On the Expansions of Intermediate Orbit for General Planetary Theory

Details On the Expansions of Intermediate Orbit for General Planetary Theory On the Expansions of Intermediate Orbit for General Planetary Theory

Dec 1996

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1996cemda..66..345k&link_type=abstract

Celestial Mechanics and Dynamical Astronomy, Volume 66, Issue 4, pp.345-363

Astronomy and Astrophysics

Astronomy

3

General Planetary Theory, Elliptic Functions

Scientific paper

Intermediate orbit for general planetary theory is constructed in the form of multivariate Fourier series with numerical coefficients. The structure and efficiency of the derived series are illustrated by giving various statistical properties of the coefficients. The ability of the recently proposed elliptic function approach to compress the Fourier series representing the intermediate orbit is investigated. Our results confirm that when mutual perturbations of a pair of planets are considered the elliptic function approach is quite efficient and allows one to compress the series substantially. However, when perturbations of three or more planets are under study the elliptic function approach does not give any advantages.

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