Design of a Mechanical N-body Integrator
نویسنده
چکیده
This document describes a gravitational N-body integration algorithm incorporating the following features: (1) it is exactly (neglecting rounding errors) time-reversible, (2) angular and linear momentum are conserved, (3) smooth switching functions are used to split potential terms into local and weak parts so that weaker long-range forces are evaluated relatively rarely and close interactions are identiied, (4) close approaches between bodies are resolved accurately , using an eecient integration method, (5) the stepsize varies automatically based on an appropriate Sundman time reparameter-ization. Although this method is formally second order, the most intensive computations (the close approach dynamics) are executed at higher order, thus improving the overall accuracy of the scheme.
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