We study ejection–collision (EC) solutions of the Parabolic Restricted Three-Body Problem, that is, solutions that tend to one of the main bodies when \(t\rightarrow \pm \infty \) . This particular type of orbits describes the motion of a particle of infinitesimal mass that is ejected by one of the primaries and collides with the same one or the other primary. We use the Levi-Civita regularization method to compute families of EC orbits for different values of the initial value of the Jacobi function, namely, \(C_0\) , which is not constant. We also examine whether the ejection orbits end up captured around a primary or escape by controlling the evolution of the topology of the Hill’s regions with time. We show numerically that for sufficiently large values of \(C_0\) there always exist four EC orbits starting and ending at the same primary, as in the case of the Circular Restricted Three-Body Problem. In addition, we observe that this remains true for any initial position of the primaries along their parabolic orbits. Finally, we also compute some families of ejection–collision orbits between the two primaries.
