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Preprints of the Keldysh Institute of Applied Mathematics, 2005, 048 (Mi ipmp689)  

The family $h$ of periodic solutions of the restricted problem for small $\mu$

A. D. Bruno, V. P. Varin
Abstract: We present the results of computations for the family $h$ of symmetric periodic solutions of the plane circular restricted three-body problem for four values of $\mu=0$, $10^{-3}$, $0.1$, $0.2$. This family begins with the retrograde circular orbits around the biggest primary. For each value of $\mu$, we give: the table of critical orbits, figures of orbits, plots of characteristics of the family in four coordinate systems, plots of the period and both traces (the plane and the vertical one). We point out regularities on the family and its connection with the generating family.
Document Type: Preprint
Language: Russian
Citation: A. D. Bruno, V. P. Varin, “The family $h$ of periodic solutions of the restricted problem for small $\mu$”, Keldysh Institute preprints, 2005, 048
Citation in format AMSBIB
\Bibitem{BruVar05}
\by A.~D.~Bruno, V.~P.~Varin
\paper The family $h$ of periodic solutions of the restricted problem for small~$\mu$
\jour Keldysh Institute preprints
\yr 2005
\papernumber 048
\mathnet{http://mi.mathnet.ru/ipmp689}
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    Препринты Института прикладной математики им. М. В. Келдыша РАН
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