Numerical integration methods for orbital motion

  • Montenbruck O
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Abstract

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.

Author-supplied keywords

  • Extrapolation Methods
  • Multistep Methods
  • Numerical Integration
  • Orbit Computation
  • Runge-Kutta Methods

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Authors

  • O. Montenbruck

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