br /></p><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/a/AVvXsEjya82KBPK7O-vjTt7cB15shyJxYrmKnFoo1cFbyDAk97mfRaBNripKQdc-DNufbivesJrAYwLaNw7RE6WsE9lWWk2UoFckHD-332OsBnh3weRj20HbhA1uYVQ4hRa1UCC4geqfMMndqsyw96zPPrYHmfkgVrQ4HmBmN6RnhFufzuM2GNPKnuiXN7_7mg=s320" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="270" data-original-width="320" height="270" src="https://blogger.googleusercontent.com/img/a/AVvXsEjya82KBPK7O-vjTt7cB15shyJxYrmKnFoo1cFbyDAk97mfRaBNripKQdc-DNufbivesJrAYwLaNw7RE6WsE9lWWk2UoFckHD-332OsBnh3weRj20HbhA1uYVQ4hRa1UCC4geqfMMndqsyw96zPPrYHmfkgVrQ4HmBmN6RnhFufzuM2GNPKnuiXN7_7mg" width="320" /></a></div><div style="text-align: center;"><br /></div><div style="text-align: center;">The Moon about a day after full.</div><p>I expected to see the Moon rise behind the the mountains at about that position and at that time, both from past experience (we've lived in our house for over 50 years), and rough calculations of thumb.</p><p>The Moon's speed in its orbit around Earth is such that it moves the distance of its own diameter (about 3500 km) eastward in an hour. That is its real motion in the sky, as is obvious when compared with the position of background stars. The Moon's apparently much larger motion westward is the result of Earth's daily rotation. </p><p>The full Moon is always located in the sky opposite the sun's position in the sky on an imaginary straight line from the Sun, to the Earth, and then the Moon. For the northern hemisphere in summer, the Sun rises in the northeast, and sets in the northwest. The full Moon on the same day rises in the southeast and sets in the southwest. The winter sunrise and sunset are again opposite each other: Sun southeast rise, southwest set, the full Moon northeast rise, northwest set.</p><p>Throughout the year, as the Earth orbits through the four seasons, the rising and setting points for Sun and Moon change every day; none-the-less, the full Moon is always opposite the Sun. That implies that the position of the Sun in the sky 6 months later will be approximately where the full Moon is today, and the full Moon 6 months later will be approximately where the Sun is today. Opposing positions can also be applied to other phases of the Moon. For instance, first quarter Moon and last quarter are in the same relationship as full Moon and Sun. One difference is that their respective illuminations are opposite. In the northern hemisphere on Earth the first quarter shows the illuminated right side and the third quarter is its illuminated left side, as seen standing up, facing south. In general, all phases of the Moon before full are illuminated on the right side, all phases past full Moon are illuminated on the left side. The opposite is true for the mid-southern hemisphere, where you are looking north to find the Moon. Close to the equator, the Moon moves through the sky overhead, your left/right phase perceptions depend on the direction you're facing. </p><p>An aside: in the northern hemisphere, due to the Earth's daily rotation, Sun, and at night the Moon and astronomical objects move in the sky from left to right, if you are facing south. If you're looking at the North Star, the stars move around it counterclockwise. The North Star is below the horizon for the Southern Hemisphere, there is no South Star. The stars move around the "South Point" clockwise and, facing north, all astronomical objects move from right to left. In the northern hemisphere, you can simulate all these effects by stretching out on the ground. If your head points south, the stars overhead appear to move like they do in the southern hemisphere (right to left); lie down in the southern hemisphere with your head pointing north, they move as they do in the northern hemisphere (left to right). The Cardinal Points North, East, South, and West are never changed. They are the same in both hemispheres. It all boils down to "personal positioning".</p><p>The Earth is not flat after all!</p><p>The Moon's average apparent diameter, as it appears from Earth, is about half of a degree. Also, the Moon in reality moves eastward about one half of a degree per hour (see above). In a day, that is a distance of about 12 degrees. In a month, Earth, along with the Moon, has moved along the Earth orbit by about 30 degrees. The orbit of the full Moon, say, from today's position with respect to background stars to the next time in the same relative position with the same stars is 27.3 days. That is the sidereal month. At that point the Moon is not full again, because of the 30 degree change in the Earth's orbital position. The Moon has to move about 2.2 days more before full phase occurs. Therefore, the synodic month, from full Moon to full Moon, or any other phase to the same phase again is about 29.5 days.</p><p> The numbers shown here are all general approximations and ignore several other aspects of Earth and Moon orbits. For one thing, the plane of the Moon's orbit differs by 5 degrees from the Earth's orbital plane. The Earth's rotational axis is inclined by 23.5 degrees from the vertical to the Earth's orbital plane. Both Moon and Earth orbits are not circles; that also affects orbital speed and position. The imaginary line I mentioned connecting Sun, Earth, and full Moon is only really straight when the Moon is at the crossover points of Earth's and Moon's orbital planes. When lunar eclipse occurs the Earth is exactly between the Sun and the full Moon. With the new, invisible Moon is exactly between the Sun and Earth, solar eclipses occur. At other times, that line is "slightly bent".</p><p>As I mentioned in the beginning, past experience and simple calculations give me an approximate idea about the area in the sky where I should find the Moon, the planets or the major constellations and stars. There are much easier ways to do all this, of course. Nowadays, many computer-based highly accurate sky map applications for smart phones, laptops, and desktops are available. I use those quite often, too. What these apps don't do for me is give me a mental perspective of the spacial distribution of the Moon, Earth, Planets, and stars, and the immense time spans and distances in the universe, something like being on a trip in space, or looking at the sky through binoculars and telescopes. </p><p> You can get an accurate version of the numbers above in the RASC's Observer's Handbook. You can either purchase the book, or have it sent to you without cost if you are a member of RASC Vancouver or other RASC centres.</p><p><br /></p><p><br /></p><p><br /></p>Unknownnoreply@blogger.com0tag:blogger.com,1999:blog-1195286216399793210.post-41890630581008286502021-09-30T16:27:00.300-07:002021-12-03T20:43:27.134-08:00My first Astronomy books<p><br /></p><p>A few days ago, I rifled through one of several of our bookshelves in our house. Hidden behind some family pictures I came across two books which I've had since shortly after I first got interested in Astronomy (at the ripe old age of 8 [I'm now 82]). In previous posts I have stated that I was born in Berlin; the books were published in the German language and were first printed in the 1930's. My copies are reprints from the 1940's.They were already well-used books when they were given to me and haven't improved their condition since then. I wrote about what got me started in astronomy in November 2019; the article appeared in the Jan/Feb 2020 Nova newsletter.</p><p>The books are written by different authors. The older book, "Von Fernen Welten" (Of Distant Worlds) by Bruno H. Bürgel, was originally published in 1910. The author was a true philosopher; he wrote other books about many aspects of the "human condition". As such, this book was written for the general public and was only meant to be a general look into Astronomy. Nonetheless, it contains a lot of astronomical detail.</p><p>The "newer" book, simply named "Astronomie", by Oswald Thomas, was first published in 1933. Thomas was a professional Austrian astronomer and wrote this book for the scientifically interested public and to "fill in" some astronomical themes which were less often addressed in other books on astronomy. It contains a multitude of tables, drawings, information about both the non-rotating and rotating sky, astronomy of the Earth's globe, the solar system, and what was known and unknown of the near and distant universe at the time. However, it was not annually updated. An enlightened neighbour in the apartment building where we lived gave me this (also used) book in 1953 as a present. </p><p></p><div class="separator" style="clear: both; text-align: center;"><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEidSRc1dZ_EGwQlp4OhCe4OUOOnwOA74rfC8kIjFhzQhGIPC_QMMdp-a0V4S2SKWkRhpAVYjhKmEC30fhxV0VwIu_iXdSsEe1cH3ApKb7FaTem8oOTXwdPNre77mT85_bCKcxOBw1HhMN0K/" style="margin-left: 1em; margin-right: 1em;"><img alt="" data-original-height="1536" data-original-width="2048" height="240" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEidSRc1dZ_EGwQlp4OhCe4OUOOnwOA74rfC8kIjFhzQhGIPC_QMMdp-a0V4S2SKWkRhpAVYjhKmEC30fhxV0VwIu_iXdSsEe1cH3ApKb7FaTem8oOTXwdPNre77mT85_bCKcxOBw1HhMN0K/" width="320" /></a></div>The battered books<br /><br /></div>Bruno Bürgel's book gave me more motivation to look at and learn more about the sky. I spent many hours in public libraries. The sky of Berlin in the late 40's and early 50's was far less light-polluted, because many buildings had been bombed into ruins and streets were still sparsely illuminated. We could not afford to buy a pair of binoculars, never mind a small telescope, but I was the proud possessor of a 3X40 Galilean monocular. That monocular was my "telescope" for a number of years. It was an overwhelming feeling for me to find some of the interesting astronomical details mentioned in Bürgel's book. Oswald Thomas's book became my reference book later, and I occasionally still refer to it. Even in this digital age, well-written older books have value. They can last centuries and don't need batteries.<div><div><br /></div><div>Nowadays, you can get all this information on the internet, and on your smartphone or home computers; at that earlier time the necessary technology did not exist. I've used the two books only occasionally in the last 4 decades. Having been a member of the RASC through all this time I have the advantage of access to up-to-date astronomical information in the annual Observers' Handbook, SkyNews magazine, the RASC Vancouver Centre's library, and the Nova newsletter, all included in membership. The astronomical knowledge and experience of RASC members is freely given to everyone who asks, member or not. </div><div><br /></div><div>In early 1950, I joined an astronomy club called the BAV (Berlin Association [workgroup] for Variable stars) which had access to the what was then a temporarily located Wilhelm Foerster observatory (see note). It had a seven inch refractor, exposed to the weather (no domed building). The telescope had been built by dedicated amateur astronomers with salvaged parts from the bomb-damaged Urania observatory in Berlin. We were an enthusiastic group of people of various age and, beside variable stars, observed everything else, too, along with setting up and showing people the view through the telescope on public astronomy nights. Our variable star observational results were mailed to the AAVSO in the U.S. and I hand-copied their reference maps by tracing them on transparent paper (AAVSO's star maps are now accessible on-line). I still regard my participation in our RASC's in-person public astronomy nights as my most rewarding of astronomical activity. Covid-19 has put a damper on this in the last couple of years, but I'm hopeful about doing so again soon (subject to Covid-related rules at this time).</div><div><br /></div><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiT5gyJGJberUqYpi3L7KRTgElUXUlqmgpqAezfAJHtoDW2uga9nRzn9a_kXUzS-XJKzy9M-UboIbHN57pZLUsxxKy-xZExHmUIlNAEWGF4abAY1b6N_xAgsIySKYhdMVuhz59PnOPsJH75/s1195/Wilhelm+Foerster+Sternwarte54.jpg" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="807" data-original-width="1195" height="216" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiT5gyJGJberUqYpi3L7KRTgElUXUlqmgpqAezfAJHtoDW2uga9nRzn9a_kXUzS-XJKzy9M-UboIbHN57pZLUsxxKy-xZExHmUIlNAEWGF4abAY1b6N_xAgsIySKYhdMVuhz59PnOPsJH75/s320/Wilhelm+Foerster+Sternwarte54.jpg" width="320" /></a></div><div style="text-align: center;"><br /></div><div style="text-align: center;"><span style="text-align: left;"> The "temporary" Wilhelm Foerster Observatory, about 1950</span></div><div style="text-align: center;"><span style="text-align: left;"><br /></span></div><div style="text-align: justify;"><span style="text-align: left;">Note: The new Wilhelm Foerster observatory is now located on top of the only "mountain" in Berlin worth that designation (in my opinion); the mountain consists of thousands of tons of broken bricks and cobblestones, and other detritus collected from the war's ruins when rebuilding of the city was underway after the war. Trees and other plants have turned it into a beautiful park. The 3-dome Wilhelm Foerster observatory is now a totally up-to-date public institution connected to a Zeiss planetarium.