Transversal ejection-collision orbits in Hill's problem forC≫1

Details Transversal ejection-collision orbits in Hill's problem forC≫1 Transversal ejection-collision orbits in Hill's problem forC≫1

Sep 1988

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1988cemec..44..299f&link_type=abstract

Celestial Mechanics, Volume 44, Issue 3, pp.299-307

Physics

Scientific paper

In a recent paper [3], Lacomba and Llibre showed numerically the existence of two transversal ejection-collision orbits in Hill's problem for a valueC=5 of the Jacobian constant. This result can be used to prove the non-existence ofC 1-extendable regular integrals for Hill's problem. Here we give an analytic proof of the existence of four ejection-collision orbits which are transversal for large enough values ofC.

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