Roundoff error in long-term planetary orbit integrations

Details Roundoff error in long-term planetary orbit integrations Roundoff error in long-term planetary orbit integrations

Mar 1990

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1990aj.....99.1016q&link_type=abstract

Astronomical Journal (ISSN 0004-6256), vol. 99, March 1990, p. 1016-1023. Research supported by the Connaught Fund.

Astronomy and Astrophysics

Astronomy

20

Orbital Mechanics, Planetary Orbits, Solar System, Cartesian Coordinates, Equations Of Motion, Error Analysis, Floating Point Arithmetic, Jupiter (Planet), Planets, Astronomy, Orbits, Numerical Methods, Techniques, Calculations, Solar System, Motion, Orbital Elements, Celestial Mechanics, Energy, Analysis, Computer Methods

Scientific paper

Possible sources of roundoff error in solar system integrations are studied. It is suggested than when floating point arithmetic is optimal, the majority of roundoff error arises from two sources: the approximate representation of the numerical coefficients used in multistep integration formulas and the additions required to evaluate these formulas. An algorithm to remove these two sources of error in computers with optimal arithmetic is presented. It is shown that the corrections result in a substantial reduction in the energy error at the cost of less than a factor of 2 increase in computing time.

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