A Comparison of the Hermite Individual Timestep and the Mixed Variable Symplectic Mapping Integration Schemes for Gravitational N--Body Simulations

Details A Comparison of the Hermite Individual Timestep and the Mixed Variable Symplectic Mapping Integration Schemes for Gravitational N--Body Simulations A Comparison of the Hermite Individual Timestep and the Mixed Variable Symplectic Mapping Integration Schemes for Gravitational N--Body Simulations

May 1998

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1998aps..oss..ca08s&link_type=abstract

American Physical Society, Ohio Section Spring Meeting, 1-2 May 1998 Muncie, Indiana, abstract #CA.08

Statistics

Computation

Scientific paper

During the past decade, two computational techniques to integrate the gravitational N-body problem have been developed and applied to problems in planetary formation and orbital evolution. These are the Hermite Individual Timestep (HITS) algorithm and the Mixed Variable Symplectic Map (MVS) algorithm. While the two techniques address the same general problem, they have been applied to very different specific cases. The HITS technique accurately follows the trajectory of a body during a close encounter or collision, and has been used in simulations of the late stage of planetary formation where these high perturbations to Keplerian motion are important. On the other hand, the MVS integrator has been developed to study the long term evolution of more isolated bodies that experience only small perturbations to their Keplerian orbits. Typically, MVS simulations can use a timestep that is roughly an order of magnitude greater than an equivalent HITS simulation. We have performed several simulations to compare the accuracy and speed of a HITS (Himburg and Alexander, 1998) integration with an MVS (Levison and Duncan, Swift MVS package,1994) integration of the same problem.

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