Treatment of Close Approaches in the Numerical Integration of the Gravitational Problem of N-Bodies (Papers appear in the Proceedings of IAU Colloquium No. 10 Gravitational N-Body Problem (ed. by Myron Lecar), R. Reidel Publ. Co. , Dordrecht-Holland.)

Details Treatment of Close Approaches in the Numerical Integration of the Gravitational Problem of N-Bodies (Papers appear in the Proceedings of IAU Colloquium No. 10 Gravitational N-Body Problem (ed. by Myron Lecar), R. Reidel Publ. Co. , Dordrecht-Holland.) Treatment of Close Approaches in the Numerical Integration of the Gravitational Problem of N-Bodies (Papers appear in the Proceedings of IAU Colloquium No. 10 Gravitational N-Body Problem (ed. by Myron Lecar), R. Reidel Publ. Co. , Dordrecht-Holland.)

Nov 1971

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1971ap%26ss..14..133b&link_type=abstract

Astrophysics and Space Science, Volume 14, Issue 1, pp.133-150

Astronomy and Astrophysics

Astrophysics

14

Scientific paper

One of the main difficulties encountered in the numerical integration of the gravitationaln-body problem is associated with close approaches. The singularities of the differential equations of motion result in losses of accuracy and in considerable increase in computer time when any of the distances between the participating bodies decreases below a certain value. This value is larger than the distance when tidal effects become important, consequently,numerical problems are encounteredbefore the physical picture is changed. Elimination of these singularities by transformations is known as the process of regularization. This paper discusses such transformations and describes in considerable detail the numerical approaches to more accurate and faster integration. The basic ideas of smoothing and regularization are explained and applications are given.

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Treatment of Close Approaches in the Numerical Integration of the Gravitational Problem of N-Bodies (Papers appear in the Proceedings of IAU Colloquium No. 10 Gravitational N-Body Problem (ed. by Myron Lecar), R. Reidel Publ. Co. , Dordrecht-Holland.) does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

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