Symplectic integrators for long-term integrations in celestial mechanics |
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| Authors: | Brett Gladman Martin Duncan Jeff Candy |
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| Institution: | (1) Astronomy Group, Dept. of Physics, Queen's University, K7L 3N6 Kingston, ON, Canada;(2) Dept. of Physics, University of Alberta, T6G 2J1 Edmonton, AB, Canada |
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| Abstract: | We discuss the use of symplectic integration algorithms in long-term integrations in the field of celestial mechanics. The methods' advantages and disadvantages (with respect to more common integration methods) are discussed. The numerical performance of the algorithms is evaluated using the 2-body and circular restricted 3-body problems. Symplectic integration methods have the advantages of linear phase error growth in the 2-body problem (unlike most other methods), good conservation of the integrals of the motion, good performance for moderately eccentric orbits, and ease of use. Its disadvantages include a relatively large number of force evaluations and an inability to continuously vary the step size. |
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| Keywords: | Symplectic integration numerical integration |
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