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This question already has an answer here:

It's relative easy to understand gravity balance of Lagrange points $L_1$, $L_2$ and $L_3$. But I am having a hard time to understand how a body would be "kind of" balanced out on Lagrange points $L_4$ and $L_5$.

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marked as duplicate by AccidentalFourierTransform, rob Apr 23 '18 at 0:44

This question has been asked before and already has an answer. If those answers do not fully address your question, please ask a new question.

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    $\begingroup$ Does this answer your question? physics.stackexchange.com/q/36092 $\endgroup$ – Kai Apr 22 '18 at 23:54
  • $\begingroup$ Thanks, but I still don´t get it... $\endgroup$ – Kurt Zuidema Apr 22 '18 at 23:59
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    $\begingroup$ To reopen this question, try to articulate what parts of the explanation from the other question make sense and to be more specific about where your confusion is. $\endgroup$ – rob Apr 23 '18 at 0:46
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a small body occupying L4 or L5 point around a planet completes the full circle both around the planet and the star while the planet itself completes the full circle around the star in the same time span. By the way, L4 and L5 are the only stable Lagrange points, if there is a small perturbation on a body in L4 or L5 point, it must be above some threshold for the body to leave the Lagrange point it was resting in.

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