Explicit algorithmic regularization in the few-body problem for velocity-dependent perturbations

Details Explicit algorithmic regularization in the few-body problem for velocity-dependent perturbations Explicit algorithmic regularization in the few-body problem for velocity-dependent perturbations

Feb 2010

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2010cemda.106..143h&link_type=abstract

Celestial Mechanics and Dynamical Astronomy, Volume 106, Issue 2, pp.143-156

Astronomy and Astrophysics

Astronomy

1

Algorithmic Regularization, Extrapolation Methods, Auxiliary Velocity Algorithm (Ava), Bulirsch-Stoer

Scientific paper

A new algorithm is presented for the numerical integration of second-order ordinary differential equations with perturbations that depend on the first derivative of the dependent variables with respect to the independent variable; it is especially designed for few-body problems with velocity-dependent perturbations. The algorithm can be used within extrapolation methods for enhanced accuracy, and it is fully explicit, which makes it a competitive alternative to standard discretization methods.

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