Transport in dynamical astronomy and multibody problems
Transport in dynamical astronomy and multibody problems
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DOI：
10.1142/s0218127405012545
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发表时间：
2005-03-01
影响因子：
2.2
通讯作者：
Thiere, B
中科院分区：
文献类型：
--
作者：
Dellnitz, M;Junge, O;Thiere, B
我们结合联合收割机的几乎不变集的技术（使用树结构盒消除和图分割算法）与不变流形和叶动力学技术。其结果是一种新的计算技术，用于计算关键的动力学特征，包括几乎不变集，共振区域以及动力系统中区域之间的传输速率和瓶颈。这种方法可以应用于各种多体问题，包括分子建模，化学反应速率和动力学天文学。在本文中，我们专注于动力天文学的问题，以说明这些不同的数值工具和它们的适用性相结合的力量。特别是，我们计算运输率的两个共振区域的三体系统组成的太阳，木星和第三个机构（如小行星）。这些共振区适用于某些彗星和小行星。
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.