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JOURNALS // Preprints of the Keldysh Institute of Applied Mathematics // Archive

Keldysh Institute preprints, 1996 093 (Mi ipmp1594)

This article is cited in 5 papers

Zero-Multiple and Retrograde Periodic Solutions of the Restricted Three-Body Problem

A. D. Bruno


Abstract: We consider the planar circular restricted three-body problem for small values of the massratio $\mu$, and for fixed values of $\mu$ we study families of its symmetric periodic solutions. For $\mu$ = 0 we describe generating families which include solutions of two two-body problems and solutions of the Hill's problem. For $\mu$=0.00095388, corresponding to the Sun-Jupiter-Spacecraft case, we have computed four families of zero-multiple orbits and six families with the retrograde direction of motion. We compare them with corresponding generating families. The similar comparison is made for families computed by M.R.Broucke for $\mu$= 0.012155 corresponding to the Earth-Moon-Spacecraft case.



© Steklov Math. Inst. of RAS, 2026