LEADER 03124nam 2200637 450 001 996466701703316 005 20220209152458.0 010 $a3-540-48009-9 024 7 $a10.1007/3-540-48009-9 035 $a(CKB)1000000000492283 035 $a(SSID)ssj0000320054 035 $a(PQKBManifestationID)11279028 035 $a(PQKBTitleCode)TC0000320054 035 $a(PQKBWorkID)10343268 035 $a(PQKB)11179733 035 $a(DE-He213)978-3-540-48009-9 035 $a(MiAaPQ)EBC3062446 035 $a(MiAaPQ)EBC6867330 035 $a(Au-PeEL)EBL6867330 035 $z(PPN)123720559 035 $a(PPN)155167677 035 $a(EXLCZ)991000000000492283 100 $a20220209d2002 uy 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt 182 $cc 183 $acr 200 00$aSingularities in gravitational systems $eapplications to chaotic transport in the solar system /$fDaniel Benest, Claude Froeschle? (editors) 205 $a1st ed. 2002. 210 1$aBerlin, Germany ;$aNew York, New York :$cSpringer-Verlag,$d[2002] 210 4$d©2002 215 $a1 online resource (XI, 216 p.) 225 1 $aLecture Notes in Physics,$x0075-8450 ;$v590 300 $aBibliographic Level Mode of Issuance: Monograph 311 $a3-540-43765-7 320 $aIncludes bibliographical references and index. 327 $aSingularities, 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. 330 $aChaos theory plays an important role in modern physics and related sciences, but -, the most important results so far have been obtained in the study of gravitational systems applied to celestial mechanics. The present set of lectures introduces the mathematical methods used in the theory of singularities in gravitational systems, reviews modeling techniques for the simulation of close encounters and presents the state of the art about the study of diffusion of comets, wandering asteroids, meteors and planetary ring particles. The book will be of use to researchers and graduate students alike. 410 0$aLecture Notes in Physics,$x0075-8450 ;$v590 606 $aCelestial mechanics 606 $aNaked singularities (Cosmology) 606 $aChaotic behavior in systems 615 0$aCelestial mechanics. 615 0$aNaked singularities (Cosmology) 615 0$aChaotic behavior in systems. 676 $a521 702 $aBenest$b Daniel 702 $aFroeschle?$b Claude 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a996466701703316 996 $aSingularities in gravitational systems$9377440 997 $aUNISA