Once again I used my inexpensive astrophotography equipment just for fun. This time I took some pictures of high-flying planes using just an astro camera and a telescope on a simple alt-azimuth mount. Well they were actually two different telescopes on two different alt-azimuth mounts, so you can see it's possible with different kinds of telescopes.
My home city lies very far from any decent airport (over 100 km to the nearest such one), so almost every plane that I can see is flying at a cruising altitude of at least 10 km (32800 ft). The crucial things for me to succeed were (1) using a focal reducer 0.5x (in order to get a bigger field of view) and (2) using the program FireCapture_v2.7 in the timelapse mode, with the minimum possible delay of 1 second.
Thanks to the timelapse mode I don’t need a “third hand”, nor anybody else to push the “capture button” while I am moving my telescope (aiming at a plane) and setting/correcting the focus. It’s actually good to set the focus in advance while aiming at clouds that are roughly in the direction where the plane should appear (you can predict it thanks to the site www.flightradar24.com), but don’t expect to find perfect focus this way. Well, don’t expect to find perfect focus EVER, so you won’t be disappointed. And forget about all the plane-spotting pictures (that are all over the net) taken with expensive non-astro cameras.
I used two different telescopes, so the results vary significantly. The difference is actually overblown because the planes pictured with my 70/700 refractor were very far (first two pictures), while the plane pictured with my 102/1300 Mak (Maksutov-Cassegrain) was very close (third picture).
The original pictures were 1920x1080 pixels, so they were too big to be posted here and this is why I cropped them to 1600x1080 pixels.
Click to enlarge!
By the way, has anybody any idea what kind of plane is the last one? And what are the circles on its belly?
Aiming with the refractor was much easier than with the Mak, for two different reasons. First reason is that the refractor is physically longer, so there is more precision to its movements. Second reason, more important, is that the field of view is almost twice as big (with the same camera) because it has a much smaller focal length (700 vs. 1300). It's worth to point out that the field of view AREA is actually 3.45x as big ((1300/700)^2), so it's a BIG difference. But a particular plane at a particular distance will be proportionally bigger on the picture taken with the Mak, so it's a double-edge sword.
I attempted also several other planes, but the results were either weak or non-existent because:
1. The initial focus was very bad and I couldn’t fix it in time while keeping the plane in the field of view.
2. The plane was practically invisible because the sun was on the “wrong side”.
3. The plane didn’t leave any contrails and I couldn’t “find it” at all with a telescope.
I have to point out that I used my better (more expensive, but still affordable) astro camera ZWO ASI 482MC-S (sensor pixel size 5.8 µm) because it has a much bigger field of view (with a particular telescope). This camera, combined with a reducer 0.5x (official reduction factor) and with my refractor gives me more than 1.8 degrees field of view. With my Mak it's almost 1 degree.
Now it's time for some math. The crucial questions (and answers) are these:
How can I predict the size of a plane in pixels on a captured picture? By dividing the angular size of the plane in arcseconds by the equipment resolution in arcs/pixel.
How can I predict the angular size of the plane? By using my formulas that I described here:
https://www.cloudyni...ing/?p=12775631
The example in that post of mine was made for:
1) a plane 35m big,
2) flying at the altitude of almost exactly 10km,
3) being 10km away (horizontally).
The two distances created almost exactly a square 10km x 10km, so the view angle (when looking at the plane) was almost exactly 45 degrees above the horizon.
At the bottom of that example there was the angular size of the plane (8.509 arcminutes), so the size in arcseconds was 510.54 arcseconds (8.509 arcminutes * 60 arcseconds/arcminute).
Now we can calculate the size of plane in pixels:
Refractor:
Plane size in pixels = 510.54 arcseconds / 3.42 arcs/pixel = 149 pixels
Mak:
Plane size in pixels = 510.54 arcseconds / 1.84 arcs/pixel = 277 pixels
The result for the Mak is very close to the actual plane size in pixels on the picture taken with the Mak (third picture). The result for the refractor is much bigger than on the pictures taken with the refractor (first and second pictures), simply because the planes were much farther away than 10km.
I can't post any more pictures here, so I will continue in another post.
Edited by Marcin_78, 16 April 2024 - 01:20 PM.