A Generic Property of the Bounded Syzygy Solutions

نویسندگان

  • FLORIN N. DIACU
  • George G. Papanicolaou
  • F. N. DIACU
چکیده

For a set of masses having positive measure, excepting eventually a negligible set of initial conditions, every noncollinear bounded solution of the planar three-body problem that has a syzygy configuration encounters an infinity of such configurations. Along a noncollinear syzygy solution, the set of syzygy configuration instants is discrete.

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تاریخ انتشار 2008