Particular solutions in the restricted three-body problem with arbitrarily varying masses

Details Particular solutions in the restricted three-body problem with arbitrarily varying masses Particular solutions in the restricted three-body problem with arbitrarily varying masses

Apr 1989

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1989azh....66..385l&link_type=abstract

Astronomicheskii Zhurnal (ISSN 0004-6299), vol. 66, Mar.-Apr. 1989, p. 385-392. In Russian.

Statistics

Computation

8

Three Body Problem, Variable Mass Systems, Astrodynamics, Computational Astrophysics, Time Dependence

Scientific paper

The appearance and disappearance of the collinear, triangular, complanar, and infinity solutions for various time dependences of the masses are considered for the restricted three-body problem. It is shown that the number of particular solutions can change from two (triangular) for arbitrary time dependences of the masses to 11 (three collinear, two triangular, and six complanar) for a constant ratio of the masses, provided Meshcherskii's law and some additional conditions imposed on the system parameters are satisfied.

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