{"product_id":"instabilities-in-dynamical-systems-applications-to-celestial-mechanics-9789400994256","title":"Instabilities in Dynamical Systems: Applications to Celestial Mechanics","description":"\u003cp\u003e • Author(s): V. G. Szebehely\u003cbr\u003e • Publisher: Springer\u003cbr\u003e • Publisher Imprint: Springer\u003cbr\u003e • BISAC: Physics - Astrophysics\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\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","brand":"Springer","offers":[{"title":"Paperback","offer_id":45282946449559,"sku":"9789400994256","price":3639.0,"currency_code":"INR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0666\/3471\/1191\/files\/9789400994256.webp?v=1769303637","url":"https:\/\/atlanticbooks.com\/products\/instabilities-in-dynamical-systems-applications-to-celestial-mechanics-9789400994256","provider":"Atlantic Books","version":"1.0","type":"link"}