A new compact representation of ephemerides - Application to the motion of Pluto, the sun and the Galilean satellites of Jupiter

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Celestial Mechanics, Ephemerides, Galilean Satellites, Planet Ephemerides, Pluto (Planet), Sun, Approximation, Astronomical Coordinates, Geocentric Coordinates, Periodic Functions, Secular Variations, Trigonometric Functions

Scientific paper

The ephemeris-representation technique of Bacchus (1981), using families of trigonometric and mixed approximating functions instead of Chebyshev polynomials, is expanded and applied to Pluto, the sun, and the Galilean satellites of Jupiter. The quasi-periodic nature of the solutions is taken into account in choosing the basis of mixed functions, which contains both secular and sinusoidal terms. Results for Pluto from 1805 to 2030, for the sun over 400 d, and for the Jovian satellites over 4 or 8 d are presented in tables and graphs, demonstrating the advantages in compactness and ease of use (especially with small computers) of the present technique.

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