000782135 000__ 03406cam\a2200505Ii\4500 000782135 001__ 782135 000782135 005__ 20230306143239.0 000782135 006__ m\\\\\o\\d\\\\\\\\ 000782135 007__ cr\cn\nnnunnun 000782135 008__ 170516s2017\\\\sz\a\\\\ob\\\\001\0\eng\d 000782135 019__ $$a987350799 000782135 020__ $$a9783319528991$$q(electronic book) 000782135 020__ $$a3319528998$$q(electronic book) 000782135 020__ $$z9783319528984 000782135 020__ $$z331952898X 000782135 035__ $$aSP(OCoLC)ocn987302273 000782135 035__ $$aSP(OCoLC)987302273$$z(OCoLC)987350799 000782135 040__ $$aN$T$$beng$$erda$$epn$$cN$T$$dGW5XE$$dEBLCP$$dYDX$$dN$T$$dOCLCF$$dUAB 000782135 0411_ $$aeng$$hfre 000782135 049__ $$aISEA 000782135 050_4 $$aQB362.T5 000782135 08204 $$a530.14$$223 000782135 1001_ $$aPoincaré, Henri,$$d1854-1912,$$eauthor. 000782135 24010 $$aSur le problème des trois corps et les équations de la dynamique.$$lEnglish 000782135 24514 $$aThe three-body problem and the equations of dynamics :$$bPoincaré's foundational work on dynamical systems theory /$$cHenri Poincaré (deceased) ; translated by Bruce D. Popp. 000782135 264_1 $$aCham, Switzerland :$$bSpringer,$$c2017. 000782135 300__ $$a1 online resource (xxii, 248 pages) :$$billustrations. 000782135 336__ $$atext$$btxt$$2rdacontent 000782135 337__ $$acomputer$$bc$$2rdamedia 000782135 338__ $$aonline resource$$bcr$$2rdacarrier 000782135 4901_ $$aAstrophysics and space science library ;$$v443 000782135 504__ $$aIncludes bibliographical references and indexes. 000782135 5050_ $$aTranslator's Preface; The Monograph; Errors and Typos; The Translation; References and Index; Notation; Section 4 of Chapter 2, Theorem III; Notable Concepts; Acknowledgements; Bibliography; Author's Preface; Contents; Review; 1 General Properties of the Differential Equations; 1 Notations and Definitions; 2 Calculation of Limits; 3 Application of the Calculation of Limits to Partial Differential Equations; 4 Integration of Linear Equations with Periodic Coefficients; 2 Theory of Integral Invariants; 1 Various Properties of the Equations of Dynamics; 2 Definitions of Integral Invariants 000782135 5058_ $$a3 Transformation of Integral Invariants4 Using Integral Invariants; 3 Theory of Periodic Solutions; 1 Existence of Periodic Solutions; 2 Characteristic Exponents; 3 Periodic Solutions of the Equations of Dynamics; 4 Calculation of the Characteristic Exponents; 5 Asymptotic Solutions; 6 Asymptotic Solutions of the Equations of Dynamics; Equations of Dynamics and the N-Body Problem; 4 Study of the Case with Only Two Degrees of Freedom; 1 Various Geometric Representations; 5 Study of the Asymptotic Surfaces; 1 Description of the Problem; 2 First Approximation; 3 Second Approximation 000782135 5058_ $$a4 Third Approximation6 Various Results; 1 Periodic Solutions of the Second Kind; 2 Divergence of Lindstedt's Series; 3 Nonexistence of One-to-One Integrals; 7 Attempts at Generalization; 1 The N-Body Problem; Erratum; Bibliography; Author Index; Subject Index 000782135 506__ $$aAccess limited to authorized users. 000782135 588__ $$aOnline resource; title from PDF title page (SpringerLink, viewed May 22, 2017). 000782135 650_0 $$aThree-body problem. 000782135 7001_ $$aPopp, Bruce D.,$$etranslator. 000782135 77608 $$iPrint version:$$z331952898X$$z9783319528984$$w(OCoLC)967540376 000782135 830_0 $$aAstrophysics and space science library ;$$v443. 000782135 852__ $$bebk 000782135 85640 $$3SpringerLink$$uhttps://univsouthin.idm.oclc.org/login?url=http://link.springer.com/10.1007/978-3-319-52899-1$$zOnline Access$$91397441.1 000782135 909CO $$ooai:library.usi.edu:782135$$pGLOBAL_SET 000782135 980__ $$aEBOOK 000782135 980__ $$aBIB 000782135 982__ $$aEbook 000782135 983__ $$aOnline 000782135 994__ $$a92$$bISE