Implementation of an efficient logarithmic-Hamiltonian three-body code



: Mikkola Seppo, Tanikawa Kiyotaka

Publisher: ELSEVIER

: 2013

: New Astronomy

: 20

: 38

: 41

: 4

: 1384-1076

DOI: https://doi.org/10.1016/j.newast.2012.09.004


The numerical integration of the gravitational few-body problem using
the logarithmic-Hamiltonian leapfrog algorithm has been found to produce
highly accurate results, especially when combined with the extrapolation
method. We describe in detail an implementation of the algorithm to the
three-body problem. The considered algorithm has proved itself in
numerous simulations and is believed to have led to one of the simplest
well working codes for the problem. The advantage of the present code is
its relative simplicity since no coordinate transformations are required
and therefore adaptations to special purposes are straightforward.



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