Astronomy and Astrophysics – Astronomy
Scientific paper
Aug 1989
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1989azh....66..859p&link_type=abstract
Astronomicheskii Zhurnal (ISSN 0004-6299), vol. 66, July-Aug. 1989, p. 859-865. In Russian.
Astronomy and Astrophysics
Astronomy
1
Coplanarity, Cosmic Dust, Double Stars, Gravitational Effects, Libration, Three Body Problem, Cosmic Gases, Dynamic Models, Hamiltonian Functions, Numerical Stability, Orbital Resonances (Celestial Mechanics), Stellar Luminosity
Scientific paper
Consideration is given to the stability of the three-parametric family of the coplanar libration points of a gas-dust particle in the field of a double star. The photogravitational restricted circular three-body problem is studied as a dynamical model that differs from the classical problem because both of the main bodies are luminous. It is shown that for coplanar libration points first-order stability is present for the majority of initial conditions and formal stability exists in most of the region of first-order stability. The resonances of the third and fourth orders, which can destroy formal stability, are examined.
Perezhogin A. A.
Tureshbaev A. T.
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