</span></div><div><br /></div></div>Unknownnoreply@blogger.com0tag:blogger.com,1999:blog-1195286216399793210.post-47231333520314726382021-08-08T12:29:00.033-07:002021-08-30T11:27:24.839-07:00Radio Station Andromeda ?<br /><div><p style="font-family: "Helvetica Neue"; font-size: 13px; font-stretch: normal; line-height: normal; margin: 0px;"><br /></p><p class="p1" style="-webkit-text-size-adjust: auto; font-stretch: normal; line-height: normal; margin: 0px; text-align: center;"><span class="s1"><span style="font-size: 19px;"> </span><span style="font-size: x-small;">(whimsical)</span><span style="font-size: 19px;"> </span></span></p><p class="p1" style="-webkit-text-size-adjust: auto; font-stretch: normal; line-height: normal; margin: 0px; text-align: center;"><span class="s1"><span style="font-size: 19px;">Radio Andromeda</span></span></p><p class="p2" style="-webkit-text-size-adjust: auto; font-size: 19px; font-stretch: normal; line-height: normal; margin: 0px; min-height: 22.7px;"><span class="s1"> </span></p><p class="p1" style="-webkit-text-size-adjust: auto; font-size: 19px; font-stretch: normal; line-height: normal; margin: 0px;"><span class="s1">I take a daily half-hour walk, sometimes inside our house, or the back yard, or around several blocks in our neighbourhood. While doing that, most of the time I listen to the radio or music library on my cell phone. I've set the music to be played in random sequence. It seems to make the time go faster.</span></p><p class="p2" style="-webkit-text-size-adjust: auto; font-size: 19px; font-stretch: normal; line-height: normal; margin: 0px; min-height: 22.7px;"><span class="s1"></span><br /></p><p class="p1" style="-webkit-text-size-adjust: auto; font-size: 19px; font-stretch: normal; line-height: normal; margin: 0px;"><span class="s1">One of the tracks is called "Radio Andromeda" (electronic music by Michael Walthius). 7 minutes long, it has just the right tempo for a good walk. The other day, walking, and fantasizing that this melody was actually a transmission sent by a civilization living somewhere in the Andromeda Galaxy, and imagening my receiving it just now on my radio. It would imply a much advanced intelligence but with a technology in some way compatible with ours. </span></p><p class="p2" style="-webkit-text-size-adjust: auto; font-size: 19px; font-stretch: normal; line-height: normal; margin: 0px; min-height: 22.7px;"><span class="s1"></span><br /></p><p class="p1" style="-webkit-text-size-adjust: auto; font-size: 19px; font-stretch: normal; line-height: normal; margin: 0px;"><span class="s1">We know of nothing in our physical world that can move faster than the speed of light. The interesting aspect of my fantasy would be that this music would have had to be transmitted about 2,400,000 years ago, since the Andromeda Galaxy is 2.4 million light years distant. It also means that these "Andromedans" will have had 2,400,000 years to evolve since then (approximately the time it has taken for humans to evolve from Australopithecus to Homo sapiens). If they exist, would we even be able to recognize them? </span></p><p class="p2" style="-webkit-text-size-adjust: auto; font-size: 19px; font-stretch: normal; line-height: normal; margin: 0px; min-height: 22.7px;"><span class="s1"></span><br /></p><p class="p1" style="-webkit-text-size-adjust: auto; font-size: 19px; font-stretch: normal; line-height: normal; margin: 0px;"><span class="s1">There is another field of physics, the mathematical and observational basis of how the world around us works: it is called Quantum Mechanics. Personally, I find it difficult to wrap my mind around many of the concepts of this discipline. Perhaps the "Andromedans" have mastered the art of making use of its quantum entanglement and superposition effects, and have somehow circumvented its no-communication theorem. That might give them the ability to be aware of who we are and what we do in "real time", even from a distance as far away as the Andromeda Galaxy. (</span><span class="s2" style="font-style: italic;">NO, I don't take "social" drugs, or smoke anything. I do have the occasional glass of red wine, though not before my daily walk</span><span class="s1">). </span></p><p class="p1" style="-webkit-text-size-adjust: auto; font-size: 19px; font-stretch: normal; line-height: normal; margin: 0px;"><br /></p><p class="p1" style="-webkit-text-size-adjust: auto; font-size: 19px; font-stretch: normal; line-height: normal; margin: 0px;">This fantasizing is, of course, just my brain freewheeling. Quite aside from that, I look at the Andromeda Galaxy through binoculars often, preferably from an area with no or little light pollution. It looks nothing like its long-exposure, colourful photos. Our visual perception of it is colourless. The light emitted from all the stars in that galaxy is too faint to stimulate the colour receptors in our eyes. </p><p class="p2" style="-webkit-text-size-adjust: auto; font-size: 19px; font-stretch: normal; line-height: normal; margin: 0px; min-height: 22.7px;"><br /><span class="s1"></span></p><p class="p1" style="-webkit-text-size-adjust: auto; font-size: 19px; font-stretch: normal; line-height: normal; margin: 0px;"><span class="s1">As an example, look at our own galaxy, the Milky Way. We can't see it in our light-polluted cities at all; in dark areas it just appears to be, well, faintly "milky" - no colour. Consider that we actually live inside our galaxy, </span><span class="s1"><span class="s1">in comparison, </span></span><span class="s1"><span class="s1"><span class="s1">at its distance, </span></span>it's no wonder the Andromeda Galaxy appears so faint. And yet, it is larger than our Milky Way and bright enough under a clear, dark sky to be visible with the naked eye as a grey patch. The best view I've had of the Andromeda Galaxy was in 1993 under a very dark sky at Crater Lake, Oregon.</span></p><p class="p2" style="-webkit-text-size-adjust: auto; font-size: 19px; font-stretch: normal; line-height: normal; margin: 0px; min-height: 22.7px;"><br /><span class="s1"></span></p><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEj0A7KGL2uLzuJ3VkTccRPzZbuFppNR9qS-qZWfYQbP9DwdvfbtNWKuKqyOZByklHr4qtmE7bJdNW2mMhPpIhv39pKN5Fvpzy6TdBcYt4gQ8xhrwgypB2RVHxQg3Xgid49A6XPykhy_qozs/s288/Andromeda+crop+3.jpg" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="230" data-original-width="288" height="230" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEj0A7KGL2uLzuJ3VkTccRPzZbuFppNR9qS-qZWfYQbP9DwdvfbtNWKuKqyOZByklHr4qtmE7bJdNW2mMhPpIhv39pKN5Fvpzy6TdBcYt4gQ8xhrwgypB2RVHxQg3Xgid49A6XPykhy_qozs/s0/Andromeda+crop+3.jpg" width="288" /></a></div><div class="separator" style="clear: both; text-align: center;"><br /></div><p class="p1" style="-webkit-text-size-adjust: auto; font-stretch: normal; line-height: normal; margin: 0px; text-align: center;"><span class="s1" style="font-size: medium;">This image approximates how the Andromeda Galaxy shows in binoculars under a dark sky. </span></p><p class="p2" style="-webkit-text-size-adjust: auto; font-size: 19px; font-stretch: normal; line-height: normal; margin: 0px; min-height: 22.7px;"><span class="s1"></span><br /></p><p class="p1" style="-webkit-text-size-adjust: auto; font-size: 19px; font-stretch: normal; line-height: normal; margin: 0px;"><span class="s1">I've written in earlier posts how useful binoculars are in astronomy; if you know the sky reasonably well, a whole evening can pass looking at or searching for many objects, using only binoculars. Interesting views of those, i.e. the Orion Nebula, M13 (the global cluster in the constellation Hercules), the Milky Way in our southern sky with several gaseous nebulae and star clusters, and numerous stars; several nebulae in the Cygnus area overhead; all are bright enough to be visible at this time of year. The wide field of view in binoculars make them ideal for objects that cover a wider area in the sky. Stars bright enough to actually show some colour are also enhanced when looking at them through binoculars. </span></p><p class="p2" style="-webkit-text-size-adjust: auto; font-size: 19px; font-stretch: normal; line-height: normal; margin: 0px; min-height: 22.7px;"><span class="s1"></span><br /></p><p class="p1" style="-webkit-text-size-adjust: auto; font-size: 19px; font-stretch: normal; line-height: normal; margin: 0px;"><span class="s1">A comfortable reclining chair greatly enhances an experience similar to actually being "in space". You may even want to listen to a <span class="Apple-converted-space"> </span>radio while you're exploring the sky, perhaps looking at the Andromeda Galaxy. Who knows what you might hear... ?</span></p><p class="p2" style="-webkit-text-size-adjust: auto; font-size: 19px; font-stretch: normal; line-height: normal; margin: 0px; min-height: 22.7px;"><span class="s1"></span><br /></p><p class="p2" style="-webkit-text-size-adjust: auto; font-size: 19px; font-stretch: normal; line-height: normal; margin: 0px; min-height: 22.7px;"><span class="s1"></span><br /></p></div>Unknownnoreply@blogger.com1tag:blogger.com,1999:blog-1195286216399793210.post-16865744452759735642021-05-31T20:29:01.002-07:002021-06-25T12:14:36.191-07:00An interesting pair<p><span style="font-size: medium;">Lately, there have been several missions to Mars; a number more to the Moon and the "rocky" planets in our solar system are planned. Among these, NASA and JPL are working on two missions to Venus, the planet physically very similar to Earth, but, environmentally speaking, very different.</span></p><div class="separator" style="clear: both; text-align: center;"><a href="https://o.aolcdn.com/images/dims?quality=100&image_uri=http%3A%2F%2Fo.aolcdn.com%2Fhss%2Fstorage%2Fmidas%2F9a4afcf2842d887fa56d1335c214510b%2F204174918%2Fvenus-earth-habitable-2016-08-08-01.jpg&client=amp-blogside-v2&signature=17db069cfac1a7cb00eee72b6d0c67b2affc5c0b" style="margin-left: 1em; margin-right: 1em;"><span style="font-size: medium;"><img border="0" data-original-height="415" data-original-width="800" height="208" src="https://o.aolcdn.com/images/dims?quality=100&image_uri=http%3A%2F%2Fo.aolcdn.com%2Fhss%2Fstorage%2Fmidas%2F9a4afcf2842d887fa56d1335c214510b%2F204174918%2Fvenus-earth-habitable-2016-08-08-01.jpg&client=amp-blogside-v2&signature=17db069cfac1a7cb00eee72b6d0c67b2affc5c0b" width="400" /></span></a></div><div style="text-align: center;"><span style="font-size: medium;">Venus and Earth.</span></div><div style="text-align: center;"><span style="font-size: medium;">(image credit NASA/JPL)</span></div><p><span style="font-size: medium;">Venus' orbit is closer to the Sun. It is also the closest planet to us, its distance from the Sun is 72% of Earth's distance. This implies that Venus may have had a climate similar to Earth's in the earlier years of its existence. It makes sense that a closer distance to the Sun would result in a higher, but still tolerable average surface temperature there. Venus orbits within the "Goldilocks" zone, nearer the inner limit. </span><span style="font-size: large;">Mars orbits inside the outer limit. </span><span style="font-size: large;">Water can exist in a liquid state in that zone. However, at the present time, Venus' surface temperature is about 460[!] degrees Celsius. In addition, the atmospheric pressure is about 90 times that of our home planet; the composition of its atmosphere is also very different from ours. The reason for this extreme climate change is unknown, a greenhouse gas effect, perhaps? The rotational axis of Venus is only 2.3 degrees off its orbital plane and Venus rotates "retrograde" once in 243 days; could this have contributed to the current situation? Finding a possible cause is also a purpose of the two missions. </span></p><p><span style="font-size: medium;">As usual, NASA's planned Venus missions are named to have some clever, and purpose-implying acronyms. VERITAS (Venus Emissivity, Radio science, InSAR [Interferometric Synthetic Aperture Radar], Topography, Spectroscopy) will orbit Venus with the purpose of obtaining surface and interior gravitational details. Perhaps there are formations (i.e. possible traces of lake beds or river valleys) that indicate the presence of water at an earlier time. There will also be an effort to determine whether there is evidence of tectonic plates and activity in the past, or even now. </span></p><p><span style="font-size: medium;">The other orbiter, DAVINCI+ (Deep Atmosphere Venus Investigation of Noble gases, Chemistry, Imaging Plus) consists of an orbiter and a lander. The lander is designed to settle on the surface of Venus, to measure atmospheric details on the way down, and surface characteristics as well. Both orbiters will probably act as communications relays. Lately, there have been some reports of detecting phosphine gas in the atmosphere, maybe indicating some form of airborne life. Others disagree. After a number of years of lax interest, Venus has come to the forefront of scientific investigation again.</span></p><p><span style="font-size: medium;">To withstand the current temperatures on Venus, a lander will have to have especially well designed heat protection. Russia sent the world's first-ever lander to Venus (Venera 9) in 1975; it sent signals for a little more than 50 minutes, after which contact was lost. There have been a number of landers by both Russia and NASA since then. I think that the super-hot environment likely gets the better of most of them.</span></p><p><span style="font-size: medium;">Venus' atmosphere now is mostly carbon dioxide, with sulfur dioxide clouds and sulfuric-acid rain drops. Life on Earth (you and I are included) also generates carbon dioxide all the time, much of which, via a series of chemical actions, is converted back to oxygen by plankton in the oceans, and our plants and trees. But our industrial and agricultural activities are releasing large amounts of methane (20x more efficient at trapping heat than CO2) and other pollutants, some of which also trap heat. Recent climate changes hint that global warming is happening now. </span></p><p><span style="font-size: medium;">Venus and Earth are an interesting, at first glance very similar pair
