A Symplectic Integrator for Hill's Equations

Autor:	Quinn, T., Perrine, R. P., Richardson, D. C., Barnes, R.
Rok vydání:	2009
Předmět:	Astrophysics - Earth and Planetary Astrophysics
Druh dokumentu:	Working Paper
DOI:	10.1088/0004-6256/139/2/803
Popis:	Hill's equations are an approximation that is useful in a number of areas of astrophysics including planetary rings and planetesimal disks. We derive a symplectic method for integrating Hill's equations based on a generalized leapfrog. This method is implemented in the parallel N-body code, PKDGRAV and tested on some simple orbits. The method demonstrates a lack of secular changes in orbital elements, making it a very useful technique for integrating Hill's equations over many dynamical times. Furthermore, the method allows for efficient collision searching using linear extrapolation of particle positions. Comment: 15 pages, 2 figures; minor revisions; accepted for publication in the Astronomical Journal
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/0908.2269 Zobrazit plný text záznamu View this record from Arxiv