Qualitative Analysis of Some Libration Points in the Restricted Four-body Problem
Received 04 August 2020
2021, Vol. 17, no. 4, pp. 369-390
Author(s): Ligęza A., Żołądek H.
We consider the situation where three heavy gravitational bodies form the Lagrange configuration
rotating in a fixed plane and the fourth body of negligible mass moves in this plane. We
present three cases of so-called libration points and we study their stability using linear approximation
and KAM theory. In some situations we prove the Lyapunov stability for generic values
of some parameter of the problem.
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