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Time-Symmetrized Kustaanheimo-Stiefel Regularization

Published online by Cambridge University Press:  25 May 2016

Yoko Funato
Affiliation:
University of Tokyo
Junichiro Makino
Affiliation:
University of Tokyo
Piet Hut
Affiliation:
Institute for Advanced Study
Steve McMillan
Affiliation:
Drexel University

Abstract

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In this paper, we show a new algorithm to integrate the orbits of binaries. Our new algorithm has the good properties of both symmetrized timesteps and KS regularization: (1) no secular error in either energy or angular momentum; (2) a constant number of timesteps per orbit for a binary with arbitrary eccentricity (Funato et al., 1995).

Type
Stellar Dynamics, Models
Copyright
Copyright © Kluwer 1996 

References

Aarseth, S. J., 1985, “Multiple Time Scales” Academic Press.Google Scholar
Funato, Y., Hut, P., McMillan, S., and Makino, J., 1995, AJ, submitted.Google Scholar
Hut, P., Makino, J., and McMillan, S.: 1995, ApJ Letter, 443, L9396.Google Scholar