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010   $a3-319-52899-8
024 7 $a10.1007/978-3-319-52899-1
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035   $a(DE-He213)978-3-319-52899-1
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035   $a(PPN)201471620
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100   $a20170512d2017      u|         0
101 0 $aeng
135   $aurnn|008mamaa
181   $ctxt$2rdacontent
182   $cc$2rdamedia
183   $acr$2rdacarrier
200 14$aThe Three-Body Problem and the Equations of Dynamics $ePoincaré?s Foundational Work on Dynamical Systems Theory /$fby Henri Poincaré
205   $a1st ed. 2017.
210  1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2017.
215   $a1 online resource (XXII, 248 p. 9 illus.)
225 1 $aAstrophysics and Space Science Library,$x0067-0057 ;$v443
311   $a3-319-52898-X 
320   $aIncludes bibliographical references and indexes.
327   $aTranslator's Preface -- Author's Preface -- Part I. Review -- Chapter 1 General Properties of the Differential Equations -- Chapter 2 Theory of Integral Invariants -- Chapter 3 Theory of Periodic Solutions -- Part II. Equations of Dynamics and the N-Body Problem -- Chapter 4 Study of the Case with Only Two Degrees of Freedom -- Chapter 5 Study of the Asymptotic Surfaces -- Chapter 6 Various Results -- Chapter 7 Attempts at Generalization -- Erratum. References -- Index. .
330   $aHere is an accurate and readable translation of a seminal article by Henri Poincaré that is a classic in the study of dynamical systems popularly called chaos theory. In an effort to understand the stability of orbits in the solar system, Poincaré applied a Hamiltonian formulation to the equations of planetary motion and studied these differential equations in the limited case of three bodies to arrive at properties of the equations? solutions, such as orbital resonances and horseshoe orbits.  Poincaré wrote for professional mathematicians and astronomers interested in celestial mechanics and differential equations. Contemporary historians of math or science and researchers in dynamical systems and planetary motion with an interest in the origin or history of their field will find his work fascinating. .
410  0$aAstrophysics and Space Science Library,$x0067-0057 ;$v443
606   $aDynamics
606   $aErgodic theory
606   $aStatistical physics
606   $aAstrophysics
606   $aPhysics
606   $aPlanetary science
606   $aDynamical Systems and Ergodic Theory$3https://scigraph.springernature.com/ontologies/product-market-codes/M1204X
606   $aStatistical Physics and Dynamical Systems$3https://scigraph.springernature.com/ontologies/product-market-codes/P19090
606   $aAstrophysics and Astroparticles$3https://scigraph.springernature.com/ontologies/product-market-codes/P22022
606   $aHistory and Philosophical Foundations of Physics$3https://scigraph.springernature.com/ontologies/product-market-codes/P29000
606   $aPlanetary Sciences$3https://scigraph.springernature.com/ontologies/product-market-codes/P22060
615  0$aDynamics.
615  0$aErgodic theory.
615  0$aStatistical physics.
615  0$aAstrophysics.
615  0$aPhysics.
615  0$aPlanetary science.
615 14$aDynamical Systems and Ergodic Theory.
615 24$aStatistical Physics and Dynamical Systems.
615 24$aAstrophysics and Astroparticles.
615 24$aHistory and Philosophical Foundations of Physics.
615 24$aPlanetary Sciences.
676   $a510
700   $aPoincaré$b Henri$4aut$4http://id.loc.gov/vocabulary/relators/aut$0416664
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910254581403321
996   $aThe Three-Body Problem and the Equations of Dynamics$92004699
997   $aUNINA