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A Method of Numerical Extending of Periodical Motions of Hamiltonian Systems with Respect to Parameters

Published online by Cambridge University Press:  12 April 2016

S.R. Karimov  and
A.G. Sokolsky
S.R. Karimov
Affiliation:
Institute of Theoretical Astronomy, St. Petersburg, Russia
A.G. Sokolsky
Affiliation:
Institute of Theoretical Astronomy, St. Petersburg, Russia

Abstract

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The method proposed is a generalization of the method described in [1]. It is represented in terms of the Hamiltonian formalism with all the advantages arising from it. A complete presentation of the method is given in the paper [2].

Type
Part V General Celestial Mechanics and Stellar Dynamics
Information
International Astronomical Union Colloquium , Volume 132: Instability, Chaos and Predictability in Celestial Mechanics and Stellar Dynamics , 1993 , pp. 365 - 371
Copyright
Copyright © Nova Science Publishers 1993

References

[1] Karimov, S.R., Sokolsky, A.G. Periodic motions, generated by Lagrangian solutions of the circular restricted three-body problem// Celestial Mechanics, 1989, V.46, N.4, pp. 335–381.CrossRefGoogle Scholar
[2] Karimov, S.R., Sokolsky, A.G. A method of extending (with respect to the parameters) the natural families of periodic motions of Hamiltonian systems. - Preprint ITA Acad.Sci. USSR, 1990, N.9, 32 pp.Google Scholar