Doubly Asymptotic Orbits at the Unstable Equilibrium in the Elliptic Restricted Problem [chapter]

E. Perdios
1983 Astrophysics and Space Science Library  
Outgoing asymptotic orbits at a collinear Equilibrium point of the elliptic restricted three-body problem are constructed analytically and numerically and those which intersect perpendicularly the axis of symmetry are selected by means of a numerical procedure of differential corrections. Due to the symmetry properties of the problem, the latter orbits terminate asymptotically back to the equilibrium point and therefore provide a kind of "asymptotic trapping" at the unstable equilibrium, a
more » ... ing mechanism based on "long duration of passage" rather than stability of motion.
doi:10.1007/978-94-009-7214-8_37 fatcat:fqswoe5szbfwhhbvs23eipzn5m