Transport in dynamical astronomy and multibody problems

Publikation: Beiträge in ZeitschriftenZeitschriftenaufsätzeForschungbegutachtet

Standard

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 ZeitschriftenZeitschriftenaufsätzeForschungbegutachtet

Harvard

Dellnitz, M, Junge, O, Koon, WS, Lekien, F, Lo, MW, Marsden, JE, Padberg, K, Preis, R, Ross, SD & Thiere, B 2005, 'Transport in dynamical astronomy and multibody problems', International Journal of Bifurcation and Chaos in Applied Sciences and Engineering, Jg. 15, Nr. 3, S. 699-727. https://doi.org/10.1142/S0218127405012545

APA

Dellnitz, M., Junge, O., Koon, W. S., Lekien, F., Lo, M. W., Marsden, J. E., Padberg, K., Preis, R., Ross, S. D., & Thiere, B. (2005). Transport in dynamical astronomy and multibody problems. International Journal of Bifurcation and Chaos in Applied Sciences and Engineering, 15(3), 699-727. https://doi.org/10.1142/S0218127405012545

Vancouver

Dellnitz M, Junge O, Koon WS, Lekien F, Lo MW, Marsden JE et al. Transport in dynamical astronomy and multibody problems. International Journal of Bifurcation and Chaos in Applied Sciences and Engineering. 2005 Mär;15(3):699-727. doi: 10.1142/S0218127405012545

Bibtex

@article{7441fc70b4084800ac9994d9f7218d40,
title = "Transport in dynamical astronomy and multibody problems",
abstract = "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.",
keywords = "Almost invariant sets, Dynamical systems, Graph partitioning, Invariant manifolds, Lobe dynamics, Set-oriented methods, Three-body problem, Transport rates, Mathematics",
author = "Michael Dellnitz and Oliver Junge and Koon, {Wang Sang} and Francois Lekien and Lo, {Martin W.} and Marsden, {Jerrold E.} and Kathrin Padberg and Robert Preis and Ross, {Shane D.} and Bianca Thiere",
note = "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{\textquoteright}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.",
year = "2005",
month = mar,
doi = "10.1142/S0218127405012545",
language = "English",
volume = "15",
pages = "699--727",
journal = "International Journal of Bifurcation and Chaos in Applied Sciences and Engineering",
issn = "0218-1274",
publisher = "World Scientific Publishing Co. Pte Ltd",
number = "3",

}

RIS

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 -