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Families of relative periodic orbits in the planar three-body problem via consecutive alignments

Gimeno, Joan et al.
arXiv (All) · Papers
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classical-physicsdynamical-systemsearth-and-planetary-astrophysicsmathematical-physicsnumerical-analysis
Relative periodic orbits (RPOs) are solutions of the three-body problem that are periodic in a uniformly rotating reference frame and, in general, quasi-periodic in inertial coordinates. We present a numerical procedure for computing and continuing one-parameter families of RPOs of the planar Newton
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