Mathematics
Scientific paper
Aug 1977
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1977cemec..15..489l&link_type=abstract
Celestial Mechanics, vol. 15, Aug. 1977, p. 489-500.
Mathematics
1
Asymptotic Series, Libration, Orbital Mechanics, Spacecraft Trajectories, Three Body Problem, Convergence, Earth Orbits, Earth-Moon System, Matrices (Mathematics), Satellite Orbits
Scientific paper
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 Liapunov 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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