--- res: bibo_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. @eng bibo_authorlist: - foaf_Person: foaf_givenName: Michael foaf_name: Dellnitz, Michael foaf_surname: Dellnitz - foaf_Person: foaf_givenName: Oliver foaf_name: Junge, Oliver foaf_surname: Junge - foaf_Person: foaf_givenName: Wang Sang foaf_name: Koon, Wang Sang foaf_surname: Koon - foaf_Person: foaf_givenName: Francois foaf_name: Lekien, Francois foaf_surname: Lekien - foaf_Person: foaf_givenName: Martin W. foaf_name: Lo, Martin W. foaf_surname: Lo - foaf_Person: foaf_givenName: Jerrold E. foaf_name: Marsden, Jerrold E. foaf_surname: Marsden - foaf_Person: foaf_givenName: Kathrin foaf_name: Padberg, Kathrin foaf_surname: Padberg - foaf_Person: foaf_givenName: Robert foaf_name: Preis, Robert foaf_surname: Preis - foaf_Person: foaf_givenName: Shane D. foaf_name: Ross, Shane D. foaf_surname: Ross - foaf_Person: foaf_givenName: Bianca foaf_name: Thiere, Bianca foaf_surname: Thiere bibo_doi: 10.1142/s0218127405012545 dct_date: 2005^xs_gYear dct_isPartOf: - http://id.crossref.org/issn/0218-1274 - http://id.crossref.org/issn/1793-6551 dct_language: eng dct_title: Transport in Dynamical Astronomy and Multibody Problems@ ...