Hostname: page-component-586b7cd67f-t7czq Total loading time: 0 Render date: 2024-12-05T02:07:54.275Z Has data issue: false hasContentIssue false

Direct N-Body Calculations

Published online by Cambridge University Press:  04 August 2017

Sverre J. Aarseth*
Affiliation:
Institute of Astronomy, Madingley Road, Cambridge CB3 OHA England

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

The main principles for direct integration of large point-mass systems are outlined. Most particles are advanced by the Ahmad-Cohen neighbour scheme, using fourth-order force polynomials and individual time-steps. Close encounters and persistent binaries are handled by two-body regularization, whereas extreme triple and quadruple configurations are treated as unperturbed systems by special regularization techniques. As an illustration of these methods, we discuss some recent results of an isolated system containing 1000 particles of unequal mass, with special emphasis on the post-collapse phase.

Type
May 30: Model System in the Point-Mass Approximation
Copyright
Copyright © Reidel 1985 

References

Aarseth, S.J. (1973). In Vistas of Astronomy, ed. Beer, A., Pergamon Press, Oxford, P.13.Google Scholar
Aarseth, S.J. (1974). Astron. and Astrophys. 35, 237.Google Scholar
Aarseth, S.J. (1985). In Multiple Time Scales, eds. Brackbill, J.U. and Cohen, B.I., Academic Press, New York, to be published.Google Scholar
Aarseth, S.J. and Zare, K. (1974). Celest. Mech. 10, 185.CrossRefGoogle Scholar
Ahmad, A. and Cohen, L. (1973). J. Comp. Phys. 12, 389.CrossRefGoogle Scholar
Hayli, A. (1971). Astrophys. and Space Sci. 13, 309.CrossRefGoogle Scholar
Giannone, G. and Molteni, D. (1984). Astron. and Astrophys., in press.Google Scholar
Heggie, D.C. (1974). Celest. Mech. 10, 217.CrossRefGoogle Scholar
Kustaanheimo, P. and Stiefel, E.L. (1965). J. reine angew. Math. 218, 204.CrossRefGoogle Scholar
Mikkola, S. (1984). Ph.D. Dissertation, University of Turku, Finland.Google Scholar
Terlevich, E. (1984). Ph.D. Dissertation, University of Cambridge.Google Scholar
van Albada, T.S. (1968). Bull. Astron. Inst. Netherlands, 19, 479.Google Scholar
Wielen, R. (1967). Veroeff. Astron. Rechen Inst. Heidelberg, No. 19, 1.Google Scholar
Wielen, R. (1971). Astrophys. and Space Sci. 13, 300.CrossRefGoogle Scholar