Qualitative analysis of some libration points in the restricted four body problem

Speaker(s)

Henryk Żołądek

Affiliation

Uniwersytet Warszawski

Date

March 29, 2019, 10:15 a.m.

Room

room 5840

Seminar

Seminar of Dynamical Systems Group

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We consider the situation when three heavy gravitational bodies form a Lagrange configuration rotating in a fixed plane and the third 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 the KAM theory. In two cases we prove the Lyapunov stability for generic values of some parameter of the problem.
 

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