Koon, W. S. and Lo, M. W. and Marsden, J. E. and Ross, S. D. (2001) Resonance and Capture of Jupiter Comets. Celestial Mechanics and Dynamical Astronomy, 81 (1-2). pp. 27-38. ISSN 0923-2958 http://resolver.caltech.edu/CaltechAUTHORS:20100820-074429026
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A number of Jupiter family comets such as Otermaand Gehrels 3make a rapid transition from heliocentric orbits outside the orbit of Jupiter to heliocentric orbits inside the orbit of Jupiter and vice versa. During this transition, the comet can be captured temporarily by Jupiter for one to several orbits around Jupiter. The interior heliocentric orbit is typically close to the 3:2 resonance while the exterior heliocentric orbit is near the 2:3 resonance. An important feature of the dynamics of these comets is that during the transition, the orbit passes close to the libration points L 1and L 2, two of the equilibrium points for the restricted three-body problem for the Sun-Jupiter system. Studying the libration point invariant manifold structures for L 1and L 2is a starting point for understanding the capture and resonance transition of these comets. For example, the recently discovered heteroclinic connection between pairs of unstable periodic orbits (one around the L 1and the other around L 2) implies a complicated dynamics for comets in a certain energy range. Furthermore, the stable and unstable invariant manifold lsquotubesrsquo associated to libration point periodic orbits, of which the heteroclinic connections are a part, are phase space conduits transporting material to and from Jupiter and between the interior and exterior of Jupiter's orbit.
|Additional Information:||© 2001 Kluwer Academic Publishers.|
|Subject Keywords:||comets, resonance, libration points, invariant manifolds, three-body problem|
|Usage Policy:||No commercial reproduction, distribution, display or performance rights in this work are provided.|
|Deposited By:||Ruth Sustaita|
|Deposited On:||20 Aug 2010 18:46|
|Last Modified:||26 Dec 2012 12:20|
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