Abstract
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 trapping mechanism based on “long duration of passage” rather than stability of motion.
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References
Bennett, A.: 1965, Icarus, 4, 177
Bennett, A.: 1966, in R.L. Duncombe and V.G. Szebehely (eds.), Methodsin Astrodynamics and Celestial Mechanics, Academic Press, New York, p. 101.
Deprit, A. and Henrard, J.: 1965, Astron. J., 70, 271
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© 1983 D. Reidel Publishing Company, Dordrecht, Holland
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Perdios, E. (1983). Doubly Asymptotic Orbits at the Unstable Equilibrium in the Elliptic Restricted Problem. In: Markellos, V.V., Kozai, Y. (eds) Dynamical Trapping and Evolution in the Solar System. Astrophysics and Space Science Library, vol 106. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-7214-8_37
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DOI: https://doi.org/10.1007/978-94-009-7214-8_37
Publisher Name: Springer, Dordrecht
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