Bruno, A. D. Babenko, K. I. (ed.) 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. Cited in 1 ReviewCited in 14 Documents MSC: 70-02 Research exposition (monographs, survey articles) pertaining to mechanics of particles and systems 70F07 Three-body problems Keywords:planar circular restricted three-body problem; Hamiltonian system; periodic solution; unperturbed problem; generating solutions; method of characteristics PDFBibTeX XMLCite \textit{A. D. Bruno} and \textit{K. I. Babenko} (ed.), Ogranichennaya zadacha trekh tel. Ploskie periodicheskie orbity (Russian). Ed. by K. I. Babenko. Moskva: Nauka (1990; Zbl 0695.70001)