Numerical efficiency of the elliptic function expansions of the first-order intermediary for general planetary theory

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Contributors

Abstract

We compare numerical efficiency of the two kinds of series for the first-order intermediate orbit for general planetary theory: (1) the classical expansion involving mean longitudes of the planets; (2) an expansion resulting from the theory of elliptic functions. We conclude that mutual perturbations of close couples of planets (the ratio of major semi-axes similar to 1) can be represented in more compact form with the aid of the second kind of series.

Details

Original languageEnglish
Title of host publicationDYNAMICS, EPHEMERIDES AND ASTROMETRY OF THE SOLAR SYSTEM
EditorsS FerrazMello, B Morando, JE Arlot
PublisherKLUWER ACADEMIC PUBL
Pages101-104
Number of pages4
ISBN (print)0-7923-4084-1
Publication statusPublished - 1996
Peer-reviewedYes

Publication series

SeriesSymposium
ISSN0074-1809

Conference

Title172nd Symposium of the International-Astronomical-Union on Dynamics, Ephemerides and Astrometry of the Solar System
Duration3 - 8 July 1995
CityPARIS
CountryFrance