Direct calculation of an ephemeris of a planet

Details Direct calculation of an ephemeris of a planet Direct calculation of an ephemeris of a planet

Oct 1977

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1977a%26a....61....7c&link_type=abstract

Astronomy and Astrophysics, vol. 61, no. 1, Oct. 1977, p. 7-11. In French.

Astronomy and Astrophysics

Astrophysics

6

Jupiter (Planet), Orbit Calculation, Planet Ephemerides, Saturn (Planet), Astrometry, Chebyshev Approximation, Computer Programs, Euler-Lagrange Equation

Scientific paper

A simple method of calculating a short-term ephemeris for a planet with the aid of Chebyshev polynomials is developed. The Lagrange equations for four osculating variables are integrated directly, the right members being represented by Chebyshev series. The calculation serves as a basis for a PL/1 program for calculating the ephemeris of Q planets with given maximum degree N of the Chebyshev polynomials. This program was used to calculate for a period of 400 days the semimajor axes of Jupiter and Saturn for N equals 7, and the maximum error was well within the range permitted for ephemerides.

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