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• W3099259028 abstract "It has previously been shown that varying the numerical timestep during a symplectic orbital integration leads to a random walk in energy and angular momentum, destroying the phase space-conserving property of symplectic integrators. Here we show that when altering the timestep symplectic correctors can be used to reduce this error to a negligible level. Furthermore, these correctors can also be employed to avoid a large error introduction when changing the Hamiltonian's partitioning. We have constructed a numerical integrator using this technique that is nearly as accurate as widely used fixed-step routines. In addition, our algorithm is drastically faster for integrations of highly eccentricitic, large semimajor axis orbits, such as those found in the Oort Cloud." @default.
• W3099259028 created "2020-11-23" @default.
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• W3099259028 date "2010-12-06" @default.
• W3099259028 modified "2023-09-27" @default.
• W3099259028 title "DECREASING COMPUTING TIME WITH SYMPLECTIC CORRECTORS IN ADAPTIVE TIMESTEPPING ROUTINES" @default.
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• W3099259028 doi "https://doi.org/10.1088/0004-6256/141/1/3" @default.
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