Astronomy and Astrophysics – Astronomy
Scientific paper
Mar 2005
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2005cemda..91..301c&link_type=abstract
Celestial Mechanics and Dynamical Astronomy, Volume 91, Issue 3-4, pp. 301-322
Astronomy and Astrophysics
Astronomy
14
Symplectic Integrators, Positive Time Steps, Three-Body Orbits, Long Time Simulations
Scientific paper
We introduce a class of fourth order symplectic algorithms that are ideal for doing long time integration of gravitational few-body problems. These algorithms have only positive time steps, but require computing the force gradient in addition to the force. We demonstrate the efficiency of these Forward Symplectic Integrators by solving the circular restricted three-body problem in the space-fixed frame where the force on the third body is explicitly time-dependent. These algorithms can achieve accuracy of Runge Kutta, conventional negative time step symplectic and corrector symplectic algorithms at step sizes five to ten times as large.
Chen Chuan-Ren
Chin Siu A.
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