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Krein Stability in the Disturbed Two-Body Problem

Published online by Cambridge University Press:  07 August 2017

R. R. Cordeiro  and
R. Vieira Martins
R. R. Cordeiro
Affiliation:
Departamento de Astronomia, Observatório Nacional, Rio de Janeiro, Brazil Departamento de Física, Universidade Federal de Viçosa, Viçosa, Brazil (permanent address)
R. Vieira Martins
Affiliation:
Departamento de Astronomia, Observatório Nacional, Rio de Janeiro, Brazil Laboratório Nacional de ComputaçÃo Científica, Rio de Janeiro, Brazil

Abstract

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We present a method for the study of the Krein signature in perturbed Hamiltonian integrable systems. The method is developed up to first order in the small parameter. We apply this method to a particular instance of the two-body problem in which the semi-major axis is not affected by the perturbation.

Keywords

Stabilityperturbationtwo-body problem
Type
Part VII - Dynamical Systems. Maps. Integrators
Information
Symposium - International Astronomical Union , Volume 152: Chaos, Resonance and Collective Dynamical Phenomena in the Solar System , 1992 , pp. 369 - 374
Copyright
Copyright © Kluwer 1992 

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