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Preprints of the Keldysh Institute of Applied Mathematics, 2006, 036 (Mi ipmp584)  

This article is cited in 1 scientific paper (total in 1 paper)

The generating family $i$ of periodic solutions of the restricted problem

A. D. Bruno, V. P. Varin
Full-text PDF Citations (1)
Abstract: For $\mu=0$, we study (generating) family $i$ of symmetric periodic solutions of the plane circular restricted three-body problem. This family begins with the direct circular orbits of infinitely small radius around the primary P$_1$ of greater mass. We demonstrate how the generating family i is formed from the parts of families Id, E$_N^\pm$, B$_1$, and С$_{k,k+1}$. On the initial part of the generating family $i$, we computed (and plotted) all critical orbits, the period and both traces (the plane and the vertical ones), and characteristics of the family in various coordinate systems. It turned out that characteristics of the family have a rather complicated structure. We found cyclic regularities in this structure as well as in the structure of the whole family.
Document Type: Preprint
Language: Russian
Citation: A. D. Bruno, V. P. Varin, “The generating family $i$ of periodic solutions of the restricted problem”, Keldysh Institute preprints, 2006, 036
Citation in format AMSBIB
\Bibitem{BruVar06}
\by A.~D.~Bruno, V.~P.~Varin
\paper The generating family $i$ of periodic solutions of the restricted problem
\jour Keldysh Institute preprints
\yr 2006
\papernumber 036
\mathnet{http://mi.mathnet.ru/ipmp584}
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  • https://www.mathnet.ru/eng/ipmp/y2006/p36
  • This publication is cited in the following 1 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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