Advanced Symplectic Integration of Collisional N-body Systems

Details Advanced Symplectic Integration of Collisional N-body Systems Advanced Symplectic Integration of Collisional N-body Systems

Sep 1999

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1999dda....31.0302r&link_type=abstract

American Astronomical Society, DDA meeting #31, #03.02

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We examine the utility of several variations of the Kepler mapping of Wisdom & Holman (1991) combined with the potential-splitting modifications of Duncan, Levison & Lee (1998), which has shown great promise as an efficient, symplectic method for the integration of nearly-Keplerian systems undergoing dynamically-important close encounters. The relevance of factors such as coordinate system, use of symplectic correctors, and time-regularization are discussed. We have developed a new symplectic close encounter code incorporating these and other elements. We use the scattering of planetesimals by the giant planets to demonstrate the speed and versatility of our algorithms.

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