Motion of a particle in the gravitational field of a periodic variable star

Details Motion of a particle in the gravitational field of a periodic variable star Motion of a particle in the gravitational field of a periodic variable star

Apr 1982

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1982azh....59..389k&link_type=abstract

(Astronomicheskii Zhurnal, vol. 59, Mar.-Apr. 1982, p. 389-396.) Soviet Astronomy, vol. 26, Mar.-Apr. 1982, p. 235-239. Translat

Astronomy and Astrophysics

Astronomy

Celestial Mechanics, Particle Motion, Stellar Gravitation, Variable Stars, Equations Of Motion, Orbit Perturbation, Particle Trajectories, Resonance, Stellar Evolution

Scientific paper

An analysis of the motion of a particle in the gravitational field of a constant mass, periodic variable star shows the force of gravitational attraction to be characterized by the assignment of the force function, U, which is T-periodic with time, where T is the star's pulsational period. The main effects appearing in the first approximation, with respect to the small parameter epsilon in the motion of a particle whose initial value corresponds to nearly circular trajectories of the unperturbed problem, are revealed by the method of averaging the equations of motion. The class of motions with resonance frequencies breaks down into one type including the steady-state solutions of the averaged system of equations which are stable in the first approximation, and another that contains resonance trajectories having significant variations of the Lagrangian elements h and k, which prevent these trajectories from remaining in the small vicinities of circular orbits.

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