Transport of Mars-crossing asteroids from the quasi-Hilda region
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In: Physical Review Letters, Vol. 94, No. 23, 231102, 17.06.2005.
Research output: Journal contributions › Journal articles › Research › peer-review
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TY - JOUR
T1 - Transport of Mars-crossing asteroids from the quasi-Hilda region
AU - Dellnitz, Michael
AU - Junge, Oliver
AU - Lo, Martin W.
AU - Marsden, Jerrold E.
AU - Padberg, Kathrin
AU - Preis, Robert
AU - Ross, Shane D.
AU - Thiere, Bianca
N1 - ©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.
PY - 2005/6/17
Y1 - 2005/6/17
N2 - 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).
AB - 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).
KW - Mathematics
UR - http://www.scopus.com/inward/record.url?scp=27744479494&partnerID=8YFLogxK
UR - https://www.mendeley.com/catalogue/9e1e8d0b-51c8-3da0-9c96-173d61d4cd18/
U2 - 10.1103/PhysRevLett.94.231102
DO - 10.1103/PhysRevLett.94.231102
M3 - Journal articles
C2 - 16090456
AN - SCOPUS:27744479494
VL - 94
JO - Physical Review Letters
JF - Physical Review Letters
SN - 0031-9007
IS - 23
M1 - 231102
ER -