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The restricted three-body problem. Plane periodic orbits. (Ogranichennaya zadacha trekh tel. Ploskie periodicheskie orbity). Ed. by K. I. Babenko. (Ogranichennaya zadacha trekh tel. Ploskie periodicheskie orbity.) (Russian. English summary) Zbl 0695.70001

Moskva: Nauka. 296 p. R. 4.50 (1990).
Summary: From a single point of view, the monograph presents results of qualitative, analytical and numerical researches of the planar circular restricted three-body problem. For a Hamiltonian system, it states investigations of the structure of the phase space in a neighbourhood of a stationary or periodic solution. Results of the investigations are applied to study solutions of the restricted problem for small values of a mass ratio. For the unperturbed problem, critical and generating solutions are isolated that allow to systematize results of computations. The method of the normal form and a method of characteristics are used in the book.
It is intended for researchers in mathematics, mechanics and celestial mechanics.

MSC:

70-02 Research exposition (monographs, survey articles) pertaining to mechanics of particles and systems
70F07 Three-body problems
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