Astronomy and Astrophysics – Astrophysics
Scientific paper
Nov 1971
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1971ap%26ss..14..118a&link_type=abstract
Astrophysics and Space Science, Volume 14, Issue 1, pp.118-132
Astronomy and Astrophysics
Astrophysics
35
Scientific paper
A fourth-order polynomial method for the integration ofN-body systems is described in detail together with the computational algorithm. Most particles are treated efficiently by an individual time-step scheme but the calculation of close encounters and persistent binary orbits is rather time-consuming and is best performed by special techniques. A discussion is given of the Kustaanheimo-Stiefel regularization procedure which is used to integrate dominant two-body encounters as well as close binaries. Suitable decision-making parameters are introduced and a simple method is developed for regularizing an arbitrary number of simultaneous two-body encounters.
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