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035   $a(DE-He213)978-3-540-44712-2
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100   $a20121227d2001      u|         0
101 0 $aeng
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182   $cc$2rdamedia
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200 10$aGenerating Families in the Restricted Three-Body Problem $eII. Quantitative Study of Bifurcations /$fby Michel Henon
205   $a1st ed. 2001.
210  1$aBerlin, Heidelberg :$cSpringer Berlin Heidelberg :$cImprint: Springer,$d2001.
215   $a1 online resource (XII, 304 p.) 
225 1 $aLecture Notes in Physics Monographs,$x0940-7677 ;$v65
311   $a3-540-41733-8 
320   $aIncludes bibliographical references and indexes.
327   $aDefinitions and General Equations -- Quantitative Study of Type 1 -- Partial Bifurcation of Type 1 -- Total Bifurcation of Type 1 -- The Newton Approach -- Proving General Results -- Quantitative Study of Type 2 -- The Case 1/3 v < 1/2 -- Partial Transition 2.1 -- Total Transition 2.1 -- Partial Transition 2.2 -- Total Transition 2.2 -- Bifurcations 2T1 and 2P1.
330   $aThe classical restricted three-body problem is of fundamental importance because of its applications in astronomy and space navigation, and also as a simple model of a non-integrable Hamiltonian dynamical system. A central role is played by periodic orbits, of which many have been computed numerically. This is the second volume of an attempt to explain and organize the material through a systematic study of generating families, the limits of families of periodic orbits when the mass ratio of the two main bodies becomes vanishingly small. We use quantitative analysis in the vicinity of bifurcations of types 1 and 2. In most cases the junctions between branches can now be determined. A first-order approximation of families of periodic orbits in the vicinity of a bifurcation is also obtained. This book is intended for scientists and students interested in the restricted problem, in its applications to astronomy and space research, and in the theory of dynamical systems.
410  0$aLecture Notes in Physics Monographs,$x0940-7677 ;$v65
606   $aObservations, Astronomical
606   $aAstronomy?Observations
606   $aStatistical physics
606   $aDynamical systems
606   $aComputer mathematics
606   $aSpace sciences
606   $aAstronomy, Observations and Techniques$3https://scigraph.springernature.com/ontologies/product-market-codes/P22014
606   $aComplex Systems$3https://scigraph.springernature.com/ontologies/product-market-codes/P33000
606   $aComputational Mathematics and Numerical Analysis$3https://scigraph.springernature.com/ontologies/product-market-codes/M1400X
606   $aSpace Sciences (including Extraterrestrial Physics, Space Exploration and Astronautics)$3https://scigraph.springernature.com/ontologies/product-market-codes/P22030
606   $aStatistical Physics and Dynamical Systems$3https://scigraph.springernature.com/ontologies/product-market-codes/P19090
615  0$aObservations, Astronomical.
615  0$aAstronomy?Observations.
615  0$aStatistical physics.
615  0$aDynamical systems.
615  0$aComputer mathematics.
615  0$aSpace sciences.
615 14$aAstronomy, Observations and Techniques.
615 24$aComplex Systems.
615 24$aComputational Mathematics and Numerical Analysis.
615 24$aSpace Sciences (including Extraterrestrial Physics, Space Exploration and Astronautics).
615 24$aStatistical Physics and Dynamical Systems.
676   $a521
700   $aHenon$b Michel$4aut$4http://id.loc.gov/vocabulary/relators/aut$061600
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910257422903321
996   $aGenerating Families in the Restricted Three-Body Problem$9375360
997   $aUNINA