Transversal ejection-collision orbits for the restricted problem and the Hill's problem with applications
The goal of the paper is to show that the restricted problem and Hill's problem have transversal ejection-collision orbits. In a previous paper by the second author and \textit{A. J. Martinez} [Celestial Mech. 35, 113--128 (1985; Zbl 0572.70006)] was proved that the restricted problem has ejection-collision orbits. Here it is proved that these orbits are transversal for the restricted problem. The existence of transversal ejection-collision orbits for the Hill's problem is shown numerically. As an application of the existence of transversal ejection-collision orbits it is shown that the restricted problem and Hill's problem have no \(C^1\)-extendable regular integrals.
scientific article; zbMATH DE number 4081012