A Time-Transformed Leapfrog Scheme

Details A Time-Transformed Leapfrog Scheme A Time-Transformed Leapfrog Scheme

Dec 2002

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2002cemda..84..343m&link_type=abstract

Celestial Mechanics and Dynamical Astronomy, v. 84, Issue 4, p. 343-354 (2002).

Astronomy and Astrophysics

Astronomy

28

Time Transformations, Second-Order Differential Equations, Composite Integration, N-Body Problem

Scientific paper

We present a time-transformed leapfrog scheme combined with the extrapolation method to construct an integrator for orbits in N-body systems with large mass ratios. The basic idea can be used to transform any second-order differential equation into a form which may allow more efficient numerical integration. When applied to gravitating few-body systems this formulation permits extremely close two-body encounters to be considered without significant loss of accuracy. The new scheme has been implemented in a direct N-body code for simulations of super-massive binaries in galactic nuclei. In this context relativistic effects may also be included.

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