Regular Algorithms for the Few-Body Problem
encounters of just two bodies. Most classical numerical integration methods lose precision for such situations due to the 1/r2 singularity of the mutual force of the two bodies. In a close encounter the relative motion of the participating bodies is so fast that, for a brief moment, the rest of the system can be considered frozen. Consequently, the most important feature of a regularizing algorithm must be that it can handle reliably the perturbed two-body problem. There are two basically different types of methods available: Coordinate and time transformations and algorithms that produce regular results without coordinate transformation.
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