Some manifolds of periodic orbits in the restricted three-body problem

Mathematics

Scientific paper

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Manifolds (Mathematics), Orbit Calculation, Three Body Problem, Branching (Physics), Equations Of Motion, Lagrangian Equilibrium Points, Mass Ratios

Scientific paper

Numerical results are presented for natural families of periodic orbits, which emanate from limiting orbits around the equilateral equilibrium points of the restricted three-body problem, for the case of mass ratio greater than Routh's critical ratio. Attention is given to the mass ratio stability index of the limiting periodic orbits, and period-stability indices for natural families having various values of mu.

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