of planets next to each other, yet they have such amazingly different surface environments.</span></p><p><span style="font-size: medium;">Are we looking at a future on Earth similar to the present conditions on Venus ? Are we smart and nimble enough to head off such future ?</span></p><p><span style="font-size: medium;"><span style="font-size: medium; text-align: center;">If you're interested in seeing both of the other two planets sharing the Goldilocks zone, in the western sky on July 12, 2021, </span><span style="text-align: center;">around 9:30 pm and later, you can see</span><span style="font-size: medium; text-align: center;"> both Mars and Venus close together </span></span><span style="font-size: medium;"><span style="text-align: center;">(and </span></span><span style="font-size: medium; text-align: center;">the Moon a bit farther away). Be careful if you look for Venus before sunset. It is fairly close to the Sun - the standard warning is: don't damage your eyesight, never look at the Sun with the naked eye, binoculars, or telescopes. Proper solar filters are necessary for that. After sunset, Venus, Mars, and the Moon are all close to the West North Western horizon; at that point </span><span style="font-size: medium; text-align: center;">binoculars are helpful. An unobstructed western horizon is best.<br /></span></p><p></p><br /><div class="separator" style="clear: both; text-align: center;"><br /><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgS3BtvIPxEnklyWImbxUePk7kDcsPfFu02Aqau9m4U2pfGOXHh_1kLQs3Y31LrMLZXANh6y0McB_mdULjnFpPKd6l_fBRNKa60yH7zAS3NNxUNstkJDIX2WU930WVkLbx47EQJA7RCNT3D/s1589/SkvSafaricopped.jpeg" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="1002" data-original-width="1589" height="410" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgS3BtvIPxEnklyWImbxUePk7kDcsPfFu02Aqau9m4U2pfGOXHh_1kLQs3Y31LrMLZXANh6y0McB_mdULjnFpPKd6l_fBRNKa60yH7zAS3NNxUNstkJDIX2WU930WVkLbx47EQJA7RCNT3D/w649-h410/SkvSafaricopped.jpeg" width="649" /></a></div></div><span style="font-size: medium; text-align: center;"><br /></span><p></p><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhFGlBwXuQrNbk_0Fz_gRudIc6BLax8WUj2az0_ggRW-xIecOpTeeYDfOKpVmI4r-Dh6GOw6LrZnpvurA-XUfhvXf_NdtVb6odvbf5quymXMAXCGRGu6P4Dr96GndztPFCFgPts4nOHaUJc/s2048/Screen+Shot+2021-06-15+at+1.02.22+PM.png" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="2048" data-original-width="1630" height="828" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhFGlBwXuQrNbk_0Fz_gRudIc6BLax8WUj2az0_ggRW-xIecOpTeeYDfOKpVmI4r-Dh6GOw6LrZnpvurA-XUfhvXf_NdtVb6odvbf5quymXMAXCGRGu6P4Dr96GndztPFCFgPts4nOHaUJc/w660-h828/Screen+Shot+2021-06-15+at+1.02.22+PM.png" width="660" /></a></div><div class="separator" style="clear: both; text-align: center;"><br /></div><div class="separator" style="clear: both; text-align: center;">West North West<br /></div><span style="font-size: medium; text-align: left;"><p style="text-align: center;"><span style="text-align: left;">Simulated image from SkySafari 4 Plus</span></p></span><p></p><p></p><p><span style="font-size: medium;">(References and credits: RASC Observer's Handbook, Scientific American, Wikipedia, NASA/JPL, The Planetary Report)</span></p>Unknownnoreply@blogger.com0tag:blogger.com,1999:blog-1195286216399793210.post-77933117625904947192021-04-30T17:31:00.030-07:002021-05-24T12:32:47.631-07:00In thin air<p><br /> </p><p>In my previous post, I alluded to the immense engineering resources needed for the very demanding, highly successful landing of a very complex rover vehicle (named Perseverance) on Mars. </p><p style="text-align: left;">The Perseverance rover on Mars had, as part of the payload, a small, specially designed helicopter to test the possibility of flying in the very thin Martian atmosphere. Ingenuity, the name of this helicopter, has now flown several times on Mars and met and exceeded all goals set for it, including flying far enough to be almost out of sight of the cameras on Perseverance. By necessity, both Perseverance and Ingenuity have to be autonomous; at this time any control signal from Earth would take about 16 and a half minutes to reach both Ingenuity and Perseverance. Information from NASA/JPL regarding Ingenuity says that this little helicopter exceeded the test performance well beyond expectations. <br /></p><p style="text-align: center;"> </p><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEj1hUIj9SKrvu9NfCZ32YRpp720xruXCTio6jjJJEyN3oFW6CKBOiDVFVIP9hltLoMfN-46HfPeRlgxOpzQD-kZCQMjH6EZ_ZUFtX9YhgAKfnRiOC7TswknNcenb72Cr8cmCRvf1c9Bh4jz/s1378/Ingenuity+Mars+scene+labelled.jpg" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="1033" data-original-width="1378" height="341" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEj1hUIj9SKrvu9NfCZ32YRpp720xruXCTio6jjJJEyN3oFW6CKBOiDVFVIP9hltLoMfN-46HfPeRlgxOpzQD-kZCQMjH6EZ_ZUFtX9YhgAKfnRiOC7TswknNcenb72Cr8cmCRvf1c9Bh4jz/w466-h341/Ingenuity+Mars+scene+labelled.jpg" width="466" /></a></div><p></p><p></p><div class="separator" style="clear: both; text-align: center;">(Online readers click on image for larger image)</div><div class="separator" style="clear: both; text-align: center;"><br /></div><div style="text-align: center;"> This is a picture of Ingenuity flying in the distance (label) imaged from the Perseverance rover (Image from NASA and JPL.) </div><p></p><p>NASA News indicates an expanded demonstration phase is going to start a couple of weeks from the time of writing (April 30). Ingenuity has proven that its communications, navigation, imaging and other functions are working well, and expanded operations will be initiated. In future, other Mars helicopters will play an ever-expanding role in getting to know far more Mars details. One of the main efforts is to find out whether traces of past or present extraterrestrial life exist now. There are many interesting topological formations on Mars which may be suitable; an area on Mars in which traces of life (as we know it) could possibly be found: under the icecaps. Martian seasons are similar to Earth, but last about twice as long. Mars is farther away from the Sun, and takes about twice as much time to complete one orbit. </p><p style="text-align: left;">Below are some of pictures showing the edges of Martian ice caps. The ice caps contain water ice for the most part and are usually covered by CO<span style="font-size: x-small;">2 </span>ice (dry ice) during the Martian "winter". The caps melt and rebuild much like on Earth over the span of the Martian "year". Wikipedia contains details regarding Martian polar ice caps.</p><p style="text-align: center;"></p><p style="text-align: center;"></p><p style="text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhKsj0TvNsg8sIdYyOhd4ZJM27HYsXlE0kZWTqTg6Ap78qHGR1vxgRXIz0CtegdJ78MGC56tyOv86hiGEsXREsAxh3CIXd0e_a0pxWGpuQZKUjcCqp-72aP8agCZ0S2xZfHrqMLXwSNMUBa/s1863/Mars+Ice+Edge+.jpg" style="margin-left: 1em; margin-right: 1em; text-align: center;"><img border="0" data-original-height="1863" data-original-width="836" height="294" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhKsj0TvNsg8sIdYyOhd4ZJM27HYsXlE0kZWTqTg6Ap78qHGR1vxgRXIz0CtegdJ78MGC56tyOv86hiGEsXREsAxh3CIXd0e_a0pxWGpuQZKUjcCqp-72aP8agCZ0S2xZfHrqMLXwSNMUBa/w132-h294/Mars+Ice+Edge+.jpg" width="132" /></a><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhoBXjojDf40ooOU0G503-VpNWc126ecjaICcuIzvDxSm_ldzSfnBesF_Q7OGjJ0aZkyj4HXjraBYj4-sQ1yUcPXDkBAu6Vi6AetLBES_nBK6IdAh4opFQXM0Emb9msn54yMNrfXTOKuVV4/s2048/Mars+Ice+border.png" style="margin-left: 1em; margin-right: 1em; text-align: center;"><img border="0" data-original-height="1157" data-original-width="2048" height="293" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhoBXjojDf40ooOU0G503-VpNWc126ecjaICcuIzvDxSm_ldzSfnBesF_Q7OGjJ0aZkyj4HXjraBYj4-sQ1yUcPXDkBAu6Vi6AetLBES_nBK6IdAh4opFQXM0Emb9msn54yMNrfXTOKuVV4/w318-h293/Mars+Ice+border.png" width="318" /></a> </p><p style="text-align: center;">(Online readers click on image for larger scale)</p><p style="text-align: center;">(Credit for above images: NASA/JPL, Caltech, University of Arizona)</p><p>It seems that this rough terrain would be problematic for any rover, but could much more easily be explored by drone-like "Ingenuity" helicopters. </p><p>There is a iGadgetPro YouTube entry showing ice and dust avalanches at the edge of the North Polar ice cap. The images were obtained by NASA's Reconnaissance orbiter's HIRISE camera.</p><p></p><div class="separator" style="clear: both; text-align: center;"><br /></div><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEio8GU5ujfi73DchS4ibniiKdVR1t5gJhayAlMWTc-dkKG5Zxz3w3OSznS4UCsBFbuNpHxclogpOQeWknmSa5-6hZgzz1F3OdBJuVv7ODTbxbxxLcszgO7xkW1oN24P83OIfC3vXw0RmqVh/s1200/Mars+avalanche1.jpg" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="675" data-original-width="1200" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEio8GU5ujfi73DchS4ibniiKdVR1t5gJhayAlMWTc-dkKG5Zxz3w3OSznS4UCsBFbuNpHxclogpOQeWknmSa5-6hZgzz1F3OdBJuVv7ODTbxbxxLcszgO7xkW1oN24P83OIfC3vXw0RmqVh/s320/Mars+avalanche1.jpg" width="320" /></a></div><br /><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiSseE9Mck2KhdukNZmzUjYyIvw2FXdAv1gIA5kBKYLdv07KQ6H_XaZKp9Sn0DtIW8mZQfJPNcp_9XJH0PGU6AW3or6hbKCWObtsGVKeGl3XGVV-QYacJ_lYw62vn2xR9Sd9rJ7q8qHbjiA/s1200/Mars+avalanche2.jpg" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="675" data-original-width="1200" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiSseE9Mck2KhdukNZmzUjYyIvw2FXdAv1gIA5kBKYLdv07KQ6H_XaZKp9Sn0DtIW8mZQfJPNcp_9XJH0PGU6AW3or6hbKCWObtsGVKeGl3XGVV-QYacJ_lYw62vn2xR9Sd9rJ7q8qHbjiA/s320/Mars+avalanche2.jpg" width="320" /></a></div><br /><div class="separator" style="clear: both; text-align: center;">(Online readers click on image for larger scale)</div><div class="separator" style="clear: both; text-align: center;"><br /></div><div class="separator" style="clear: both; text-align: center;">(Credit for above images: NASA/JPL, Caltech, University of Arizona)</div><br />When the Sun shines on the layers of the ice caps edges, the warmth makes the ice unstable. Blocks of rock and ice can break off and fall down the about 500m tall edges to create ice and dust clouds when they hit bottom. The colours vary depending on the proportions of dust and ice mixed in these avalanches. <p></p><p>It always amazes me to see dense clouds of dust in such a thin atmosphere in pictures transmitted from Mars. Well, it made the idea to try flying aircraft on Mars plausible. </p><p><br /></p><p><br /></p>Unknownnoreply@blogger.com0tag:blogger.com,1999:blog-1195286216399793210.post-2656131955421643282021-03-01T16:24:00.011-08:002021-04-01T11:27:24.401-07:00Life on Mars?<p><br /></p><p>The recent landing of the newest Martian Rover (named Perseverance) on February 18, 2021 is truly amazing. The engineering resources deployed to reach this highly difficult goal are overwhelming. Perseverance has as one of its main tasks the finding possible traces of past or present life on Mars. There are several new and proven sensing, imaging, and analyzing devices on board, in addition to others of Mars-proven technologies. Congratulations to everyone who is involved with and contributes to this astounding feat. </p><p>The picture shows a bleak, dry, and waterless landscape, unlikely to be very hospitable to life. But we have images of what appear to be momentary water flows on some Martian crater slopes. We know from past rovers that, in some areas, water ice is present close to the surface. That is a driving reason behind the plans to land people on Mars in future.</p><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgK8qewK11ZQa-Cn9LNY4fv92JhdkbhbD6jRn6XY8Ytuv6MKvjrQckbges9PgOAc8ne7rHOYl0MvpyiOAksfFDW7fWHeJEsWkKVlmgJO414forxm-k0Jpgl8h-DZpuGo2aObO_8xrA2qsb6/s1280/Mars+Perseverance.jpg" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="719" data-original-width="1280" height="233" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgK8qewK11ZQa-Cn9LNY4fv92JhdkbhbD6jRn6XY8Ytuv6MKvjrQckbges9PgOAc8ne7rHOYl0MvpyiOAksfFDW7fWHeJEsWkKVlmgJO414forxm-k0Jpgl8h-DZpuGo2aObO_8xrA2qsb6/w414-h233/Mars+Perseverance.jpg" width="414" /></a></div><div class="separator" style="clear: both; text-align: center;">Perseverance on Mars (from Space.com)</div><div class="separator" style="clear: both; text-align: center;"><br /></div><div>This landing achievement, the activities planned for this most complex of Martian rovers, and the recent close opposition of Mars in our sky, made me think of a book my mother gave me in 1953, knowing my interest in astronomy. The book's contents address the idea that life of some kind exists everywhere in the universe. Its title is (translated from German) "What lives on the stars"; in it, the author Desiderius Papp describes the intense human fascination with extraterrestrial life during the period in the late 1920s. I had a look into that book again while writing this.