Direct Integration Methods of theN-Body Problem
- 1 November 1971
- journal article
- research article
- Published by Cambridge University Press (CUP) in International Astronomical Union Colloquium
- Vol. 10, 118-132
- https://doi.org/10.1017/s0252921100028542
Abstract
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.Keywords
This publication has 3 references indexed in Scilit:
- Treatment of Close Approaches in the Numerical Integration of the Gravitational Problem of N BodiesInternational Astronomical Union Colloquium, 1971
- A Multi-Particle Regularisation TechniqueInternational Astronomical Union Colloquium, 1971
- Complete solution of a general problem of three bodiesThe Astronomical Journal, 1967