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Chaos in the Outer Solar System

Babich, D. (2010) Chaos in the Outer Solar System. In: Physics and astrophysics of planetary systems. EAS publications series. No.41. EDP Sciences , Les Ulis, pp. 379-382. ISBN 978-2-7598-0490-0.

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We study the effect of a perturber on the energy and angular momentum of a test particle on a highly eccentric orbit. We find that both the energy and angular momentum of the test particle are adiabatic invariants when the perturber is on a circular orbit with radius much smaller than the periaps of the test particle. We derive analytical expression for the energy change, or kick, of the test particle with every periaps passage. Using this kick function we formulate mapping for the highly eccentric test particle. We also analyze the stability of resonances and find conditions for asymmetric libration to occur. The resonance widths for highly eccentric orbits are calculated and the criterion for the onset of global chaos is determined.

Item Type:Book Section
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Additional Information:© 2010 EAS, EDP Sciences. Published online 08 January 2010.
Series Name:EAS publications series
Issue or Number:41
Record Number:CaltechAUTHORS:20100810-090016276
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:19363
Deposited By: Tony Diaz
Deposited On:10 Aug 2010 23:32
Last Modified:03 Oct 2019 01:55

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