{"product_id":"instabilities-in-dynamical-systems-applications-to-celestial-mechanics-von-v-g-szebehely-hrsg","title":"Instabilities in Dynamical Systems","description":"\u003cp\u003eix List of Speakers and Participants xi Group Photograph xviii Greetings by B. Garfinkel, A. E. Roy and P. J. Message xix Introduction xxiii PART I: FUNDAMENTAL CONSIDERATIONS OF STABILITY R. BROUCKE\/Simple Non-Integrable Systems with Two Degrees of Freedom 3 G. CONTOPOULOS\/lnstabilities in Systems of Three Degrees of Freedom 25 R. W. EASTON\/Perturbed Twist Maps, Homoclinic Points and Ergodic Zones 41 O. GUREL\/Bifurcation Theory and its Applications V. SZEBEHELY\/General Considerations of Stability in 49 61 Celestial Mechanics PART II: ASPECTS OF NUMERICAL ANALYSIS AND STATISTICAL MECHANICS S. J. AARSETH\/An N-Body Integration Method in Co-Moving Coordinates 69 J. BAUMGARTE\/The General Theory of Conservative Stabilization of the Keplerian Problem 81 C. DEWITT-MORETTE \/Celestial Mechanics, Quantum Mechanics, and Path Integration 95 G. C. STEY\/Statistical Viewpoint in Classical Mechanics 103 PART III: STABILITY OF PLANETARY SYSTEMS ~ C. FROESCHLE and H. SCHOLL\/Evolution of Orbits in the Outer Part of the Asteroidal Belt and in the Kirkwood Gaps as Influenced by the Mass Effects of Saturn and Jupiter 115 v TABLE OF CONTENTS vi B. GARFINKEL\/On the Stability of Resonant Motion in 121 the Light of the Regularizing Function 129 P. GOLDREICH\/The Rings of Saturn and Uranus J. D. HADJIDEMETRIOU\/Instabilities in Periodic 135 Planetary-Type Orbits P. J. MESSAGE\/Bounds on Secular Terms in Celestial 165 Mechanics A. E. ROY\/Empirical Stability Criteria in the 177 Many-Body Problem R. O. VICENTE\/Instabilities in Planetary Systems 211 PART IV: THE PROBLEM OF THREE BODIES H.\u003c\/p\u003e\u003cdiv class=\"aw-variant-hidden-subtitle-div\" id=\"aw-variant-subtitle-9789400994256\"\u003e\u003ch3\u003eApplications to Celestial Mechanics\u003c\/h3\u003e\u003c\/div\u003e","brand":"Libri","offers":[{"title":"Softcover - 9789400994256","offer_id":39452428107869,"sku":"9789400994256","price":53.49,"currency_code":"EUR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0940\/0622\/files\/339d9089-0164-42a6-8452-57c1b9565638.jpg?v=1775281681","url":"https:\/\/shop.autorenwelt.de\/en\/products\/instabilities-in-dynamical-systems-applications-to-celestial-mechanics-von-v-g-szebehely-hrsg","provider":"Autorenwelt Shop","version":"1.0","type":"link"}