Transport of Mars-crossing asteroids from the quasi-Hilda region

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  • Michael Dellnitz
  • Oliver Junge
  • Martin W. Lo
  • Jerrold E. Marsden
  • Kathrin Padberg
  • Robert Preis
  • Shane D. Ross
  • Bianca Thiere

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 32 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).

Original languageEnglish
Article number231102
JournalPhysical Review Letters
Issue number23
Publication statusPublished - 17.06.2005
Externally publishedYes

Bibliographical note

©2005 The American Physical Society (Received 30 September 2004; published 16 June 2005) This research was partly supported by the DAAD, the DFG Priority Program 1095, the NSF-ITR Grant No. ACI-0204932, Grant No. NSF-DMS 0402842, the Max Planck Society, and the California Institute of Technology President's Fund. This work was carried out in part at the Jet Propulsion Laboratory and California Institute of Technology under a contract with National Aeronautics and Space Administration.