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math.DS2017
Existence of either a periodic collisional orbit or infinitely many consecutive collision orbits in the planar circular restricted three-body problem
Urs Frauenfelder, Lei Zhao
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…
math.DS2017
A Note on the Passing Time of the Spherical Kepler Problem
Lei Zhao
In this note we collect some known facts concerning central projection correspondances and time parametrizations of Kepler problems in Euclidean spaces and on Spheres.