Stability of the triangular libration points in the photogravitational three-body problem

Details Stability of the triangular libration points in the photogravitational three-body problem Stability of the triangular libration points in the photogravitational three-body problem

Feb 1985

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1985pazh...11..145k&link_type=abstract

(Pis'ma v Astronomicheskii Zhurnal, vol. 11, Feb. 1985, p. 145-148) Soviet Astronomy Letters (ISSN 0360-0327), vol. 11, Jan.-Feb

Mathematics

Dynamical Systems

4

Astrodynamics, Binary Stars, Librational Motion, Radiation Pressure, Three Body Problem, Dynamical Systems, Gravitational Fields, Hamiltonian Functions, Stability

Scientific paper

The stability of relative equilibrium positions (the triangular libration points) of a gas-dust cloud particle in the gravitational field of a binary system with light repulsion taken into consideration is investigated. The photogravitational restricted circular three-body problem is accepted as a dynamical model. A simple geometrical interpretation is given for the derived necessary stability conditions.

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