Hostname: page-component-77c89778f8-swr86 Total loading time: 0 Render date: 2024-07-22T02:22:48.608Z Has data issue: false hasContentIssue false
  • English
  • Français

Regularization tools for binary interactions

Published online by Cambridge University Press:  26 May 2016

Sverre J. Aarseth
Sverre J. Aarseth*
Affiliation:
Institute of Astronomy, University of Cambridge, Cambridge, UK

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.

We first discuss two-body and chain regularization methods for direct N-body simulations on HARP-2 and GRAPE-6. The former is used for accurate integration of perturbed binaries and hierarchies, whereas the latter deals with strong interactions involving binaries. Combined with a powerful stability criterion for hierarchical systems, this versatile treatment provides an efficient way of studying all dynamical processes in globular clusters containing a realistic population of primordial binaries. These algorithms are also ideal for modelling a variety of astrophysical effects, such as averaging over Kozai cycles, tidal circularization, spin-orbit coupling and stellar collisions, where well-defined elements are used to describe near-singular solutions. We also describe a new time-transformed leapfrog scheme which has been developed to deal with black-hole binaries in galactic centres. This formulation is valid for large mass ratios and dominant two-body motions in a compact subsystem can be treated accurately in the post-Newtonian approximation. This method has been combined with the existing regularization algorithms into a new simulation code NBODY7. Some preliminary results of a test problem illustrating possible applications are presented.

Type
Algorithms
Information
Symposium - International Astronomical Union , Volume 208: Astrophysical Supercomputing using Particle Simulations , 2003 , pp. 295 - 304
Copyright
Copyright © Astronomical Society of the Pacific 2003 

References

Aarseth, S.J. 1996, in Dynamical Evolution of Star Clusters, ed. Hut, P. & Makino, J. (Dordrecht: Kluwer), 161 Google Scholar
Aarseth, S.J. 1999a, in Impact of Modern Dynamics in Astronomy, ed. Henrard, J. & Ferraz-Mello, S. (Dordrecht: Kluwer), 127 CrossRefGoogle Scholar
Aarseth, S.J. 1999b, PASP, 111, 1333 CrossRefGoogle Scholar
Aarseth, S.J. & Mardling, R.A. 2001, in Evolution of Binary and Multiple Star Systems, ed. Podsiadlowski, P., Rappaport, S., King, A., D'Antona, F. & Burderi, L. (San Francisco: ASP), 77 Google Scholar
Aarseth, S.J. & Zare, K. 1974, Celes. Mech. 10, 185 CrossRefGoogle Scholar
Ahmad, A. & Cohen, L. 1973, J. Comput. Phys. 12, 389 CrossRefGoogle Scholar
Bulirsch, R. & Stoer, J. 1966, Num. Math. 8, 1 CrossRefGoogle Scholar
Heggie, D.C. 1996, personal communication Google Scholar
Hemsendorf, M., Sigurdsson, S. & Spurzem, R. 2001, astro-ph/0103350 Google Scholar
Hurley, J., Tout, C.A., Aarseth, S.J. & Pols, O.R. 2001, MNRAS, 323, 630 CrossRefGoogle Scholar
Hut, P. 1981, A&A, 99, 126 Google Scholar
Kozai, Y. 1962, AJ, 67, 591 CrossRefGoogle Scholar
Kroupa, P. 1998, MNRAS, 298, 231 CrossRefGoogle Scholar
Kustaanheimo, P. & Stiefel, E. 1965, J. Reine Angew. Math. 218, 204 CrossRefGoogle Scholar
Makino, J. 1991, PASJ, 43, 859 Google Scholar
Makino, J. & Ebisuzaki, T. 1996, ApJ, 465, 527 CrossRefGoogle Scholar
Mardling, R. & Aarseth, S. 1999, in The Dynamics of Small Bodies in the Solar System, ed. Steves, B.A. & Roy, A.E. (Dordrecht: Kluwer), 385 CrossRefGoogle Scholar
Mardling, R.A. & Aarseth, S.J. 2001, MNRAS, 321, 699 CrossRefGoogle Scholar
Mikkola, S. 1983, MNRAS, 203, 1107 CrossRefGoogle Scholar
Mikkola, S. & Aarseth, S.J. 1993, Celes. Mech. Dyn. Astron. 57, 439 CrossRefGoogle Scholar
Mikkola, S. & Aarseth, S.J. 1996, Celes. Mech. Dyn. Astron. 64, 197 CrossRefGoogle Scholar
Mikkola, S. & Aarseth, S.J. 1998, New Astron. 3, 309 CrossRefGoogle Scholar
Mikkola, S. & Aarseth, S.J. 2001, Celes. Mech. Dyn. Astron. submitted Google Scholar
Milosavljević, M. & Merritt, D. 2001, astro-ph/0103410 Google Scholar
Quinlan, G.D. & Hernquist, L. 1997, New Astron. 2, 533.CrossRefGoogle Scholar
Soffel, M.H. 1989, Relativity in Astrometry, Celestial Mechanics and Geodesy (Berlin: Springer), p. 141 CrossRefGoogle Scholar
Tout, C.A., Aarseth, S.J., Pols, O.R., & Eggleton, P.P. 1997, MNRAS, 291, 732 CrossRefGoogle Scholar