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APS » Journals » Phys. Rev. Lett. » Volume 94 » Issue 23
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Phys. Rev. Lett. 94, 231102 (2005) [4 pages]

Transport of Mars-Crossing Asteroids from the Quasi-Hilda Region

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Michael Dellnitz1, Oliver Junge1, Martin W. Lo2, Jerrold E. Marsden3, Kathrin Padberg1, Robert Preis1, Shane D. Ross4, and Bianca Thiere1
1Faculty of Computer Science, Electrical Engineering and Mathematics, University of Paderborn, D-33095 Paderborn, Germany
2Navigation and Mission Design, Jet Propulsion Laboratory, California Institute of Technology, M/S 301-140L, 4800 Oak Grove Drive, Pasadena, California 91109, USA
3Control and Dynamical Systems, California Institute of Technology, MC 107-81, Pasadena, California 91125, USA
4Department of Aerospace and Mechanical Engineering, University of Southern California, Los Angeles, California 90089, USA

Received 30 September 2004; published 16 June 2005

We employ set oriented methods in combination with graph partitioning algorithms to identify key dynamical regions in the Sun-Jupiter-particle three-body system. Transport rates from a region near the 3∶2 Hilda resonance into the realm of orbits crossing Mars’ orbit are computed. In contrast to common numerical approaches, our technique does not depend on single long term simulations of the underlying model. Thus, our statistical results are particularly reliable since they are not affected by a dynamical behavior which is almost nonergodic (i.e., dominated by strongly almost invariant sets).

© 2005 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.94.231102
DOI:
10.1103/PhysRevLett.94.231102
PACS:
95.10.Ce, 95.10.Fh, 96.30.Ys
 
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