Expansions of the Negative Powers of Mutual Distances between Bodies

Details Expansions of the Negative Powers of Mutual Distances between Bodies Expansions of the Negative Powers of Mutual Distances between Bodies

Mar 1970

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1970cemec...3..121p&link_type=abstract

Celestial Mechanics, Volume 3, Issue 1, pp.121-128

Physics

11

Scientific paper

The negative powers of the mutual distanceΔ -γ between two bodies are developed into series converging at any moment but that of collision. On the base of these expansions the series have been constructed representingΔ -γ in the perturbation theory of celestial mechanics. In the general case, including intersecting orbits, the terms are quasi-periodic functions of the time. In the case of non-intersecting orbits the expansion is a double Fourier series in the mean anomalies. All the expansions have a literal form with respect to osculating elements.

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