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How can you construct the periodic orbits around libration points L1 and L2 in the circular restricted three-body problem and prove their existence?

April 6, 2020 by

Questions › How can you construct the periodic orbits around libration points L1 and L2 in the circular restricted three-body problem and prove their existence?
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Garmaine asked 3 years ago

Following up on a previous question about the classification of periodic orbits, how can they be constructed, especially the planar Lyapunov family, around libration points $L_1$ and $L_2$? And how can we prove their existence around those points?

Most papers I have found focus mainly on Halo orbits (see example) but I haven't found any that focus on the planar Lyapunov family.

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Original Question and Possible Answers can be found on `http://space.stackexchange.com`

Question Tags: celestial-mechanics, halo-orbit, lagrangian-points, orbital-mechanics, three-body

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