Representation of planetary ephemerides by frequency analysis. Application to the five outer planets.

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Ephemerides, Planets And Satellites: General, Methods: Numerical

Scientific paper

A new type of representation for planetary ephemerides is proposed. Using as a mother ephemeris the result of a numerical integration which has been fitted to observations, an approximation is constructed under the form of Poisson series - a combination of periodic and secular terms -. The significant frequencies of the solution are determined by frequency analysis. The approximation is performed on a finite time interval, few centuries in the case of outer planets. The secular and Poisson terms absorb either arguments with long periods which are lacking in the analysis or close frequencies. Such a representation has practically been realized with JPL's reference ephemeris DE200, a version which spans 250 years, and also with a numerical integration spanning a much longer time interval - named ME200 - which is an extension of DE200 over 560 years computed with Moshier's numerical tools. The rectangular, heliocentric, equatorial coordinates of the five outer planets are represented with a precision below 0.004" in the case of DE200 and below 0.02" in the case of ME200, in angular variables. The resulting series are very compact since they contain less than 215 terms - in the worse case of Jupiter - for each coordinate. Solutions are available in electronic form.

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