Trigonometric expansions of the coordinates in the generalized problem of two fixed centers

Details Trigonometric expansions of the coordinates in the generalized problem of two fixed centers Trigonometric expansions of the coordinates in the generalized problem of two fixed centers

Sep 1985

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1985sva....29..584h&link_type=abstract

(Astronomicheskii Zhurnal, vol. 62, Sept.-Oct. 1985, p. 1008-1017) Soviet Astronomy (ISSN 0038-5301), vol. 29, Sept.-Oct. 1985,

Astronomy and Astrophysics

Astronomy

Astrodynamics, Satellite Orbits, Trigonometric Functions, Two Body Problem, Coordinates, Expansion, Kepler Laws

Scientific paper

Analytic expressions for the coordinates of the intermediate motion of two fixed centers are derived in the form of trigonometric series of linear functions of time. These expansions are required for expanding the perturbation function in solving the problem of the motion of a satellite about a planet. For sigma = 0 and epsilon = 0, the coefficients of these expansions are converted into the coefficients of the classical Keplerian motion.

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