Abstract
In a recent paper [3], Lacomba and Llibre showed numerically the existence of two transversal ejection-collision orbits in Hill's problem for a valueC=5 of the Jacobian constant. This result can be used to prove the non-existence ofC 1-extendable regular integrals for Hill's problem. Here we give an analytic proof of the existence of four ejection-collision orbits which are transversal for large enough values ofC.
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References
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Fernández, J.D. Transversal ejection-collision orbits in Hill's problem forC≫1. Celestial Mechanics 44, 299–307 (1988). https://doi.org/10.1007/BF01235542
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DOI: https://doi.org/10.1007/BF01235542