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Keyword: symplectic algorithms ×Clear all

1 claim from 1 paper

1. Mathematics › Numerical methods for differential equations

   A Multiple Time Step Symplectic Algorithm for Integrating Close Encounters

   Duncan, Levison and Lee · The Astronomical Journal · 1998

   The authors present a symplectic algorithm that keeps the efficiency of mixed variable symplectic methods while also handling close encounters between bodies, and they test it.

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   1. UncheckedThe algorithm runs as fast as standard MVS methods when bodies are far apart, and subdivides the time step as needed when two bodies have a close encounter.“When the bodies are well separated, the algorithm has the speed of MVS methods, and whenever two bodies suffer a mutual encounter, the time step for the relevant bodies is recursively subdivided to whatever level is required.”