The restricted three body problem revisited

Speaker(s)

Henryk Żołądek

Affiliation

Uniwersytet Warszawski

Date

Oct. 24, 2008, 10:15 a.m.

Room

room 5840

Seminar

Seminar of Dynamical Systems Group

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The restricted three body problem deals with the Lyapunov stability of the Lagrangian configuration of a system of three bodies in vertices of an equilateral triangle. Two of the bodies (Sun and Jupiter) rotate along circular orbits and the third body (asteroid) has small mass. The stability follows from the KAM theory, under certain semi-algebraic genericity condition. I will present some calculations related with the latter condition.

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