Coplanar solutions in the photogravitational, restricted, circular three-body problem

Details Coplanar solutions in the photogravitational, restricted, circular three-body problem Coplanar solutions in the photogravitational, restricted, circular three-body problem

Aug 1984

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1984azh....61..789l&link_type=abstract

(Astronomicheskii Zhurnal, vol. 61, July-Aug. 1984, p. 789-794) Soviet Astronomy (ISSN 0038-5301), vol. 28, July-Aug. 1984, p. 4

Astronomy and Astrophysics

Astronomy

3

Coplanarity, Gravitational Effects, Libration, Three Body Problem, Equations Of Motion, Linear Systems, Points

Scientific paper

Consideration is given to a restricted, photogravitational three-body problem in which the main bodies with masses of mu and 1-mu move along circles under mutual attraction. The third low-mass body M is exposed to light and gravitational effects from the main bodies and moves in a field corresponding to a set of coplanar libration points. It is demonstrated through a series of calculations that four separate libration points could exist simultaneously. The regions in the plane of two free parameters where the libration points could exist are identified.

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