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Quasi-Lntegrals of the Plane Restricted Three-Body Problem

Published online by Cambridge University Press:  12 April 2016

E.M. Nezhinskij
E.M. Nezhinskij*
Affiliation:
Institute of Theoretical Astronomy of the Russian Academy of Sciences, St. Petersburg

Abstract

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The paper is concerned with studying the domain of possible motion and a field of the test body velocities in the plane restricted problem of three bodies. The study is based on existence of a quasi-integral of areas (similar to an integral of areas in the problem of two bodies) as well as on the Jacobi integral. The method of constructing the quasi-integrals is a standard one (see, for example, [1],[2].

Type
Part IV Triple and Many Body Problem
Information
International Astronomical Union Colloquium , Volume 132: Instability, Chaos and Predictability in Celestial Mechanics and Stellar Dynamics , 1993 , pp. 309 - 319
Copyright
Copyright © Nova Science Publishers 1993

References

[1] Timoshkova, E.I., Kholchevnikov, K.V. //Itogi nauki i tekhniki. Ser. Astronomia, 1982, T.20, p.19.Google Scholar
[2] Contopoulos, G.,// The Astrophys. J. 1965, V.142, p.802.Google Scholar
[3] Subbotin, M.F. Vvedenie v teoreticheskuyu astronomiyu. Moscow, Nauka, 1968.Google Scholar