We prove the existence of transversal homoclinic points in the collinear three-body problem, restricted and general, and in the planar circular restricted three-body problem. As a consequence the shift of Bernoulli is proved to be included as a subsystem of a suitable section of the flow for the three cases studied. Then the existence of all the possible types of final evolution follows. © 1980, All rights reserved.
|Journal||Journal of Differential Equations|
|Publication status||Published - 1 Jan 1980|