A study of asymptotic solutions in the vicinity of the collinear libration points of the restricted three-body problem |
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| Authors: | L G Lukjanov |
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| Institution: | (1) Sternberg State Astronomical Institute, Universitetsky prospect, 13, V-234 Moscow, U.S.S.R. |
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| Abstract: | Some particular solutions of the restricted three-body problem which determine outgoing or incoming orbits near libration points are considered. The solutions are obtained in the form of absolutely convergent Liapounov series. It is proved that these asymptotic solutions are plane curves situated in the orbital plane of the primaries. Each family of asymptotic solutions for every collinear point consists of four solutions which are the separatrices of a saddle point. The angles of inclination of the separatrices are determined.
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