Continuous and Discrete Concepts for Detecting Transport Barriers in the Planar Circular Restricted Three Body Problem
Publikation: Beiträge in Sammelwerken › Kapitel › begutachtet
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Continuous and Discrete Concepts for Detecting Transport Barriers in the Planar Circular Restricted Three Body Problem. / Dellnitz, Michael; Padberg, Kathrin; Preis, Robert et al.
Nonlinear Science and Complexity. Hrsg. / Tenreiro J. A. Machado; C.J. Albert Luo; S. Ramiro Barbosa; F. Manuel Silva; B. Lino Figueiredo. Dordrecht : Springer Netherlands, 2011. S. 99-105.Publikation: Beiträge in Sammelwerken › Kapitel › begutachtet
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TY - CHAP
T1 - Continuous and Discrete Concepts for Detecting Transport Barriers in the Planar Circular Restricted Three Body Problem
AU - Dellnitz, Michael
AU - Padberg, Kathrin
AU - Preis, Robert
AU - Thiere, Bianca
PY - 2011
Y1 - 2011
N2 - In the last two decades, the mathematical analysis of material transport has received considerable interest in many scientific fields, in particular in astrodynamics. In this contribution we will focus on the numerical detection and approximation of transport barriers in the solar system. For this we consider and combine several techniques for the mathematical treatment of transport processes—using both continuous concepts from dynamical systems theory and discrete ideas from graph theory. For the demonstration of our results we consider the planar circular restricted three body problem with Sun and Jupiter as primaries, a simple model for describing the motion of asteroids in the solar system.
AB - In the last two decades, the mathematical analysis of material transport has received considerable interest in many scientific fields, in particular in astrodynamics. In this contribution we will focus on the numerical detection and approximation of transport barriers in the solar system. For this we consider and combine several techniques for the mathematical treatment of transport processes—using both continuous concepts from dynamical systems theory and discrete ideas from graph theory. For the demonstration of our results we consider the planar circular restricted three body problem with Sun and Jupiter as primaries, a simple model for describing the motion of asteroids in the solar system.
KW - Mathematics
KW - Transport Barriers
KW - Dynamical Systems
KW - Almost invariant sets
KW - Invariant manifolds
KW - Expansion
UR - http://www.scopus.com/inward/record.url?scp=84895246623&partnerID=8YFLogxK
U2 - 10.1007/978-90-481-9884-9_12
DO - 10.1007/978-90-481-9884-9_12
M3 - Chapter
SN - 978-90-481-9883-2
SP - 99
EP - 105
BT - Nonlinear Science and Complexity
A2 - Machado, Tenreiro J. A.
A2 - Luo, C.J. Albert
A2 - Barbosa, S. Ramiro
A2 - Silva, F. Manuel
A2 - Figueiredo, B. Lino
PB - Springer Netherlands
CY - Dordrecht
ER -