Stationary solutions of the restricted three-body problem in the satellite variant

Details Stationary solutions of the restricted three-body problem in the satellite variant Stationary solutions of the restricted three-body problem in the satellite variant

Aug 1985

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1985azh....62..795z&link_type=abstract

(Astronomicheskii Zhurnal, vol. 62, July-Aug. 1985, p. 795-802) Soviet Astronomy (ISSN 0038-5301), vol. 29, July-Aug. 1985, p. 4

Astronomy and Astrophysics

Astronomy

Celestial Mechanics, Natural Satellites, Orbital Mechanics, Planetary Mass, Three Body Problem, Equations Of Motion, Gravitational Fields, Orbit Perturbation, Planetary Structure, Satellite Orbits, Stationary Orbits

Scientific paper

Considered is a generalization of a satellite case of the restricted three-body problem when the primary is a triaxial ellipsoid. The existence of the stationary solutions corresponding to periodic solutions of Poincaré's third sort is proved. Calculations of the stationary solutions are carried out for parameters similar to those of the system Earth-Moon-Earth satellite.

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