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 JAMP  Vol.3 No.2 , February 2015
On the Semianalytical Two-Body Regularization in N-Body Simulations
Abstract: A two-body regularization for N-body problem based on perturbation theory for Keplerian problem is discussed. We provide analytical estimations of accuracy and conduct N-body experiments in order to compare it with state-of-the-art Hermite integrator. It is shown that this regularization keeps some features that allow overcoming KS-regularization in some particular cases.
Cite this paper: Chernyagin, S. and Lezhnin, K. (2015) On the Semianalytical Two-Body Regularization in N-Body Simulations. Journal of Applied Mathematics and Physics, 3, 124-129. doi: 10.4236/jamp.2015.32018.
References

[1]   Blinov, V.N. and Golo, V.L. (2012) Local Orientational Order in the Stockmayer Model. JETP Letters, 96, 475-479. http://dx.doi.org/10.1134/S0021364012190034

[2]   Dehnen, W. and Read, J.I. (2011) N-Body Simulations of Gravi-tational Dynamics. The European Physical Journal Plus, 126.

[3]   Sundman, K.F. (1912) Aсta Math., 36, 105.

[4]   Binney, J. and Tremaine, S. (2008) Galactic Dynamics. 2nd Edition, Princeton University Press, Princeton.

[5]   Dehnen, W. (2014) A Fast Multipole Method for Stellar Dynamics.

[6]   Kustaanheimo, P. and Stiefel, E. (1965) Perturbation Theory of Kepler Motion Based on Spinor Regularization. Crelles Journal, 1965, 204-219.

[7]   Mikkola, S. and Aarseth, S.J. (1993) An Implementation of N-Body Chain Regularization. Celestial Mechanics and Dynamical Astronomy, 57, 439-459. http://dx.doi.org/10.1007/BF00695714

[8]   Lezhnin, K.V. and Chernyagin, S.A. (2014) Using the Transition to Action Variables of the Newtonian Problem in the Numerical Solution of the N-Body Problem. Astronomy Letters, 40, 382-387. http://dx.doi.org/10.1134/S1063773714060036

 
 
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