Forward Symplectic Integrators for Solving Gravitational Few-Body Problems |
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Authors: | Siu A Chin C R Chen |
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Institution: | (1) Center for Theoretical Physics, Department of Physics, Texas A & M University, College Station, TX, 77843 |
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Abstract: | 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. |
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Keywords: | symplectic integrators positive time steps three-body orbits long time simulations |
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