A regularization of multiple encounters in gravitational n-body problems

Details A regularization of multiple encounters in gravitational n-body problems A regularization of multiple encounters in gravitational n-body problems

Oct 1974

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1974cemec..10..207z&link_type=abstract

Celestial Mechanics, vol. 10, Oct. 1974, p. 207-215.

Mathematics

15

Gravitational Effects, Inertial Reference Systems, Many Body Problem, Particle Collisions, Celestial Mechanics, Equations Of Motion, Matrices (Mathematics), Transformations (Mathematics)

Scientific paper

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

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