Abstract
The aim of this study is to construct coordinate transforms that regularize the singularities of simultaneous binary collisions in the Newtonian gravitational systems. Explicit regularization transforms are introduced for a pair of decoupled Kepler problems, a restricted collinear four-body problem, and the collinear four-body problem. This is the first time such transforms are produced for collisions involving more than one colliding pairs in the study of the Newtonian gravitational systems.
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