Title: Existence of either a periodic collisional orbit or infinitely many consecutive collision orbits in the planar circular restricted three-body problem,
Abstract: In the restricted three-body problem, consecutive collision orbits are those
orbits which start and end at collisions with one of the primaries. Interests
for such orbits arise not only from mathematics but also from various
engineering problems. In this article, using Floer homology, we show that there
are either a periodic collisional orbit, or infinitely many consecutive
collision orbits in the planar circular restricted three-body problem on each
bounded component of the energy hypersurface for Jacobi energy below the first
critical value.