Numerical integration of the equations of motion of celestial mechanics

Details Numerical integration of the equations of motion of celestial mechanics Numerical integration of the equations of motion of celestial mechanics

Jun 1984

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1984cemec..33..127f&link_type=abstract

Celestial Mechanics (ISSN 0008-8714), vol. 33, June 1984, p. 127-142.

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31

Celestial Mechanics, Equations Of Motion, Numerical Integration, Solar System, Circular Orbits, Computer Programs, Eccentric Orbits, Gravitational Effects, Runge-Kutta Method

Scientific paper

Some new techniques for numerical solutions to the differential equations governing the motion of bodies in the solar system moving under their mutual gravitational forces are presented. The methods are tested against each other and against conventional methods. The methods evaluated include: the Gauss-Jackson method; the Gauss-Jackson-Merson method; the Runge-Kutta-Butcher method; the Runge-Kutta Dormand method; the Runge-Kutta method; the Adams method; the Taylor series method; and the Bulirsch and Stoer extrapolation. The techniques are judged for speed, accuracy and ease of use in computing a two body test problem. The conclusions of the comparison are discussed in detail, and no single technique was found to be superior to all others.

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