</div><div><br /></div>Humanity has for ages "populated" Mars (and the other planets, and some of their moons) with some type of life, usually at least equal, if not superior to us. In the later part of the 1920s a lot of people again speculated about the existence of extraterrestrial life on the planets of our solar system. The beginning of this period seems to have been based on the Mars drawings by the astronomer Giovanni Schiaparelli, who observed Mars for many years in the 1870's and beyond. Some of these drawings show thin lines, which he labelled "canali" (channels), later translated by others as "canals". <div><div><br /></div><div>Schiaparelli's visual images were produced using a modest telescope (by today's standards) at an Observatory in northern Italy, working near the limits of its capabilities. As a conscientious observer, he must have had some doubts about the lines he saw, asking himself whether they were optical illusions or real. Many other astronomers of renown never saw these channels. In the 1920's, on and after the 50th anniversary of Schiaparelli's publication of his drawings, the general public got excited over the idea that these supposed canals were the product of highly intelligent and accomplished beings, trying to save their existence by collecting the meltwater from Mars' icecaps; realizing that their planet was rapidly losing its water. </div><div><br /></div><div style="text-align: center;"><br /></div><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEg51qhyqP-luSKLhiryIjwe1DJH7MzHpX2veX2rNrJdI9XjWxZOqa2aE3i1dbPzR06dGGdLJs5FYQx49lf8QVc8zhC47H9RuDooGJ2KJQAjVmntzfYbKixGxft2V6mlxY6DbqigG8a97GO0/s1200/Schiaparelli+Marsmap.jpg" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="647" data-original-width="1200" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEg51qhyqP-luSKLhiryIjwe1DJH7MzHpX2veX2rNrJdI9XjWxZOqa2aE3i1dbPzR06dGGdLJs5FYQx49lf8QVc8zhC47H9RuDooGJ2KJQAjVmntzfYbKixGxft2V6mlxY6DbqigG8a97GO0/s320/Schiaparelli+Marsmap.jpg" width="320" /></a></div><div><br /></div><div style="text-align: center;">One of Giovanni Schiaparelli's Mars maps (scienceclarified.com)</div><div style="text-align: center;"><br /></div><div>It seems that Schiaparelli never promoted those ideas himself (he died in 1910). However, there were numerous people who expanded this concept, well-known scientists, poets, researchers, and authors of phantasy literature, comics etc., all contributed. One popular astronomer (Camille Flammarion) had no compunctions about stating that these canals were, without a doubt, the result of beings with immensely superior logic and capabilities. Flammarion and other people produced amazingly detailed maps of Mars and the canals, the location of supposedly large cities, possible transportation methods, plant life, many of these ideas amazingly anthropological. One well-known explorer of Mars (Percival Lowell, business man, mathematician, astronomer, author) used his own fortune to build a then state-of-the-art observatory in 1893-1894 at Flagstaff, Arizona, dedicated to the exploration of Mars. He died in 1916, but the Lowell Observatory is still in use today. The observatory's telescope was later used by Asaph Hall, in 1933, to find the then outermost planet in the solar system, Pluto. Hall was also the astronomer who found the two moons of Mars, Phobos and Deimos, in 1877, before the existence of the Lowell Observatory. </div><div><br /></div><div>We now know the topology of the Martian surface in reasonable detail. The landscape is indeed complex in many areas, and a number of hints point to the existence of rivers and lakes in the early history of Mars, with canyons and valleys in existence which, however, show no hint of artificial creation. Perhaps Schiaparelli got the first glimpses of something that looked a little like his canali, but we have seen no water canals built by some intelligent and logical beings.</div><div><br /></div><div>I think that the events referred to above contributed to the path that lead to the efforts referenced at the beginning of this article. We are still looking for life forms that will confirm that we (that is, all life on Earth) are not alone in the universe. From the past and present data sent back by many of the orbiting Mars satellites, on-the-surface moving rovers, and fixed sensing stations, a life as fantasized above is not very likely. At the moment, though, we still cannot answer the questions: is there now or was there ever any life as we know it on Mars? Perhaps any life as we DON'T know it?</div><div><br /></div><div><br /></div><div><br /></div><div><br /></div><div><br /></div><div><br /></div><div> <div><br /><div><br /><p><br /></p></div></div></div></div>Unknownnoreply@blogger.com0tag:blogger.com,1999:blog-1195286216399793210.post-10347342384527026642020-12-27T14:44:00.015-08:002021-04-01T11:20:35.667-07:00A Great "Get-together"<p> </p><p>One of the rare events in the sky is a conjunction of the two largest planets in our solar system.</p><p>I logged into Slooh.com on December 21 to watch their live presentation as this conjunction was in progress. There was also a link to the International Astronomical Center in Abu Dhabi, U.A.E. The image below originated there; it was shown during the presentation, Saturn at the upper left, Jupiter lower right. </p><p>One day later, the Simon Fraser University's Trottier Observatory did the same thing through its telescope on line, with assistance by the RASC. I also watched that well done presentation via YouTube.</p><p style="text-align: center;"></p><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjdkHpBoxYrSbdexmNf25VODeTOfzYBBPyrBmBn1e_qnZpAc-9m4z3sxXG9hyphenhyphenE6_ugqSI9_ahmjcInWMllR_fh4vJBykMS0v7OynjmMnrtkDsu8e_9OZsCpgWLUk9u5oqX9heoYsE3ty07c/s826/Jupiter_Saturn2.jpg" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="490" data-original-width="826" height="227" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjdkHpBoxYrSbdexmNf25VODeTOfzYBBPyrBmBn1e_qnZpAc-9m4z3sxXG9hyphenhyphenE6_ugqSI9_ahmjcInWMllR_fh4vJBykMS0v7OynjmMnrtkDsu8e_9OZsCpgWLUk9u5oqX9heoYsE3ty07c/w382-h227/Jupiter_Saturn2.jpg" width="382" /></a></div><div class="separator" style="clear: both; text-align: center;">Jupiter/Saturn conjunction (International Astronomical Center)</div><div class="separator" style="clear: both; text-align: center;"><br /></div><div class="separator" style="clear: both; text-align: left;">This conjunction was the result of a particular positioning of Jupiter, Saturn, and Earth in their respective orbits. At the time pictured, the visual separation in the sky of Jupiter and Saturn was about six arc minutes, which is about one fifth of the apparent diameter of our Moon as we see it from Earth. That essentially "united" the two planets into one brighter "star" when looking with our unaided eyes. In reality, Saturn is about 700 million kilometres "behind" Jupiter from Earth's point of view. For perspective, Jupiter is approximately five times Earth's distance from the Sun, Saturn almost twice as far.</div><div class="separator" style="clear: both; text-align: center;"><br /></div><div class="separator" style="clear: both; text-align: left;">The large planets in our solar system orbit the Sun in approximately the same plane; Earth's orbital plane is taken as the reference. As a result, the sun 's annual apparent motion across the sky from Earth appears to be the same from year to year with very small changes over time. This path is called the Ecliptic. The larger planets have orbital planes which are close to the ecliptic, but deviate from it to varying degrees. From our Earth-bound point of view, therefore, for them to appear very close together, such as the Jupiter-Saturn conjunction, happens only now and then. Jupiter can even cover (occult) Saturn, but that is a very rare occurrence. It would require that the centres of Earth, Jupiter, and Saturn be exactly on one specific line. The latest Jupiter-Saturn conjunction came very close to that possibility.</div><div class="separator" style="clear: both; text-align: left;"><br /></div><div class="separator" style="clear: both; text-align: left;">The two planets move quite slowly. Jupiter takes about 3 hours for a distance equal to its own diameter, Saturn is even slower. Both move in the same direction. That means the they will be visible in a pair of binoculars at the same time for a number of days. Standard binoculars have fields of view in the order of 5 to 7 degrees. On January 1, 2021, Saturn and Jupiter are about 2 degrees apart, easily within the same binocular field of view. Unfortunately they are positioned so close to the sun at this time that they will set closer to sunset every day, so following both planets is going to get more difficult. For this purpose, use your binoculars only after the sun sets. Never look at the sun directly through binoculars, or even with your unprotected eyes only; permanent eye damage may be the result!</div><div class="separator" style="clear: both; text-align: left;"><br /></div><div class="separator" style="clear: both; text-align: left;">Covid-19 is forcing us to keep separate for the time being, it was a good thing to see at least one "heavenly" get-together.</div><div class="separator" style="clear: both; text-align: left;"> </div><div class="separator" style="clear: both; text-align: left;"><br /></div><div class="separator" style="clear: both; text-align: left;"><br /></div><p></p>Unknownnoreply@blogger.com0tag:blogger.com,1999:blog-1195286216399793210.post-40391492582458553122020-11-30T15:10:00.015-08:002021-05-16T11:19:29.794-07:00An old Workhorse<div class="separator"></div><p><br /></p><p>Since the invention of the telescope and its use for astronomical purposes, the exploration of the universe has progressed at first slowly, and then much faster. That also included advancement in the performance of telescopes themselves. The two main types of telescopes, refractors and reflectors have been around for about 350 years.</p><p>Among both types of telescopes, I own one that is my particular favourite. It's a 75mm refractor, purchased used in 1964; its true age I don't know. Here is a picture:</p><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhjlvYk3Sv9l7MHUR5uuBPvHYZ6YmKkLdfVLKAGLypaJ5OVgpsj20j7Emz8oPrY0ILBVVp0v0eIK792bkBcN5vvUON8sELjOJMmDJSlKKjBuSgDWIbXkEtN9clHLSG7NwODfcchXJTJZ-Cn/s2048/Polaris+telescope.JPG" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="2048" data-original-width="1536" height="400" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhjlvYk3Sv9l7MHUR5uuBPvHYZ6YmKkLdfVLKAGLypaJ5OVgpsj20j7Emz8oPrY0ILBVVp0v0eIK792bkBcN5vvUON8sELjOJMmDJSlKKjBuSgDWIbXkEtN9clHLSG7NwODfcchXJTJZ-Cn/w300-h400/Polaris+telescope.JPG" width="300" /></a></div><div class="separator" style="clear: both; text-align: center;"><br /></div><div class="separator" style="clear: both; text-align: center;">This 75mm, f16 refractor came with a solid wooden equatorial mount tripod (hand-driven tracking). </div><div class="separator" style="clear: both; text-align: center;">The telescope is now mounted on an used EQ5 tripod, purchased about three years ago. </div><div class="separator" style="clear: both; text-align: center;">Right-ascension-tracking and declination motors are powered by a D-battery power pack (not shown).</div><div class="separator" style="clear: both; text-align: center;"><br /></div><div class="separator" style="clear: both; text-align: left;">The telescope has the brand name "Polaris", and someone told me that it is the European version of the "Unitron" brand which was very popular here in North America in the middle of the last century. It has an achromatic objective - chromatic aberration is almost unnoticeable because of the large f-ratio. The telescope produces beautiful views of the major planets, the moon, and open star clusters, but is just on the borderline of dissolving globular clusters into individual stars (i.e. M 13). It's also pretty good at showing the brighter nebulae (Orion nebula, Dumbbell, etc.) and double stars (Mizar, Alcor, the "double double" Epsilon Lyra when pushed to 130 times magnification power, and much more). It's my preferred telescope for Public Astronomy Nights.</div><div class="separator" style="clear: both; text-align: left;"><br /></div><div class="separator" style="clear: both; text-align: left;">In previous centuries, instruments of this size and performance (3", 4", and somewhat larger telescopes) were used to do serious scientific work. For instance, Johann Heinrich von Mädler and Wilhelm Beer produced a highly accurate atlas of the Moon (in four volumes fro 1834 to 1836). It was used by astronomers for over a century. Mädler and Beer also produced the first reliable Mars maps and were instrumental (pun intended) in assigning Sinus Meridiani as the Prime Meridian on Mars. Photography was not yet available, so all maps were hand-drawn. Here's an example: <span style="text-align: center;"> </span></div><div style="text-align: center;"><br /></div><div style="text-align: center;">A part of the "Mappa Selenographica" by Mädler and Beer.