On the reliability of gravitational N-body integrations

Details On the reliability of gravitational N-body integrations On the reliability of gravitational N-body integrations

Dec 1992

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1992mnras.259..505q&link_type=abstract

Monthly Notices of the Royal Astronomical Society (ISSN 0035-8711), vol. 259, no. 3, p. 505-518.

Astronomy and Astrophysics

Astronomy

40

Celestial Mechanics, Many Body Problem, Numerical Integration, Stellar Orbits, Stellar Systems, Star Clusters, Stellar Gravitation

Scientific paper

In a self-gravitating system of point particles such as a spherical star cluster, small disturbances to an orbit grow exponentially on a time-scale comparable with the crossing time. The results of N-body integrations are therefore extremely sensitive to numerical errors: in practice it is almost impossible to follow orbits of individual particles accurately for more than a few crossing times. We demonstrate that numerical orbits in the gravitational N-body problem are often shadowed by true orbits for many crossing times. This result enhances our confidence in the use of N-body integrations to study the evolution of stellar systems.

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