Uniform approximation of planetary ephemerides

Details Uniform approximation of planetary ephemerides Uniform approximation of planetary ephemerides

Apr 1998

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1998a%26as..129..425c&link_type=abstract

Astronomy and Astrophysics Supplement, v.129, p.425-430

Astronomy and Astrophysics

Astrophysics

Ephemerides, Planets And Satellites

Scientific paper

DE200/LE200 astronomical ephemerides are compressed finding the ``best approximation'' in the Chebyshev sense. When reproducing the data base from this polynomial approximation, the maxima and minima values of the error are equal in absolute value over the considered interval. In order to obtain polynomials valid also for a reliable evaluation at points interpolated on the data base, we work with dense data bases: the fact that the estimate of the error provided by the best approximation of continuous functions is valid for all the interval and the smoothness of the discrete error functions we have obtained guarantee, in our opinion, the desired bound for the error also for interpolated points. Consequently we obtain maximum compression and fast evaluation.

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