Numerical integration methods for orbital motion

Details Numerical integration methods for orbital motion Numerical integration methods for orbital motion

Mar 1992

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1992cemda..53...59m&link_type=abstract

Celestial Mechanics and Dynamical Astronomy (ISSN 0923-2958), vol. 53, no. 1, 1992, p. 59-69.

Astronomy and Astrophysics

Astronomy

7

Celestial Mechanics, Numerical Integration, Orbit Calculation, Eccentric Orbits, Extrapolation, Runge-Kutta Method

Scientific paper

The present report compares Runge-Kutta, multistep and extrapolation methods for the numerical integration of ordinary differential equations and assesses their usefulness for orbit computations of solar system bodies or artificial satellites. The scope of earlier studies is extended by including various methods that have been developed only recently. Several performance tests reveal that modern single- and multistep methods can be similarly efficient over a wide range of eccentricities. Multistep methods are still preferable, however, for ephemeris predictions with a large number of dense output points.

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