03124nam 2200637 450 99646670170331620220209152458.03-540-48009-910.1007/3-540-48009-9(CKB)1000000000492283(SSID)ssj0000320054(PQKBManifestationID)11279028(PQKBTitleCode)TC0000320054(PQKBWorkID)10343268(PQKB)11179733(DE-He213)978-3-540-48009-9(MiAaPQ)EBC3062446(MiAaPQ)EBC6867330(Au-PeEL)EBL6867330(PPN)123720559(PPN)155167677(EXLCZ)99100000000049228320220209d2002 uy 0engurnn|008mamaatxtccrSingularities in gravitational systems applications to chaotic transport in the solar system /Daniel Benest, Claude Froeschlé (editors)1st ed. 2002.Berlin, Germany ;New York, New York :Springer-Verlag,[2002]©20021 online resource (XI, 216 p.) Lecture Notes in Physics,0075-8450 ;590Bibliographic Level Mode of Issuance: Monograph3-540-43765-7 Includes bibliographical references and index.Singularities, Collisions and Regularization Theory -- The Levi-Civita, KS and Radial-Inversion Regularizing Transformations -- The Birkhoff and B 3 Regularizing Transformations -- Perturbative Methods in Regularization Theory -- Collisions and Singularities in the n-body Problem -- Triple Collision and Close Triple Encounters -- Dynamical and Kinetic Aspects of Collisions -- Chaotic Scattering in Planetary Rings -- Close Encounters in Öpik’s Theory -- Generalized Averaging Principle and Proper Elements for NEAs.Chaos theory plays an important role in modern physics and related sciences, but -, the most important results so far have been obtained in the study of gravitational systems applied to celestial mechanics. The present set of lectures introduces the mathematical methods used in the theory of singularities in gravitational systems, reviews modeling techniques for the simulation of close encounters and presents the state of the art about the study of diffusion of comets, wandering asteroids, meteors and planetary ring particles. The book will be of use to researchers and graduate students alike.Lecture Notes in Physics,0075-8450 ;590Celestial mechanicsNaked singularities (Cosmology)Chaotic behavior in systemsCelestial mechanics.Naked singularities (Cosmology)Chaotic behavior in systems.521Benest DanielFroeschlé ClaudeMiAaPQMiAaPQMiAaPQBOOK996466701703316Singularities in gravitational systems377440UNISA