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Scattered Disk Dynamics: The Mapping Approach
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We derive, and discuss the properties of, a symplectic map for the dynamics of bodies on nearly parabolic orbits. The orbits are perturbed by a planet on a circular, coplanar orbit interior to the pericenter of the parabolic orbit. The map shows excellent agreement with direct numerical integrations and elucidates how the dynamics depends on perturber mass and pericenter distance. We also use the map to explore the onset of chaos, statistical descriptions of chaotic transport, and sticking in mean-motion resonances. We discuss implications of our mapping model for the dynamical evolution of the solar system's scattered disk and other highly eccentric trans-Neptunian objects.
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Cited by 1 Pith paper
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An estimate of resident time of the Oort Cloud new comets in planetary region
Oort Cloud comets entering the planetary region typically survive about 10^8 years in the early solar system, while the Uranus-Neptune barrier blocks low-inclination comets.
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