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Elemental periodic orbits associated with the libration points in the circular restricted 3-body problem. (English) Zbl 1139.70006
Summary: We present an overview of detailed computational results for families of periodic orbits that emanate from the five libration points in circular restricted 3-body problem, as well as for various secondary bifurcating families. Our extensive overview covers all values of the mass-ratio parameter, and includes many known families that have been studied in the past. The numerical continuation and bifurcation algorithms employed in our study are based on boundary value techniques, as implemented in the numerical continuation and bifurcation software AUTO.
MSC:
70F07Three-body problems
70K42Equilibria and periodic trajectories (nonlinear dynamics)
70K50Transition to stochasticity (general mechanics)
70-08Computational methods (mechanics of particles and systems)