Numerical integration of stellar orbits

Details Numerical integration of stellar orbits Numerical integration of stellar orbits

Nov 1978

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1978cemec..18..311h&link_type=abstract

Celestial Mechanics, vol. 18, Nov. 1978, p. 311-318.

Computer Science

2

Numerical Integration, Orbit Calculation, Stellar Motions, Stellar Orbits, Computer Techniques, Differential Equations, Equations Of Motion, Runge-Kutta Method, Time Lag, Truncation Errors

Scientific paper

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 sixth-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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