</div><div style="text-align: center;"><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhiG8-DqCF-T5CMZmEl_QVPGBz98l8cx35BhtO_D4MMnFhkVsjrEpuBm8CVoa-Ggc54rDGLNiflXABTFbFsMwhNwoRffp9tJ72PzGV-7UmFaSzIR4eA1Jm7T_o7r_Gc62mqCFKfwceEO2ET/s1334/Maedler+Moon+atlas.jpg" style="clear: right; float: right; margin-bottom: 1em; margin-left: 1em;"> </a></div><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEg5akekpDAe8_BwdX7q2FqezSsmEpahs37mvI9DOrgOXiaDvks6aVTScGgHSVD4IgD7KvMBCbvtkunLDzHbNLtE_KJgwB07fkyzRZZxw0ov4iRWiHX5ndiY_PWDZ-eZuX6K-foodgWWp5Gx/s898/Maedler_Beer+Moon+Atlas+front+bw.jpg" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="898" data-original-width="750" height="400" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEg5akekpDAe8_BwdX7q2FqezSsmEpahs37mvI9DOrgOXiaDvks6aVTScGgHSVD4IgD7KvMBCbvtkunLDzHbNLtE_KJgwB07fkyzRZZxw0ov4iRWiHX5ndiY_PWDZ-eZuX6K-foodgWWp5Gx/w334-h400/Maedler_Beer+Moon+Atlas+front+bw.jpg" width="334" /></a></div><div class="separator" style="clear: both; text-align: center;"><br /></div><div class="separator" style="clear: both; text-align: center;">(from planetologia.elte.hu)</div></div><p>Mädler and Beer were also able to determine the rotation period of Mars to within 1.1 seconds. It is highly admirable that astronomers made such demanding observations with telescopes of really moderate size. Even today, refractors built many years ago are still in use for scientific research. </p><p>Photography through my 75mm (3") telescope is also possible. With today's digital cameras and technology it's much easier to take some good pictures. Below is an image of the southern part of the Moon, taken with a handheld Samsung smartphone. </p><p><br /></p><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjEejggIqvox60PnxUnXu0-xlRl3z0iYKa8zeQ7LxHE7c1uq5Pb_bBJKmBDWjoQ4Gi25g-qXDee9SfUfOH2jA7XmGyVyxvy7A6n8prw6uQdV8fURTOKO9LUnX909wFCk4yudlqUFhEte3eh/s640/Smartphone+Moon+b.jpg" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="397" data-original-width="640" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjEejggIqvox60PnxUnXu0-xlRl3z0iYKa8zeQ7LxHE7c1uq5Pb_bBJKmBDWjoQ4Gi25g-qXDee9SfUfOH2jA7XmGyVyxvy7A6n8prw6uQdV8fURTOKO9LUnX909wFCk4yudlqUFhEte3eh/s320/Smartphone+Moon+b.jpg" width="320" /></a></div><br /><div class="separator" style="clear: both; text-align: left;">Handheld smartphone photography through a telescope held against the telescope's eyepiece is difficult, because precisely aligning the optical axes of the smartphone with that of the telescope is mostly a matter of luck. Smartphone holders which attach to a telescope and position the camera lens of a smartphone precisely in line with the telescope eyepiece are available. </div><div class="separator" style="clear: both; text-align: left;"><br /></div><div class="separator" style="clear: both; text-align: left;">You can see that even old and relatively small telescopes are really useful for getting involved with Astronomy. One additional requirement is a sturdy tripod on which to mount the telescope. It should be included in any telescope purchasing budget. Nothing spoils the performance of telescopes more than a wobbly tripod. <br /></div><div class="separator" style="clear: both; text-align: left;"><br /></div><div class="separator" style="clear: both; text-align: left;">Old workhorses indeed.</div><div class="separator" style="clear: both; text-align: left;"><br /></div><div class="separator" style="clear: both; text-align: left;"><br /></div><div class="separator" style="clear: both; text-align: left;"><br /></div><div class="separator" style="clear: both; text-align: left;"><br /></div><br /><p style="text-align: center;"><br /></p><p><br /></p><p><br /></p><p><br /></p><p><br /></p>Unknownnoreply@blogger.com1tag:blogger.com,1999:blog-1195286216399793210.post-3229149767897860522020-10-03T20:53:00.012-07:002020-10-06T15:05:31.399-07:00An old Standby<p></p><div class="separator" style="clear: both; text-align: center;"></div><div class="separator" style="clear: both; text-align: center;"></div><div class="separator" style="clear: both; text-align: center;"></div><div class="separator" style="clear: both; text-align: center;"></div><div class="separator" style="clear: both; text-align: left;"> </div><div class="separator" style="clear: both; text-align: left;">In these days of Covid-19, getting together with others to have a look at the night sky is an exercise of don'ts: don't get too close to each other, don't touch or look through the telescope, don't come without a mask, etc. On-line meetings are substituting for the in-person ones. My wife and I are practicing voluntary self-isolation (we are old enough to make this necessary). That means that I'm confined to observing the sky from our home. </div><div class="separator" style="clear: both; text-align: left;"> </div><div class="separator" style="clear: both; text-align: left;">We live in a highly light-polluted and horizon-limited area. The smoke from the wildfires in the U.S. has added to the lack of visibility of the stars. There were just a couple of acceptable evenings which led me to look for one of my favorite objects in the sky: The Whirlpool Galaxy not far from the end of the Big Dipper's handle. In a dark sky, M51 can be seen in larger binoculars as a small, diffuse patch of light.<br /></div><div class="separator" style="clear: both; text-align: left;"><br /></div><div class="separator" style="clear: both; text-align: left;">I used my 15x50 Canon stabilized binoculars to try and see it. I did not detect it at all. The gray sky here made it an impossibility. In earlier years M51 was easy to see from our house; high-rises, new and under construction, now limit our horizon and add much light pollution.</div><div class="separator" style="clear: both; text-align: left;"><br /></div><div class="separator" style="clear: both; text-align: left;">I decided to get my "M51 fix" by posting an image I took a couple of years ago by connecting my computer to Slooh.com to use one of their remotely accessible telescopes and take a picture; below is the result:<br /></div><div class="separator" style="clear: both; text-align: center;"> <a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEisdbixpRs-VbPCxoAD2z7zQ3jBtt4yA9V6aKH49-nQjavMjYcFFl3kx9_nbWkazAWr8Ax-OvoU_axKLoVSmgPcF1abbJ76_cG73id5PyjzBhKx0jO3-7NuHcDUmKcLTqvxSkLF4YNnLa3o/s1345/M+51.jpg" style="margin-left: 1em; margin-right: 1em;"> <br /></a></div><div class="separator" style="clear: both; text-align: center;"></div><div class="separator" style="clear: both; text-align: center;"></div><div class="separator" style="clear: both; text-align: center;"><img border="0" data-original-height="1345" data-original-width="1345" height="400" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEisdbixpRs-VbPCxoAD2z7zQ3jBtt4yA9V6aKH49-nQjavMjYcFFl3kx9_nbWkazAWr8Ax-OvoU_axKLoVSmgPcF1abbJ76_cG73id5PyjzBhKx0jO3-7NuHcDUmKcLTqvxSkLF4YNnLa3o/w459-h400/M+51.jpg" width="459" /></div><br /><div style="text-align: center;"> Messier 51<span style="text-align: left;"> </span></div><div style="text-align: center;"><span style="text-align: left;">Image taken through the wide-field, 17 inch remote-control Slooh.com telescope located at the Institute of Astrophysics of the Canary Islands. </span></div><div style="text-align: center;"><span style="text-align: left;"><br /></span></div><div style="text-align: center;"><span style="text-align: left;"><br /></span></div><div style="text-align: center;"><span style="text-align: left;"> Some history (from Wikipedia):</span><i style="text-align: left;"></i></div><p><span style="font-size: medium;">"What later became known as the Whirlpool Galaxy was discovered on October 13, 1773, by Charles Messier while hunting for objects that could confuse comet hunters, and was designated in Messier's catalogue as M51. Its companion galaxy, NGC 5195, was discovered in 1781 by Pierre Méchain, although it was not known whether it was interacting or merely another galaxy passing at a distance. In 1845, William Parsons, 3rd Earl of Rosse, employing a 72-inch (1.8 m) reflecting telescope at Birr Castle, Ireland, found that the Whirlpool possessed a spiral structure, the first "nebula" to be known to have one. These "spiral nebulae" were not recognized as galaxies until Edwin Hubble was able to observe Cepheid variables in some of these spiral nebulae, which provided evidence that they were so far away that they must be entirely separate galaxies even though they are seen close together. The advent of radio astronomy and subsequent radio images of M51 unequivocally demonstrated that the Whirlpool and its companion galaxy are indeed interacting." </span></p><p style="text-align: center;"><i></i></p><p style="text-align: center;"><i></i></p><p style="text-align: center;"><img alt="" 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" /></p><p style="text-align: left;"><span style="font-family: inherit;">There
are still some uncertainties regarding M 51. For instance, the distance
of it is variously quoted as 31 million light years (NASA), Wikipedia
says about 23 million, universetoday.com states 19 to 27 million light
years. A location chart is shown above. A dark sky will allow for M 51
to be seen in 10x50 binoculars as a faint patch of light. An 8" (200mm)
telescope will begin to show its spiral structure.</span> <i><br /></i></p><p style="text-align: left;"><span style="font-size: small;">Messier 51 is circumpolar, so it is accessible for most of the year. At this time of year, the Big Dipper skirts the northern horizon through the night. M51 is therefore moves along above the northern horizon as well. Give it a try<i> </i>under a dark sky anyway. Its position will improve as we progress through winter and into next year.</span><i><br /></i></p><p><i><br /></i></p>Unknownnoreply@blogger.com0tag:blogger.com,1999:blog-1195286216399793210.post-12548057220071332212020-08-07T12:04:00.022-07:002020-08-11T12:23:12.993-07:00At last, a naked-eye comet<div class="separator"><div style="margin-left: 1em; margin-right: 1em;"><div><br /></div></div><div style="margin-left: 1em; margin-right: 1em; text-align: justify;">After a fairly lengthy time of "comet starvation" we finally had an appearance of a comet which, while not super-bright, was visible to the naked eye. Comet Hale-Bopp in 1997 was the last one to be so visible. Using binoculars brought out a pretty impressive view of this "new" comet (NEOWISE C/2020 F3), even in the light-polluted sky in our part of the city. Without the coved-19 pandemic in progress, the RASC would have held many public astronomy meetings; now this can only be approximated virtually (i.e. Zoom, and similar applications).</div><div style="margin-left: 1em; margin-right: 1em;"><br /></div><div style="margin-left: 1em; margin-right: 1em; text-align: justify;">NEOWISE C/2020 F3 was discovered on March 27, 2020 by NASA's "<b>W</b>ide-field <b>I</b>nfrared <b>S</b>urvey <b>E</b>xplorer" space telescope, which has been in orbit for about 11 years. You can see the source of the comet's name. This is a very productive telescope, which has discovered thousands of astronomical objects. Look up details in WIKIPEDIA under its name. </div><div style="margin-left: 1em; margin-right: 1em;"><br /></div><div style="margin-left: 1em; margin-right: 1em; text-align: justify;">At the time of discovery Neowise was a faint blob of magnitude 18, at twice the Earth's distance away from the sun. From position measurements made of Neowise C/2020 F3's orbital positions as it moved towards the Sun, a 4,400 year long orbit was calculated. By now, Neowise has been moving away from the Sun for some time, and is well past its closest approach to Earth on July 22. That means that its brightness is diminishing. The close approach to the Sun resulted in a change in the comet's orbital shape. The orbit is now longer and the comet has been recalculated to return in about 6700 years, or so (I won't wait for it).