# Global time-regularization of the gravitational N -body problem

@article{Antoana2020GlobalTO, title={Global time-regularization of the gravitational N -body problem}, author={Mikel Anto{\~n}ana and Patrick Chartier and Joseba Makazaga and A. Murua}, journal={arXiv: Dynamical Systems}, year={2020} }

This work considers the gravitational N-body problem and introduces time-reparametrization functions that allow to define globally solutions of the N-body equations. First, a lower bound of the radius of convergence of the solution to the original equations is derived, which suggests an appropriate time-reparametrization. In the new fictitious time τ , it is then proved that any solution exists for all τ ∈ R, and that it is uniquely extended as a holomorphic function to a strip of fixed width… CONTINUE READING

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