[1003.5122] Symplectic Integration of Post-Newtonian Equations of Motion with Spin

Authors: Christian Lubich, Benny Walther, Bernd Bruegmann

Date: 26 Mar 2010

Abstract: We present a non-canonically symplectic integration scheme tailored to numerically computing the post-Newtonian motion of a spinning black-hole binary. Using a splitting approach we combine the flows of orbital and spin contributions. In the context of the splitting, it is possible to integrate the individual terms of the spin-orbit and spin-spin Hamiltonians analytically, exploiting the special structure of the underlying equations of motion. The outcome is a symplectic, time-reversible integrator, which can be raised to arbitrary order by composition. A fourth-order version is shown to give excellent behavior concerning error growth and conservation of energy and angular momentum in long-term simulations. Favorable properties of the integrator are retained in the presence of weak dissipative forces due to radiation damping in the full post-Newtonian equations.

abs pdf

Mar 31, 2010

1003.5122 (/preprints)
2010-03-31, 14:50 [edit]

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