</div><br /><div class="separator" style="clear: both;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEj0KHYNeVZxDKiBqmDCDGX1Arol2Nig3VHCc_xOybhHVlW5kMStQf1RMpzDxiqyVVnDm7LS7rG_TkNWp33d3xNsRD-dGs8ifV-GUfL0JgsbOAkLvrDUpp9JHDTS3vUSpFm5tr1oMua3LGHt/s1200/NeowiseJuly13_2020HiCenh.jpg" style="display: block; padding: 1em 0px; text-align: center;"><img border="0" data-original-height="782" data-original-width="1200" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEj0KHYNeVZxDKiBqmDCDGX1Arol2Nig3VHCc_xOybhHVlW5kMStQf1RMpzDxiqyVVnDm7LS7rG_TkNWp33d3xNsRD-dGs8ifV-GUfL0JgsbOAkLvrDUpp9JHDTS3vUSpFm5tr1oMua3LGHt/s640/NeowiseJuly13_2020HiCenh.jpg" width="640" /></a></div><div style="margin-left: 1em; margin-right: 1em; text-align: center;">Comet Neowise C2020 F3</div><div style="margin-left: 1em; margin-right: 1em; text-align: center;"><span style="text-align: left;"><br /></span></div><div style="margin-left: 1em; margin-right: 1em; text-align: justify;"><span style="text-align: left;">This picture was taken on July 19, around 10:30 PDT with a Canon 60Da camera from our lawn next to the house. It's a 10-second exposure (f8, ISO 800). A slightly enhanced image, it is meant to show the comet better from our severely light-polluted area. It was easy to see with the naked eye. </span></div><div style="margin-left: 1em; margin-right: 1em; text-align: left;"><br /></div><div style="margin-left: 1em; margin-right: 1em; text-align: justify;">As the comet gets fainter, more and more telescope power will be needed to view it directly; photography, and the Hubble space telescope will be able to follow it for a longer time. By the third of August, the comet had faded to about magnitude 7, it was a faint hazy patch in my 10x50 binoculars, and I could not discern a tail. It was definitely no longer a naked-eye object. The Moon was almost full, and, in addition, the sky was somewhat hazy. Added to the light pollution in our area, this made viewing the comet less than ideal. </div><div style="margin-left: 1em; margin-right: 1em; text-align: justify;"> </div><div style="margin-left: 1em; margin-right: 1em; text-align: justify;">Under similar conditions, Neowise was still visible in my 15x50 Canon stabilized binoculars in the evening (around 11pm PDT) of Aug. 9, between stars 70Virginis and 71Virginis. Directly looking at it showed a very faint, fuzzy, barely noticeable patch. Averted vision made it more readily perceived. The difficulty seeing it made for more fun to search for and trying to find it. Neowises's apparent motion is now relatively small, due to the relationship of the Earth's and the comet's respective orbits. It's like we were passed by a train, and we can see it down the track, getting smaller and smaller, but not moving sideways much.<br /></div><div style="margin-left: 1em; margin-right: 1em; text-align: left;"><br /></div><div style="margin-left: 1em; margin-right: 1em; text-align: left;"><br /></div><div style="margin-left: 1em; margin-right: 1em; text-align: left;"><br /></div></div>Unknownnoreply@blogger.com0tag:blogger.com,1999:blog-1195286216399793210.post-87809039515217753682020-06-28T20:38:00.023-07:002021-05-08T17:10:29.086-07:00Is the sun getting more active?<div class="separator"><div style="margin-left: 1em; margin-right: 1em;"><br /></div><div style="margin-left: 1em; margin-right: 1em;"><div class="separator" style="clear: both; text-align: center;"><br /></div><div class="separator" style="clear: both; text-align: center;"><br /></div><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgwzt_-Wh3z7jEl_kI2uCqje_UG5gtyF2OIVoVgvCD6Za_XwPDP5VQ2eHtP9lhK0TQmG_2s96CY1pP9tTKBfsTY1ef03Zp-k0GtjmoC42pdGRvKEs3clawhX5Zo8cP-yJxCNgJbaUy6va7G/s2405/Lunt.jpg" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="2405" data-original-width="1821" height="320" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgwzt_-Wh3z7jEl_kI2uCqje_UG5gtyF2OIVoVgvCD6Za_XwPDP5VQ2eHtP9lhK0TQmG_2s96CY1pP9tTKBfsTY1ef03Zp-k0GtjmoC42pdGRvKEs3clawhX5Zo8cP-yJxCNgJbaUy6va7G/s320/Lunt.jpg" /></a></div><div class="separator" style="clear: both; text-align: center;">Lunt H-alpha telescope</div><div class="separator" style="clear: both; text-align: center;"><span style="text-align: left;">(Click on picture for a larger image)</span></div><div class="separator" style="clear: both; text-align: center;"><span style="text-align: left;"><br /></span></div></div></div><div>Recently (Jun 28), I set up my Lunt solar-observations-only telescope (above - it contains the proper Hydrogen-alpha light filters to cut the sunlight to the correct, safe level). I was hoping to see some activity. In the last couple of years there has been very little of that. We may just have gone through a minimum of the eleven year sun cycle. The state of the solar cycle is determined by solar observatories world-wide, counting the number of sun spots over the years.</div><div><br /></div><div>Looking through my solar telescope, the sun did show a number of prominences which had also been absent for a lengthy period. I did not see any sunspots, though. There were a few dark streaks; these are prominences which we see "from above". They are just like the ones we see at the sun's edge, but they originate on the surface away from the edge. They look darker because, as they move away from the surface, they cool down and therefore emit a little less light. This is obvious when looking at prominences at the edge of the sun, which are also fainter than the sun's surface. Here is a picture I took of the sun some years ago; it is similar to what I saw on Jun 28.</div><div><br /></div><div><br /></div><div style="text-align: center;"><br /></div><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjeIrdTbBpBra6xJTbdK1JR8fqTd7NSlCZQmqMesM-0M15Nr6DivcLAPiiRxFU5f08US2GmS6Mt5_CdCygdcruskU1h2LQdKUzLgmJTOJq_9CxaJzmpsCAW8VvTHhZcj3N09a5fPU8dcUJq/s632/SUN2.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="632" data-original-width="600" height="320" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjeIrdTbBpBra6xJTbdK1JR8fqTd7NSlCZQmqMesM-0M15Nr6DivcLAPiiRxFU5f08US2GmS6Mt5_CdCygdcruskU1h2LQdKUzLgmJTOJq_9CxaJzmpsCAW8VvTHhZcj3N09a5fPU8dcUJq/s320/SUN2.png" /></a></div><br /><div style="text-align: center;"><br /></div><div style="text-align: center;"><br /></div><div class="separator" style="clear: both; text-align: center;">The Sun in H-alpha light</div><div class="separator" style="clear: both; text-align: center;"><span style="text-align: left;">(Click on picture for a larger image)</span></div><div><div><br /></div><div>The diameter of the sun is 104 times that of earth. If you mentally string 104 earths across the sun and compare the size of the prominences in the picture, it becomes obvious that the prominences easily exceed the size of the earth. The hydrogen gas and plasma of which the prominences are composed follow magnetic lines of force. Magnetism and its constant changes are a major part of the sun's activity. I think of the sun as a magnetized cauldron. Solar material is constantly being stirred and ejected and, if the force of the ejections are strong enough, this material will disperse into space. The earth is often in the path of such material; northern and southern lights are one effect. There are also interferences with wireless communications and power grids. Astronauts in space have to be protected as much as possible from this powerful radiation.</div><div><br /></div><div>I think that we are finally entering the next solar cycle. The cycle should actually have a 22 year length. When sunspots appear as a pair, for instance, the leading spot (in the direction of the sun's rotation) could be magnetic north polarity. The following spot in the pair then has the south polarity. After the next minimum occurs, sunspots in the next eleven year period reverse their paired relationship polarity (south leading, north following). Nobody has a good explanation for the cause this characteristic. The next eleven-year period after the preceding two then exhibits sunspot pairs with leading north and following south polarities again. Many other solar phenomena, such as solar flares, coronal loops, solar radiation, etc. are all synchronized in some way with these magnetic changes. There are many reasonable theories, but we have limited factual knowledge about what happens inside the sun. The eleven-year cycle has been observed for many centuries (the last 400 years are quite well documented).</div><div><br /></div><div>Over the last 10 years, NASA's Solar Dynamics Observatory, in a geostationary orbit around earth, has collected around 425 million gigabytes of data (one image every three quarters of a second, according to NASA). This effort has contributed much to an increased knowledge of how the sun interacts with earth, and the solar system.</div><div><br /></div><div><font face="inherit">Here is an excerpt from Wikipedia:</font></div><div><br /></div><div><p style="color: #1a1a1a; font-stretch: normal; line-height: normal; margin: 0px;"><span style="-webkit-font-kerning: none;"><font face="inherit">Solar cycle</font></span></p>
<p style="color: #1a1a1a; font-stretch: normal; line-height: normal; margin: 0px;"><span style="-webkit-font-kerning: none; font-kerning: none;"><font face="inherit">The solar cycle or solar magnetic activity cycle is a nearly periodic 11-year change in the Sun's activity measured in terms of variations in the number of observed sunspots on the solar surface. Sunspots have been observed since the early 17th century and the sunspot time series is the longest, continuously observed time series of any natural phenomenon. Accompanying the 11 year quasi-periodicity in sunspots, the large-scale dipolar magnetic field component of the Sun also flips every 11 years, however, the peak in the dipolar field lags the peak in the sunspot number, with the former occurring at the minimum between two cycles. Levels of solar radiation and ejection of solar material, the number and size of sunspots, solar flares, and coronal loops all exhibit a synchronized fluctuation, from active to quiet to active again, with a period of 11 years. This cycle has been observed for centuries by changes in the Sun's appearance and by terrestrial phenomena such as auroras.<a href="https://en.wikipedia.org/wiki/Solar_cycle"><span style="-webkit-font-kerning: none; color: #00167b; font-stretch: normal; line-height: normal;">Wikipedia</span></a></font></span></p></div><div><br /></div><div>If you have appropriate equipment - proper solar filters for your general-purpose telescopes - or if you follow the rules of projecting the sun onto a screen, you may want to check for the visible state of sunspots over the next years. WARNING: <u>Never look at the sun directly without correct filters through telescopes, binoculars, or even the naked eye. Damage to the eye, possibly including blindness, can be a result, either instantly or as vision problems later in life. </u><div><div><div><br /></div><div>Solar observations and photography are a great way to do astronomy - you can have your regular sleep hours; no need to stay awake for much of the night. There is much information about the sun (and its effects on the earth) in the RASC's Observer's Handbook (starting on page 184 of the 2020 edition). Try it, you might like it.</div><div style="text-decoration: underline;"><p style="caret-color: rgb(32, 33, 34); color: #202122; font-family: sans-serif; font-size: 14px; margin: 0.5em 0px;"><b></b></p></div></div></div></div></div>Unknownnoreply@blogger.com0tag:blogger.com,1999:blog-1195286216399793210.post-60776651461036670482020-03-31T20:16:00.000-07:002020-04-09T15:00:44.265-07:00A close, unheralded neighbour<br />
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<span style="font-family: inherit;">Not very far in the night sky from the Andromeda Galaxy (our sister galaxy) you can find M33. It is about 2.9 million light years distant from our galaxy, but not often a target at public astronomy nights (i.e. SFU's Starry Nights). Under the best observing conditions - no light pollution and a really dark sky - this galaxy, the third largest in our local group, is visible to keen, dark adapted eyes without optical help. A pair of binoculars is a great help because M33 is a diffuse object - the amount of light it produces is distributed over an area about four times the apparent area of the Moon in the sky (see pages 317 and 333 in the Royal Astronomical Society's Observers' Handbook for the year 2020). You can understand that the sky conditions required for its visibility are unlikely to be met in a light polluted city night sky. Below is a photo I took via remote access to a Slooh.com telescope</span><br />
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<span style="font-family: inherit;">Some on-line star applications call it the Pinwheel Galaxy. That is not generally accepted, because the name is normally given to M101, a galaxy in the constellation of the "Big Dipper", about 21 million light years away.</span><br />
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgBoYhow1lG6ay35Vg09dMYuBVswRyVymOKaRubAVlBdD-s-iK61EspQfJhbvJjZbIyJDqaw1I_AJ7btpkp5inz4kBJPHq1vZRNeAULY-1zAClPUob4l6_B1zSzoNZHDYFXafPSqcjjj9S8/s1600/M33+SLOOH.COM.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="1209" data-original-width="1600" height="241" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgBoYhow1lG6ay35Vg09dMYuBVswRyVymOKaRubAVlBdD-s-iK61EspQfJhbvJjZbIyJDqaw1I_AJ7btpkp5inz4kBJPHq1vZRNeAULY-1zAClPUob4l6_B1zSzoNZHDYFXafPSqcjjj9S8/s320/M33+SLOOH.COM.png" width="320" /></a></div>
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M33</div>
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<span style="font-family: inherit;">M33 seems to be a satellite galaxy of the Andromeda galaxy (M31). It may perhaps be on a rebound into that galaxy. The velocities, proximity, and indications of gravitational interactions make that a possibility. A very detailed entry regarding M33 and M31 and the interactions between them can be found in Wikipedia by searching for the "Triangulum Galaxy".</span></div>
