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A regularization of multiple encounters in gravitationalN-body problems

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Abstract

A method is introduced to regularize binary collisions between one of the bodies and any number of other bodies in the three-dimensional problem ofn-bodies. The coordinates are first transformed from an inertial system to a system relative to one of the bodies. The KS dependent variable transformation and a new independent variable transformation are introduced for the regularization.

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Zare, K. A regularization of multiple encounters in gravitationalN-body problems. Celestial Mechanics 10, 207–215 (1974). https://doi.org/10.1007/BF01227620

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  • DOI: https://doi.org/10.1007/BF01227620

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