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Preprints of the Keldysh Institute of Applied Mathematics, 2008, 022, 26 pp. (Mi ipmp374)  

The families c and i of periodic solutions of the restricted problem for $\mu=5\cdot10^{-5}$

A. D. Bruno, V. P. Varin
References:
Abstract: We consider the plane circular restricted three-body problem for the mass parameter value $\mu=5\cdot10^{-5}$. We computed two families of periodic solutions: the family $c$ originating at the collinear stationary point $L_1$, and an initial part of the family $i$ which begins with the direct circular orbits of infinitely small radius around the body of bigger mass. The computed families are very close to the generating ones described by us in earlier studies. In particular, we confirmed the existence of the predicted zigzag structure of characteristics of the family $i$. We found new properties of the plane and the vertical traces.
Document Type: Preprint
Language: Russian
Citation: A. D. Bruno, V. P. Varin, “The families c and i of periodic solutions of the restricted problem for $\mu=5\cdot10^{-5}$”, Keldysh Institute preprints, 2008, 022, 26 pp.
Citation in format AMSBIB
\Bibitem{BruVar08}
\by A.~D.~Bruno, V.~P.~Varin
\paper The families c and i of periodic solutions of the restricted problem for $\mu=5\cdot10^{-5}$
\jour Keldysh Institute preprints
\yr 2008
\papernumber 022
\totalpages 26
\mathnet{http://mi.mathnet.ru/ipmp374}
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    Препринты Института прикладной математики им. М. В. Келдыша РАН
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