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Stationary solutions of the restricted three-body problem in the satellite variant. (English. Russian original) Zbl 0583.70018
Sov. Astron. 29, 465-469 (1985); translation from Astron. Zh. 62, No. 4, 795-802 (1985).
The generalized satellite variant of the restricted three-body problem when the planet has the shape of a triaxial ellipsoid is analyzed. The existence of stationary solutions, corresponding to Poincaré periodic solutions of the third kind, is shown. Stationary solutions are calculated for parameters close to the parameters of the earth-moon- earth-satellite system.
MSC:
70M20 Orbital mechanics
70F15 Celestial mechanics
70F07 Three-body problems
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