Stability of the Periodic Solutions of the Restricted Three-body Problem Representing Analytic Continuations of Keplerian Rectilinear Periodic Motions

Astronomy and Astrophysics – Astronomy

Scientific paper

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Periodic Solutions, Stability, Restricted Three-Body Problem

Scientific paper

The periodic solutions of the restricted three-body problem representing analytic continuations of Keplerian rectilinear periodic motions are well known (Kurcheeva, 1973). Here the stability of these solutions are examined by applying Poncaré's characteristic equation for periodic solutions. It is found that the isoperiodic solutions are stable and all other solutions are unstable.

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