Physics
Scientific paper
Jul 1981
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1981cemec..24..237z&link_type=abstract
Celestial Mechanics, vol. 24, July 1981, p. 237-254.
Physics
1
Four Body Problem, Gravitational Effects, Satellite Orbits, Satellite Perturbation, Eccentricity, Equations Of Motion, Fourier Series, Inclination, Kepler Laws, Orbital Elements
Scientific paper
A satellite four-body problem is the problem of the motion of an artificial satellite of a planet in a region where perturbations due to the gravitational field of the planet are of the same order as perturbations due to the effects of two perturbing bodies. An expansion of the perturbing function of a satellite restricted four-body problem into a Fourier series is obtained in terms of angular Keplerian elements. The expansion is written out to an accuracy of the 19th order on the eccentricities of orbits, taking into account the inclination of orbits. Coefficients of the Fourier series are the functions of the positional Keplerian elements with standard designations. The expansion of the perturbing function is to be used for the construction of conditionally-periodic solutions, which can then be applied to the construction of a numerical-analytical theory of motion of resonant satellites of planets.
Anikovsky V. V.
Zhuravlev S. G.
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