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2 votes
1 answer
160 views

Is there a rigorous proof regarding the non-linear stability of the $L_4$ and $L_5$ Lagrange points?

I have found that many proofs regarding the stability of the $L_4$ and $L_5$ Lagrange points are based on linear approximations of the equations of motion near these points. However, from a dynamical ...
ChungLee's user avatar
55 votes
9 answers
23k views

Why are $L_4$ and $L_5$ lagrangian points stable?

This diagram from wikipedia shows the gravitational potential energy of the sun-earth two body system, and demonstrates clearly the semi-stability of the $L_1$, $L_2$, and $L_3$ lagrangian points. The ...
Ehryk's user avatar
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