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<span style="font-family: inherit;">Here's an excerpt from Wikipedia regarding the relationships between these two galaxies:</span><br />
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgQZEuVpgJgL1Umbf5ys7RhumLnh6U0j8x3wu1DCdPwhgVhaXaqvEHYcVgropMSjVBAWjhak3v_MJ2RHDjPyea112Ncfk07_V9NPlsi2-GJyyVNeCZcluX_HmUPEeTJA35bdJ8CqZQuREDp/s1600/M33+and+M31+interaction.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="524" data-original-width="863" height="241" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgQZEuVpgJgL1Umbf5ys7RhumLnh6U0j8x3wu1DCdPwhgVhaXaqvEHYcVgropMSjVBAWjhak3v_MJ2RHDjPyea112Ncfk07_V9NPlsi2-GJyyVNeCZcluX_HmUPEeTJA35bdJ8CqZQuREDp/s400/M33+and+M31+interaction.jpg" width="400" /></a></div>
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(illustration from Wikipedia)</div>
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<span style="font-family: inherit;"><span style="background-color: #f8f9fa; color: #222222; text-align: left;">Triangulum on the collision paths of Milky Way and the Andromeda Galaxy. </span><span style="color: #222222; text-align: left;">M33 appears to be linked to M31 by several streams of</span><span style="color: #222222; text-align: left;"> neutral</span> hydrogen<span style="color: #222222; text-align: left;"> </span><span style="color: #222222; text-align: left;">and stars,</span><span style="color: #222222; text-align: left;"> </span><span style="color: #222222; text-align: left;">which suggests that a past interaction between these two galaxies took place from 2 to 8 billion years ago, </span><span style="color: #222222; text-align: left;">and a more violent encounter will occur 2.5 billion years in the future. </span></span></div>
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<span style="font-family: inherit; text-align: left;"><span style="background-color: white; color: #222222;">The fate of M33 was sketchy in 2009 beyond seeming to be linked to its larger neighbor M31. Suggested scenarios include being torn apart and absorbed by the greater companion, fuelling the latter with </span><a href="https://en.wikipedia.org/wiki/Hydrogen" style="background-image: none; text-decoration: none;" title="Hydrogen"><span style="color: black;">hydrogen</span></a><span style="background-color: white; color: #222222;"> to form new stars; eventually exhausting all of its gas, and thus the ability to form new stars;</span><sup class="reference" id="cite_ref-Putman2009_53-0" style="color: #222222; line-height: 1; unicode-bidi: isolate; white-space: nowrap;"> </sup><span style="background-color: white; color: #222222;">or participating in the </span><span style="color: black;">collision between the Milky Way and M31</span><span style="background-color: white; color: #222222;">, likely ending up orbiting the merger product and fusing with it much later. Two other possibilities are a collision with the Milky Way before the Andromeda Galaxy arrives or an ejection out of the Local Group.</span><span style="background-color: white; color: #222222;"> Astrometric data from </span><span style="color: black;">Gaia</span><span style="background-color: white; color: #222222;"> appears to rule out the possibility that M33 and M31 are in orbit. If correct, M33 is on its first infall proper into the Andromeda Galaxy (M31).</span></span></div>
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<span style="color: #222222; font-family: inherit; text-align: left;">Here is an an excerpt from a (highly recommended) Stellarium Mobile planetarium map of the sky showing the relative positions of the Triangulum and Andromeda galaxies.</span></div>
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEj3Zj7ECtFpBbI1qLfdaOJUMh4BfnNfMXp-Lqx2xjNUUEVRvLsFvh0bABwy1cAZJn8hmTgn5tf0ujYG314RcuF_eT-Tebg9q9ybOHn-uTFKwWGZEXZcaWctm-90pLdtznrMbpx-mpgWD3hu/s1600/Triangulum%2528M+33%2529+galaxy+9s.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="273" data-original-width="432" height="202" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEj3Zj7ECtFpBbI1qLfdaOJUMh4BfnNfMXp-Lqx2xjNUUEVRvLsFvh0bABwy1cAZJn8hmTgn5tf0ujYG314RcuF_eT-Tebg9q9ybOHn-uTFKwWGZEXZcaWctm-90pLdtznrMbpx-mpgWD3hu/s320/Triangulum%2528M+33%2529+galaxy+9s.jpg" width="320" /></a></div>
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<span style="color: #222222; font-family: sans-serif; text-align: left;">Stellarium Mobile app star map.</span></div>
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<span style="color: #222222; font-family: inherit;">The above excerpt shows that several different scientific opinions are stated about M33. It's obviously an object about which a number of uncertainties exit. And yet, it is less likely to be shown as an object of interest at public astronomy nights (placed best in the sky in the autumn of the year). The reason is likely because public astronomy nights are usually set in or near a city, with light pollution making M33 hard to see. Usually, the planets, the Moon, and even the Andromeda Galaxy are the showpieces.</span><br />
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Unknownnoreply@blogger.com0tag:blogger.com,1999:blog-1195286216399793210.post-61926332064184976542020-02-01T17:02:00.001-08:002020-11-06T12:06:21.921-08:00Are the weather gods mad at us? <br />
It's been raining here for all of January, one day of no rain. February was not much better. From my astronomical point of view, it was the pits. I haven't taken part in one of SFU's Starry Night events since well before Christmas; Since October, most of the time the event had to be cancelled, mostly because of bad weather.<br />
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEi0xqkFgp_RwNTOBTSymHv07QbyILhOYu0kpVZHjpLoCh-PkG1pWgT29LBL85c_cQHftA-iv5QB3UQr4Soww1XjwtjCDfzi8FJCfk5RkQHkZGRXtTZSeSMONhx2PR_xqugzU1gc3RvSI47A/s1600/Moon%252C+Mars%252C+Venus+Jan31+-2016.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="899" data-original-width="1600" height="179" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEi0xqkFgp_RwNTOBTSymHv07QbyILhOYu0kpVZHjpLoCh-PkG1pWgT29LBL85c_cQHftA-iv5QB3UQr4Soww1XjwtjCDfzi8FJCfk5RkQHkZGRXtTZSeSMONhx2PR_xqugzU1gc3RvSI47A/s320/Moon%252C+Mars%252C+Venus+Jan31+-2016.jpg" width="320" /></a></div>
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Every now-and-then, there was a break in the clouds, allowing for a short glimpse of the evening and night sky. A few nights ago, the Moon and Venus appeared very close to each other. The picture shows a similar situation exactly 4 years ago today. At that time, Mars was also near the Moon, but not this time. I looked at the recent event a couple of nights ago, through some holes in the clouds, but before I could get my camera ready, the Moon and Venus were covered up again. Let me emphasize that the apparent closeness of these two planets to the Moon is strictly a perspective effect, caused by the particular position of our Earth in its orbit around the Sun. The actual distances are in the millions of kilometres.<br />
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Another way to do some "armchair" astronomy is to take some pictures of the sky, preferably as seen from other latitudes. To this end I use one of the remote-controlled telescopes at Slooh.com, with locations on the Canary Islands and Chile. Here's a black-and-white image of the Tarantula Nebula.<br />
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEh2FC0eedL5dx06BcT1VY52IZB98tqOAGjYt50Gk8fyZfT-2Vr6PEZo1fGVXekdRajB61LdnfF7m2w-FVTime8vM_aATdUe6Q5LVMVHCRzqrMto1TSpbY2nOQ6Siic2vm8bcFoylf_z_jv5/s1600/Tarantula+Nebula.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="890" data-original-width="1336" height="213" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEh2FC0eedL5dx06BcT1VY52IZB98tqOAGjYt50Gk8fyZfT-2Vr6PEZo1fGVXekdRajB61LdnfF7m2w-FVTime8vM_aATdUe6Q5LVMVHCRzqrMto1TSpbY2nOQ6Siic2vm8bcFoylf_z_jv5/s320/Tarantula+Nebula.jpg" width="320" /></a></div>
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The Tarantula Nebula</div>
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<span style="background-color: white; color: #222222; font-family: sans-serif; font-size: 14px;">I quote an excerpt from Wikipedia:</span><br />
<span style="background-color: white; color: #222222; font-family: sans-serif; font-size: 14px;"><br /></span><span style="background-color: white; font-family: sans-serif; font-size: 14px;">"The Tarantula Nebula has an </span><span style="color: black;">apparent magnitude</span><span style="background-color: white;"><span style="font-family: sans-serif;"><span style="caret-color: rgb(34, 34, 34); font-size: 14px;"> </span></span><span style="font-family: sans-serif;"><span style="font-size: 14px;">of 8. Considering its distance of about 49 kiloparsec </span></span></span><span style="background-color: white; font-family: sans-serif; font-size: 14px;">(160,000 </span><span style="color: black;"><a href="https://en.wikipedia.org/wiki/Light-year" style="background-image: none; font-family: sans-serif; font-size: 14px; text-decoration: none;" title="Light-year">l</a>ight-years</span><span style="background-color: white; font-family: sans-serif; font-size: 14px;">)</span><span style="background-color: white; font-family: sans-serif; font-size: 14px;">, this is an extremely luminous non-stellar object. Its </span>luminosity<span style="background-color: white; font-family: sans-serif; font-size: 14px;"> is so great that if it were as close to </span>Earth<span style="background-color: white; font-family: sans-serif; font-size: 14px;"> as the </span>Orion Nebula<span style="background-color: white; font-family: sans-serif; font-size: 14px;">, the Tarantula Nebula would cast visible shadows.</span><span style="background-color: white; font-family: sans-serif; font-size: 14px;"> In fact it is the most active </span>starburst region<span style="background-color: white; font-family: sans-serif; font-size: 14px;"> known in the </span>Local Group<span style="background-color: white; font-family: sans-serif; font-size: 14px;"> of galaxies. It is also one of the </span>largest H II regions<span style="background-color: white; font-family: sans-serif; font-size: 14px;"> in the </span>Local Group<span style="background-color: white; font-family: sans-serif; font-size: 14px;"> with an estimated diameter around 200 to 570 </span>pc<span style="background-color: white; font-family: sans-serif; font-size: 14px;">,</span><span style="background-color: white; font-family: sans-serif; font-size: 14px;"> and also because of its very large size, it is sometimes described as the largest although other H II regions such as </span>NGC 604<span style="background-color: white; font-family: sans-serif; font-size: 14px;"> which is in the </span>Triangulum Galaxy<span style="background-color: white; font-family: sans-serif; font-size: 14px;"> could be larger.</span><span style="background-color: white; font-family: sans-serif; font-size: 14px;"> "</span><br />
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<span style="background-color: white; font-family: sans-serif; font-size: 14px;">One parsec is the distance at which the radius of the Earth's orbit around the sun is seen at an angle of one </span><span style="font-family: sans-serif;"><span style="caret-color: rgb(34, 34, 34); font-size: 14px;">arc second, that distance is 3.26 light years. That means that even from the nearest star (4 light years away) the Earths orbital radius has an angle of less than one arc second. </span></span><br />
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<span style="font-family: sans-serif;"><span style="caret-color: rgb(34, 34, 34); font-size: 14px;">Let the weather gods do their thing - if you have a roof over your head, and a safe place to live, you can evade them anyway.</span></span><br />
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Unknownnoreply@blogger.com0tag:blogger.com,1999:blog-1195286216399793210.post-75678848520121825312019-11-28T21:40:00.003-08:002019-12-09T21:11:00.184-08:00My start in Astronomy<br />
This article begins with a part of my life which is germane to this story. I was born in Berlin about three months before the start of World War II. My father was conscripted into the war effort; military duty was mandatory. As a result, I saw very little of him and I have only sporadic memories of the occasions when he was on furlough. I remember the end of the war more clearly - being subject to the evacuations and bombings tend to sharpens one's mind. My father was taken prisoner of war in Russia at that time and I did not see him for about two years. When he came home in 1947, he was a very sick man and went straight into the hospital. I visited him many times during his stay there. On one of these visits he showed me a book he was reading. It was the German translation of a book about the Moon and the craters on it. The English title is: The Moon, Considered as a Planet, a World, and a Satellite. The authors are James Nasmyth and James Carpenter. The book was published in 1876.<br />
