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Direct Integration Methods of the N-Body Problem

  • S. J. Aarseth (a1)

Abstract

A fourth-order polynomial method for the integration of N-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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Copyright

References

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Aarseth, S. J.: 1968, Bull. Astron. 3, 105.
Aarseth, S. J.: 1970, Astron. Astrophys. 9, 64.
Bettis, D. G. and Szebehely, V. G.: 1972, this issue, p. 133.
Gonzalez, C. C. and Lecar, M.: 1968, Bull. Astron. 3, 209.
Heggie, D. C.: 1972, this issue, p. 35.
Lecar, M.: 1968, Bull. Astron. 3, 91.
Kustaanheimo, P. and Stiefel, E.: 1965, Math. 218, 204.
Peters, C. F.: 1968, Bull. Astron. 3, 167.
Stiefel, E.: 1967, NASA Report CR-769.
Szebehely, V. G. and Peters, C. F.: 1967, Astron. J. 72, 876.
Wielen, R.: 1967, Veröff. Astron. Rechen-Inst. Heidelberg, No. 19.

Direct Integration Methods of the N-Body Problem

  • S. J. Aarseth (a1)

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