Astronomy and Astrophysics – Astronomy
Scientific paper
Dec 1981
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1981sva....25..740m&link_type=abstract
(Astronomicheskii Zhurnal, vol. 58, Nov.-Dec. 1981, p. 1306-1313.) Soviet Astronomy, vol. 25, Nov.-Dec. 1981, p. 740-743. Trans
Astronomy and Astrophysics
Astronomy
4
Libration, Orbit Calculation, Perturbation Theory, Satellite Perturbation, Satellite Rotation, Three Body Problem, Asymptotic Methods, Bogoliubov Theory, Center Of Mass, Eccentric Orbits, Equations Of Motion
Scientific paper
A theory of motion of a satellite about its center of mass is developed, where the satellite is placed at the triangular libration point of the restricted, elliptical three-body problem. For the intermediate motion there is taken the motion corresponding to the solution of the integrable problem obtained from the initial problem through the use of an averaging scheme of the Delaunay-Hill type for the case of the resonance, perturbed, rotational motion of a rigid satellite. The perturbation theory is developed on the basis of the Bogolyubov-Krylov method for resonance dynamical systems. First-order perturbations are obtained on the basis of the intermediate satellite motion.
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