Decreasing Computing Time with Symplectic Correctors in Adaptive Timestepping Routines - Astrophysics > Instrumentation and Methods for AstrophysicsReport as inadecuate




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Abstract: It has previously been shown that varying the numerical timestep during asymplectic orbital integration leads to a random walk in energy and angularmomentum, destroying the phase space-conserving property of symplecticintegrators. Here we show that when altering the timestep symplectic correctorscan be used to reduce this error to a negligible level. Furthermore, thesecorrectors can also be employed to avoid a large error introduction whenchanging the Hamiltonian-s partitioning. We have constructed a numericalintegrator using this technique that is nearly as accurate as widely usedfixed-step routines. In addition, our algorithm is drastically faster forintegrations of highly eccentricitic, large semimajor axis orbits, such asthose found in the Oort Cloud.



Author: Nathan A. Kaib, Thomas Quinn, Ramon Brasser

Source: https://arxiv.org/







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