Relativistic Pythagorean three-body problem

  title={Relativistic Pythagorean three-body problem},
  author={Tjarda Boekholt and Arend Moerman and Simon F. Portegies Zwart},
  journal={Physical Review D},
We study the influence of relativity on the chaotic properties and dynamical outcomes of an unstable triple system; the Pythagorean three-body problem. To this end, we extend the Brutus N-body code to include Post-Newtonian pairwise terms up to 2.5 order, and the first order Taylor expansion to the Einstein-Infeld-Hoffmann equations of motion. The degree to which our system is relativistic depends on the scaling of the total mass (the unit size was 1 parsec). Using the Brutus method of… 

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