We describe in this paper how to compute special orbits of the three-body-problem which transit from a region which is internal to the secondary mass to the region which is external to the binary system, by using a recent variant of the Fast Lyapunov Indicator method. The orbits are obtained by slightly changing the initial conditions of orbits which are heteroclinic to Lyapunov orbits of the Lagrangian equilibrium points L1 and L2 of the restricted three-body-problem.
COMPUTATION OF TRANSIT ORBITS IN THE THREE-BODY-PROBLEM WITH FAST LYAPUNOV INDICATORS
Guzzo Massimiliano
;
2017
Abstract
We describe in this paper how to compute special orbits of the three-body-problem which transit from a region which is internal to the secondary mass to the region which is external to the binary system, by using a recent variant of the Fast Lyapunov Indicator method. The orbits are obtained by slightly changing the initial conditions of orbits which are heteroclinic to Lyapunov orbits of the Lagrangian equilibrium points L1 and L2 of the restricted three-body-problem.
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