Three-dimensional bifurcations of periodic solutions around the triangular equilibrium points of the restricted three-body problem

Statistics – Computation

Scientific paper

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Branching (Mathematics), Lagrangian Equilibrium Points, Orbital Mechanics, Three Body Problem, Computational Astrophysics, Orbit Calculation, Three Dimensional Models

Scientific paper

Vertically critical, planar periodic solutions around the triangular equilibrium points of the restricted three-body problem are found to exist for values of the mass parameter in the interval (0.03, 0.5). Four series of such solutions are computed. The families of three-dimensional periodic solutions that branch off these critical orbits are computed for mu = 0.3 and are continued till their end. All orbits of these families are unstable.

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