Transport in dynamical astronomy and multibody problems

Publikation: Beiträge in ZeitschriftenZeitschriftenaufsätzeForschungbegutachtet

Authors

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

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.

OriginalspracheEnglisch
ZeitschriftInternational Journal of Bifurcation and Chaos in Applied Sciences and Engineering
Jahrgang15
Ausgabenummer3
Seiten (von - bis)699-727
Anzahl der Seiten29
ISSN0218-1274
DOIs
PublikationsstatusErschienen - 03.2005
Extern publiziertJa