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Preprints of the Keldysh Institute of Applied Mathematics, 1996, 093 (Mi ipmp1594)  

This article is cited in 5 scientific papers (total in 5 papers)

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

A. D. Bruno
Full-text PDF Citations (5)
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.
Document Type: Preprint
Language: Russian
Citation: A. D. Bruno, “Zero-Multiple and Retrograde Periodic Solutions of the Restricted Three-Body Problem”, Keldysh Institute preprints, 1996, 093
Citation in format AMSBIB
\Bibitem{Bru96}
\by A.~D.~Bruno
\paper Zero-Multiple and Retrograde Periodic Solutions of the Restricted Three-Body Problem
\jour Keldysh Institute preprints
\yr 1996
\papernumber 093
\mathnet{http://mi.mathnet.ru/ipmp1594}
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  • https://www.mathnet.ru/eng/ipmp/y1996/p93
  • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Препринты Института прикладной математики им. М. В. Келдыша РАН
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    Abstract page:150
    Full-text PDF :9
     
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