Symplectic integrators for trajectory simulations
Date
1999
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
Texas A&M University
Abstract
For Hamiltonians separable in the form H = T + V, the method of Creutz and Gocksch is used to construct even-order integrative that will preserve the invariants of motion. Several of these symplectic integrators of the same order are compared among themselves and to Runge-Kutta integrative as they are applied to the Kepler problem in celestial mechanics. Error terms indicative of the conservation laws inherent in the motion are derived and it is shown how they may be used to gauge the time- scale needed to achieve a desired precision from the computation. A new sixth- order symplectic integrator is discovered in which the energy error is two orders of magnitude less than existing sixth-order integrators.
Description
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Includes bibliographical references (leaves 34).
Issued also on microfiche from Lange Micrographics.
Includes bibliographical references (leaves 34).
Issued also on microfiche from Lange Micrographics.
Keywords
physics., Major physics.