Corpus ID: 209862386

Global time-regularization of the gravitational N -body problem

  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},
  • Mikel Antoñana, Patrick Chartier, +1 author A. Murua
  • Published 2020
  • Mathematics, Physics
  • arXiv: Dynamical Systems
  • 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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