Forward Symplectic Integrators for Solving Gravitational Few-Body Problems

Simple item page
dc.creatorChin, Siu A.
dc.creatorChen, C. R.
dc.date2003-04-11
dc.date.accessioned2026-07-07T02:08:15Z
dc.date.available2026-07-07T02:08:15Z
dc.descriptionWe introduce a class of fourth order symplectic algorithms that are ideal for doing long time integration of gravitational few-body problems. These algorithms have only positive time steps, but require computing the force gradient in additional to the force. We demonstrate the efficiency of these Forward Symplectic Integrators by solving the circularly restricted three-body problem in the space-fixed frame where the force on the third body is explicitly time-dependent. These algorithms can achieve accuracy of Runge-Kutta, backward time step and corrector symplectic algorithms at step sizes five to ten times as large.
dc.description21 pages, 10 figures, use aastex; submitted to The Astronomical Journal
dc.identifierhttps://arxiv.org/abs/astro-ph/0304223
dc.identifierhttp://arxiv.org/abs/astro-ph/0304223
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/5968
dc.subjectAstrophysics
dc.subjectComputational Physics
dc.titleForward Symplectic Integrators for Solving Gravitational Few-Body Problems
dc.typetext

Files

Collections

arXiv