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At that time, the origin of lunar craters was still a subject of contention: either by volcanic activity or by meteor impacts (this question was finally resolved in the 1960's and, except for a few volcanic features, impact is the answer). My father showed me a picture of a lunar crater in that book; the picture actually showed a plaster of Paris model, made by the authors to show the lunar craters' volcanic nature. That picture has been in my memory ever since, as well as the title of the book, and its authors. The picture (see below) was the start of my interest in Astronomy; I don't know why it made such an impression on me. The book is actually my last memory of my father - he died a couple of months later. Nowadays, antibiotics would have saved his life, but they were non-existent at that time, especially not in war-torn Berlin.<br />
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I subscribe to the Sky and Telescope magazine. The December 2019 issue includes an article by Klaus Brasch, professor at California State University in San Bernadino. The article is entitled "Just Over a Century Ago"; in it, the book about the Moon I described above is mentioned, including the picture of the lunar crater that caught my original attention in 1947. I looked up Nasmyth and Carpenter on the internet, and immediately found a link to lynx-open-ed.org, which showed a dissertation on the two authors and their firm conviction of the volcanic origin of lunar craters, in the German version of their book. The book's title page and the lunar crater picture are shown below. Published in 1876, the original information in the translated text was already about 70 years old by the time I saw it.<br />
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Still an active member of the Vancouver centre of the RASC, involved in public astronomy days, using my telescopes, I never get tired of what the sky has to offer. Our current technologies have made astronomy into a science with connections to most other sciences, witness astrophysics, astrobiology, astrochemistry, quantum physics, computer science, geography and geoscience, space travel, etc. These connections often lead to interesting conversations with some of the people attending our star parties.<br />
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Professor Brasch's article certainly invoked a lot of nostalgia and makes me recount the many years I've enjoyed this hobby called Astronomy.<br />
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The Title Page of the Book</div>
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The picture of the simulated lunar crater which started my interest in Astronomy</div>
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjUhE8442XexlL2IEPt-vgCgKXTygdmj4Q7ks-_xPKLRYpZ3v1sDlgq8v7oRyd9WkzwW6a_BY0ilJ5yyWEViwxu6rMyIfxYyc3qxb8QgsfmQgi9VLOVPjLBlBZnPUKRNRFD6tKTJstS1929/s1600/Der+Mond2.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="750" data-original-width="1334" height="220" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjUhE8442XexlL2IEPt-vgCgKXTygdmj4Q7ks-_xPKLRYpZ3v1sDlgq8v7oRyd9WkzwW6a_BY0ilJ5yyWEViwxu6rMyIfxYyc3qxb8QgsfmQgi9VLOVPjLBlBZnPUKRNRFD6tKTJstS1929/s400/Der+Mond2.jpg" width="400" /></a></div>
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Unknownnoreply@blogger.com2tag:blogger.com,1999:blog-1195286216399793210.post-73000314001474749172019-08-30T17:39:00.000-07:002019-09-11T09:04:53.909-07:00Incoming comet<div class="separator" style="clear: both; text-align: center;">
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A couple of weeks ago, I took a picture through the remote Slooh.com telescope of a comet coming in from the outer reaches of the solar system, an area called the Oort cloud. This is a theoretical cloud, thought to extend from about 2,000 AU (Astronomical unit - the distance Earth to Sun - about 150,000,000 km) to 200,000 AU. It supposedly contains icy planetesimals (Wikipedia contains some detailed information).<br />
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Because its outer reaches are so far from the Sun, the planetesimals can be affected by the gravitational influences of other objects in our galaxy, and occasionally my be deflected towards our Sun. There is a reasonable chance that this comet is one such object. Here's the picture:<br />
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiHhkEg5bXf8brR00ta1fe2FfYbZVpir2JzYK1AK6Xtw1t-zeDUMAyhXOyiTrZWxH0wmgYZXCcj0NaFeyjHTBMQLl-boQxh9e9FgJW9TSnq4m2xIVd4sMqJxoAM8CZN7Pj9FKUh5PuxSwLn/s1600/cometc-2018w2africano_20190813_040052_1_ghpfjf_lrgb.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="1018" data-original-width="1018" height="640" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiHhkEg5bXf8brR00ta1fe2FfYbZVpir2JzYK1AK6Xtw1t-zeDUMAyhXOyiTrZWxH0wmgYZXCcj0NaFeyjHTBMQLl-boQxh9e9FgJW9TSnq4m2xIVd4sMqJxoAM8CZN7Pj9FKUh5PuxSwLn/s640/cometc-2018w2africano_20190813_040052_1_ghpfjf_lrgb.jpg" width="640" /></a></div>
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The name of the comet is Comet C 2018 W2 Africano. It's the fuzzy spot to the right of the dashed line. At the time of writing, the comet is moving at 50 km/sec towards the Sun and will be at Perihelion (closest to the Sun) on Sep.5 and closest to Earth on Sep 27. It may become visible in common telescopes and possibly even binoculars. Africano is currently in the constellation Camelopardalis. Look for more current positions in TheSkylive.com as time progresses<br />
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Unknownnoreply@blogger.com0tag:blogger.com,1999:blog-1195286216399793210.post-23595508326403944222019-06-20T15:50:00.000-07:002019-08-18T12:55:08.865-07:00King of the sky<br />
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Right now, the planet Jupiter is visible in the sky fairly low in the south in the evening. That's a comfortable and convenient time to observe it.<br />
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Jupiter is the most massive, and the largest planet in the solar system. All the other planets would easily fit into it's volume, with room to spare for a second set of solar system planets. We have not detected a solid surface on Jupiter yet; it is one of the two gas giant planets orbiting the sun (which one is the other?). It has the mass of over 300 Earths and around 1200 times the volume. with a diameter about 11 times that of Earth. It is a gas ball with a diameter of 143,000 km and consists of Hydrogen (about 90% and 9+% Helium, with traces of Methane and other elements). That's somewhat reminiscent of the Sun's composition; some people are calling Jupiter a "failed star". However, in order to start the necessary nuclear fusion, Jupiter would have to have about ten times more mass. None-the-less, internal pressures are huge, enough to transmute Hydrogen and Helium into a liquid metallic state. At the centre, there may be an ice/rock core. <br />
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At opposition (i.e. now, August/September 2019) it is close to Earth, since
Sun, Earth, and Jupiter are positioned almost in a straight line.
That means that Jupiter is somewhat more than 4 Astronomical Units away from us (1
AU = 150 million km). Therefore, the light coming to us from Jupiter
takes around 35 minutes to get here. Add to that the distance of Jupiter
to the sun, and you get about 45 more minutes. Since all solar planets
shine by reflected sunlight, we see Jupiter illuminated by sunlight
which left the sun around 80 minutes (1 hour and 20 minutes) earlier. <br />
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Even though Jupiter is 5 times as far from the sun as Earth, and receives only 1/25th (square of distance law) of Earth's sunlight, it is, after the Sun, the Moon, Venus, and the space station in orbit around Earth, the brightest object in the sky. That is due to its large diameter and relatively high reflectivity (albedo). It appears large enough from Earth to show some details in even a small telescope, as well as the Galilean moons. Even binoculars will show the dance of the moons around Jupiter. Larger telescopes, i.e. 4", 5", 8" and larger will show many always changing details on Jupiter, including the great red spot, a local storm as large as our Earth, undergoing quite drastic changes at this time. Jupiter turns once in just under 10 hours; constantly showing new features on its surface. The prominent cloud bands (mostly methane, some ammonia, water ice, traces of hydrogen sulfide) move at hundreds of kilometers/hr., they are far more energetic than the worst storms on Earth.<br />
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The Galilean moons orbiting Jupiter show relatively fast changes in relative positions. These are easily followed even in binoculars. The moons themselves are very different from each other. In order of increasing distance from Jupiter they are Io, Europa, Ganymede, and Callisto. Io is the most volcanically active of any planets or moons in the solar system, Europa has a very smooth, icy surface, possibly about 50km thick, with a vast layer of liquid water suspected underneath; Ganymede is the largest moon in our solar system, and has a quite complex composition; Callisto is the third largest of the moons around any of the solar system planets, after Ganymede, and Saturn's moon Titan. It has a heavily cratered surface. Only the largest of Jupiter's moons' features are visible through earth-based telescopes, and a large telescope is needed even for that purpose.<br />
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Look up The RASC's Observer's Handbook; Wikipedia and other astronomical on-line sources to contain more details for Jupiter-related phenomena.<br />
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People have spent a lifetime exploring Jupiter's system, and now the latest orbiting probes have sent back very detailed data.<br />
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Jupiter is truly the King of the Solar System planets.<br />
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<br />Unknownnoreply@blogger.com0tag:blogger.com,1999:blog-1195286216399793210.post-82275597360802233102019-04-10T13:10:00.001-07:002019-04-10T16:47:16.625-07:00An easy targetWhile our winter nights in our area are cloudy for the most part, aside from the famous objects observable (the Orion nebula, say) we have some other beautiful, easily accessible star clusters available to be observed when the sky clears. One of these, an open cluster M35, in Gemini, can be seen through binoculars, and is almost overhead during that time of year, and can be found lower in the sky well into the spring, too. There is another star cluster located close to M 35, New General Catalogue (NGC) # 2158, much fainter.<br />
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M 35 is estimated to be about 2800 light years away, while NGC 2158 is about 5 times farther away. These two clusters are not related, their proximity is just a matter of perspective from our location in our galaxy. NGC 2158 can be observed through telescopes, while 10x50 binoculars resolve the brighter stars in M 35. This cluster is roughly 110 Million years old, pretty young, if we consider the age of the Universe (about 13.7 billion years). M 35 has a diameter of about 23 light years. We're getting closer to it at a speed of about 5 km/sec.<br />
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgTV4dyr1GOnTSGEYiPK1FiCgfff7VSNl5kSI0qeFZhxbeAWeZszM1rphXNHcvqcN1x3AeWYY4DT99b3SfYSNRIn5d8hukNff2lhyphenhyphenShE9IMrT6cqNDMY7ZJB6jsKIIdNE8tSn1XfNJ_QZi6/s1600/m35_NGC+2158.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="1200" data-original-width="1200" height="640" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgTV4dyr1GOnTSGEYiPK1FiCgfff7VSNl5kSI0qeFZhxbeAWeZszM1rphXNHcvqcN1x3AeWYY4DT99b3SfYSNRIn5d8hukNff2lhyphenhyphenShE9IMrT6cqNDMY7ZJB6jsKIIdNE8tSn1XfNJ_QZi6/s640/m35_NGC+2158.jpg" width="640" /></a></div>
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M35 (upper left hand quadrant) and NGC 2158 (lower right). I took this picture through a remote-control Slooh.com telescope<br />
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Below is a map of M 35's location, a screen capture from Starry Night Pro by Simulation Curriculum:</div>
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgcOHTUoUIZE2eyVgrB8DqJy9zubX3Bc5hFn5PtKRcfJIUJQB5EAS4QxiRYrPMYrwNCQyTuCZoGBuv4PpCD4bSWeqUfAVZBD-yh2GXgevhMIcCjWMfl2TXOcnebqSO3zbDg8i5GJ0vGAEbw/s1600/M+35+location.jpeg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="915" data-original-width="1147" height="510" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgcOHTUoUIZE2eyVgrB8DqJy9zubX3Bc5hFn5PtKRcfJIUJQB5EAS4QxiRYrPMYrwNCQyTuCZoGBuv4PpCD4bSWeqUfAVZBD-yh2GXgevhMIcCjWMfl2TXOcnebqSO3zbDg8i5GJ0vGAEbw/s640/M+35+location.jpeg" width="640" /></a></div>
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You can also see the location of a few more objects, by no means all, which are easy to find in binoculars, and are really nice in 3 to 6 inch telescopes, at low power.<br />
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There are a number of "easy targets" in the sky at this time of year; I picked just one.<br />
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Unknownnoreply@blogger.com0