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Numerical integration of stellar orbits - Celestial Mechanics and Dynamical Astronomy

  • ️Wiegandt, R.
  • ️Wed Nov 01 1978

Abstract

Five methods for numerically integrating stellar orbits in a time-independent, steady potential are compared in efficiency and accuracy. The methods are: Fehlberg's (1972) treatment of the Runge-Kutta method, Krogh's (1971) variable-order Adam's method, an extrapolation method described by Stoer (1974) and two orders of the implicit single-sequence method of Everhart (1974). It is found that Fehlberg's 6th-order Runge-Kutta is the fastest but also the least accurate. The new method of Everhart seems a good compromise between efficiency and accuracy in this problem.

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Authors and Affiliations

  1. Astronomisches Institut der Ruhr-Universität, D-4630, Bochum, FRG

    F. House, G. Weiss & R. Wiegandt

Authors

  1. F. House

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  2. G. Weiss

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  3. R. Wiegandt

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House, F., Weiss, G. & Wiegandt, R. Numerical integration of stellar orbits. Celestial Mechanics 18, 311–318 (1978). https://doi.org/10.1007/BF01230345

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  • Received: 21 January 1978

  • Issue Date: November 1978

  • DOI: https://doi.org/10.1007/BF01230345

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