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Transport and invariant manifolds near L3 in the Earth-Moon Bicircular model

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This paper focuses on the role of $\mathrm{L}_3$ to organise trajectories for a particle going from Earth to Moon and viceversa, and entering or leaving the Earth-Moon system. As a first model, we have considered the planar Bicircular problem to account for the gravitational effect of the Sun on the particle. The first step has been to compute a family of hyperbolic quasi-periodic orbits near $\mathrm{L}_3$. Then, the computation of their stable and unstable manifolds provides connections between Earth and Moon, and also generates trajectories that enter and leave the Earth-Moon system. Finally, by means of numerical simulations based on the JPL ephemeris we show that these connections can guide the journey of lunar ejecta towards the Earth.

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Communications In Nonlinear Science And Numerical Simulation, 2020, vol. 89

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Articles publicats en revistes (Matemàtiques i Informàtica)

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Transport and invariant manifolds near L3 in the Earth-Moon Bicircular model