Numerical integration of stellar orbits View Full Text


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Article Info

DATE

1978-11

AUTHORS

F. House, G. Weiss, R. Wiegandt

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. More... »

PAGES

311-318

References to SciGraph publications

  • 1971-06. A note: Remarks on numerical integration procedures as applied to galactic orbit computations in CELESTIAL MECHANICS AND DYNAMICAL ASTRONOMY
  • 1974-08. Implicit single-sequence methods for integrating orbits in CELESTIAL MECHANICS AND DYNAMICAL ASTRONOMY
  • 1973-06. Models of galactic mass distribution in ASTROPHYSICS AND SPACE SCIENCE
  • 1975-02. Numerical integration methods for galactic orbit computations in CELESTIAL MECHANICS AND DYNAMICAL ASTRONOMY
  • 1966-03. Numerical treatment of ordinary differential equations by extrapolation methods in NUMERISCHE MATHEMATIK
  • Identifiers

    URI

    http://scigraph.springernature.com/pub.10.1007/bf01230345

    DOI

    http://dx.doi.org/10.1007/bf01230345

    DIMENSIONS

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