Abstract
We present a new method for fast numerical integration of close binaries inN-body systems. The basic idea is to slow down the motion of the binary artificially, which makes a faster numerical integration possible but still maintains correct treatment of secular and long-period effects on the motion. We discuss the general principle, with application to close binaries inN-body codes and in the chain regularization.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Aarseth, S. J.: 1985,Multiple Time Scales, J. U., Brackbill and B. I., Cohen (eds), (Academic Press, New York), 377
Aarseth, S. J.: 1994,Galactic Dynamics and N-Body Simulations, G., Contopoulos, N. K., Spyrou and L., Vlahos (eds), (Springer-Verlag), 277.
Aarseth, S. J.: 1996,Dynamical Evolution of Star Clusters, P., Hut and J., Makino (eds), (Kluwer Academic Publishers), in press
Aarseth, S. J. and Zare, K.: 1974,Celest. Mech.,10, 185.
Arnold, V. I. 1989,Mathematical Methods of Classical Mechanics, (Springer, New York), pp. 297–300.
Bulirsch, R. and Stoer, J.: 1966,Num. Math.,8. 1–13.
Heggie, D. C. and Aarseth, S. J.: 1992,Mon. Not. R. Astr Soc.,257, 513.
Kustaanheimo, P. and Stiefel, E.: 1965,J. Reine Angew. Math.,218, 204.
Makino, J.: 1991,Astrophys. J.,369, 200.
McMillan, S. L. W., Hut, P., and Makino, J.: 1990,Astrophys. J.,362, 522.
Mikkola, S.: 1983,Mon. Not. R. Astr Soc.,203, 1107.
Mikkola, S. and Aarseth, S. J.: 1990,Celest. Mech. Dyn. Astron.,47, 375.
Mikkola, S. and Aarseth, S. J.: 1993,Celest. Mech. Dyn. Astron.,57, 439.
Soffel, M. H.: 1989,Relativity in Astronometry, Celestial Mechanics and Geodesy, Springer-Berlin, p. 141.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Mikkola, S., Aarseth, S.J. A slow-down treatment for close binaries. Celestial Mech Dyn Astr 64, 197–208 (1996). https://doi.org/10.1007/BF00728347
Received:
Accepted:
Issue Date:
DOI: https://doi.org/10.1007/BF00728347