The stability of the libration points in the restricted three-body problem with variable masses

Details The stability of the libration points in the restricted three-body problem with variable masses The stability of the libration points in the restricted three-body problem with variable masses

Feb 1990

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1990azh....67..167l&link_type=abstract

Astronomicheskii Zhurnal (ISSN 0004-6299), vol. 67, Jan.-Feb. 1990, p. 167-172. In Russian.

Statistics

Computation

3

Computational Astrophysics, Libration, Mass Distribution, Three Body Problem, Coordinate Transformations, Differential Equations, Orbital Mechanics

Scientific paper

The restricted three-body probem with variable masses is examined, assuming that the motions of the primaries are determined by the Gylden-Meshcherski problem and that the change of their masses obeys the unified Meshcherski law. It is shown that, for any set of parameters, all of the libration points in the problem (collinear, triangular, and complanar) are stable with respect to the coordinates introduced by the Meshcherski transformation.

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