The 1223 new periodic orbits of planar three-body problem with unequal mass and zero angular momentum

@article{Li2017The1N,
  title={The 1223 new periodic orbits of planar three-body problem with unequal mass and zero angular momentum},
  author={X. Li and Yipeng Jing and S. Liao},
  journal={arXiv: Chaotic Dynamics},
  year={2017}
}
  • X. Li, Yipeng Jing, S. Liao
  • Published 2017
  • Physics
  • arXiv: Chaotic Dynamics
  • We present 1349 families of Newtonian periodic planar three-body orbits with unequal mass and zero angular momentum and the initial conditions in case of isosceles collinear configurations. These 1349 families of the periodic collisionless orbits can be divided into seven classes according to their geometric and algebraic symmetries. Among these 1349 families, 1223 families are entirely new, to the best of our knowledge. Furthermore, some periodic orbits have the same free group element for… CONTINUE READING

    Figures and Tables from this paper.