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

has been cited by the following article:

• TITLE: On the Semianalytical Two-Body Regularization in N-Body Simulations

  AUTHORS: Sergey Chernyagin, Kirill Lezhnin

  KEYWORDS: N-Body Problem, Numerical Simulations

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.3 No.2, January 30, 2015

  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.