High order F and G power series for orbit determination.

Details High order F and G power series for orbit determination. High order F and G power series for orbit determination.

Apr 1995

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1995a%26as..110..411b&link_type=abstract

Astronomy and Astrophysics Supplement, v.110, p.411

Astronomy and Astrophysics

Astrophysics

1

Celestial Mechanics, Numerical Methods, Solar System

Scientific paper

The table of coefficients and exponents of the power series f and g up to derivatives of the 20th order is the main achievement of this paper. The accuracy of the calculation of orbits has been tested by tracing the motion of all planets of the Solar System. Special attention has been paid to high-eccentricity orbits in the two- or three-body problem. Power series from 10th up to 20th order have been used instead of other integration methods.

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