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Energy-minimal transfers in the vicinity of the lagrangian point $L_1$

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  • This article deals with the problem of computing energy-minimal trajectories between the invariant manifolds in the neighborhood of the equilibrium point $L_1$ of the restricted 3-body problem. Initializing a simple shooting method with solutions of the corresponding linear optimal control problem, we numerically compute energy-minimal extremals from the Pontryagin's Maximum principle, whose optimality is ensured thanks to the second order optimality condition.
    Mathematics Subject Classification: Primary: 49K15, 49M05; Secondary: 70F07.


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