Transport in dynamical astronomy and multibody problems
Publikation: Beiträge in Zeitschriften › Zeitschriftenaufsätze › Forschung › begutachtet
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Transport in dynamical astronomy and multibody problems. / Dellnitz, Michael; Junge, Oliver; Koon, Wang Sang et al.
in: International Journal of Bifurcation and Chaos in Applied Sciences and Engineering, Jahrgang 15, Nr. 3, 03.2005, S. 699-727.Publikation: Beiträge in Zeitschriften › Zeitschriftenaufsätze › Forschung › begutachtet
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TY - JOUR
T1 - Transport in dynamical astronomy and multibody problems
AU - Dellnitz, Michael
AU - Junge, Oliver
AU - Koon, Wang Sang
AU - Lekien, Francois
AU - Lo, Martin W.
AU - Marsden, Jerrold E.
AU - Padberg, Kathrin
AU - Preis, Robert
AU - Ross, Shane D.
AU - Thiere, Bianca
N1 - Funding Information: This research was partly supported by the DAAD, DFG Priority Program 1095, NSF-ITR grant ACI-0204932, a Max Planck Research Award 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 - 2005/3
Y1 - 2005/3
N2 - We combine the techniques of almost invariant sets (using tree structured box elimination and graph partitioning algorithms) with invariant manifold and lobe dynamics techniques. The result is a new computational technique for computing key dynamical features, including almost invariant sets, resonance regions as well as transport rates and bottlenecks between regions in dynamical systems. This methodology can be applied to a variety of multibody problems, including those in molecular modeling, chemical reaction rates and dynamical astronomy. In this paper we focus on problems in dynamical astronomy to illustrate the power of the combination of these different numerical tools and their applicability. In particular, we compute transport rates between two resonance regions for the three-body system consisting of the Sun, Jupiter and a third body (such as an asteroid). These resonance regions are appropriate for certain comets and asteroids.
AB - We combine the techniques of almost invariant sets (using tree structured box elimination and graph partitioning algorithms) with invariant manifold and lobe dynamics techniques. The result is a new computational technique for computing key dynamical features, including almost invariant sets, resonance regions as well as transport rates and bottlenecks between regions in dynamical systems. This methodology can be applied to a variety of multibody problems, including those in molecular modeling, chemical reaction rates and dynamical astronomy. In this paper we focus on problems in dynamical astronomy to illustrate the power of the combination of these different numerical tools and their applicability. In particular, we compute transport rates between two resonance regions for the three-body system consisting of the Sun, Jupiter and a third body (such as an asteroid). These resonance regions are appropriate for certain comets and asteroids.
KW - Almost invariant sets
KW - Dynamical systems
KW - Graph partitioning
KW - Invariant manifolds
KW - Lobe dynamics
KW - Set-oriented methods
KW - Three-body problem
KW - Transport rates
KW - Mathematics
UR - http://www.scopus.com/inward/record.url?scp=21144448603&partnerID=8YFLogxK
U2 - 10.1142/S0218127405012545
DO - 10.1142/S0218127405012545
M3 - Journal articles
AN - SCOPUS:21144448603
VL - 15
SP - 699
EP - 727
JO - International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
JF - International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
SN - 0218-1274
IS - 3
ER -