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visual obstruction between two moons

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Thread replies: 12
Thread images: 6

File: moon visual obstructed.png (2MB, 1374x830px) Image search: [Google]
moon visual obstructed.png
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Hello /sci/

I am building a little system and need to determine how long two moons of the same planet would have line of sight to each other. For this I need to know the angle β.
Is there a way I can figure it out if α, the radius of the planet r1, the distance of the inner moon r2 and the distance of the outer moon r3 are known?
>>
>>8996870
http://www.braeunig.us/space/
>>
File: 4257380038_59c2466b3a_o.jpg (655KB, 4088x2908px) Image search: [Google]
4257380038_59c2466b3a_o.jpg
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>>8996900
That site seems to be about rocket technology. It doesn't seem to hold answers for my geometrical problem.
>>
>>8996915

Not him but they probably meant to link you to the orbital mechanics page on the left side of the site.
>>
>>8996870
www.reddit.com/r/askmath is an infinitely better place to ask legitimate questions. This board is for cancer.
>>
>>8996919
Just saw that, reading the words "moon hoax" must have put me in a bit of dismissive headspace.
I'll scour that.
>>
beta is twice alpha
that orbit should be an ellipse
read about keplers laws etc,
>>
File: example.png (9KB, 1152x720px) Image search: [Google]
example.png
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>>8996932
There can be a case where α=2β. But as the radii can vary in length and proportion to each other (example picture related α ~62,5° β ~80°), this isn't the solution.

Working with semi-major axis. And considering I choose the orbits, it might as well be perfect circles for now.
>>
>>8996954
2α=β derp
>>
File: 1328660175228.jpg (2MB, 5104x2904px) Image search: [Google]
1328660175228.jpg
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File: beta.jpg (102KB, 623x530px) Image search: [Google]
beta.jpg
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>>
File: 1352449101277.jpg (340KB, 1825x1190px) Image search: [Google]
1352449101277.jpg
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>>8997372
thanks man
Thread posts: 12
Thread images: 6


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