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100   $a20121227d1997      u|         0
101 0 $aeng
135   $aurnn#008mamaa
181   $ctxt
182   $cc
183   $acr
200 10$aGenerating Families in the Restricted Three-Body Problem /$fby Michel Henon
205   $a1st ed. 1997.
210  1$aBerlin, Heidelberg :$cSpringer Berlin Heidelberg :$cImprint: Springer,$d1997.
215   $a1 online resource (XI, 280 p.)
225 1 $aLecture Notes in Physics Monographs ;$v52
300   $aBibliographic Level Mode of Issuance: Monograph
311 08$a3-662-14156-6 
311 08$a3-540-63802-4 
320   $aIncludes bibliographical references and index.
327   $aDefinitions and Properties -- Generating Orbits of the First Species -- Generating Orbits of the Second Species -- Generating Orbits of the Third Species -- Bifurcation Orbits -- Junctions: Symmetry -- Junctions: Broucke?s Principle -- Fragments -- Generating Families.
330   $aThe classical restricted problem of three bodies is of fundamental importance for its applications to astronomy and space navigation, and also as a simple model of a non-integrable Hamiltonian dynamical system. A central role is played by periodic orbits, of which a large number have been computed numerically. In this book an attempt is made to explain and organize this material through a systematic study of generating families, which are the limits of families of periodic orbits when the mass ratio of the two main bodies becomes vanishingly small. The most critical part is the study of bifurcations, where several families come together and it is necessary to determine how individual branches are joined. Many different cases must be distinguished and studied separately. Detailed recipes are given. Their use is illustrated by determining a number of generating families, associated with natural families of the restricted problem, and comparing them with numerical computations in the Earth-Moon and Sun-Jupiter case.
410  0$aLecture Notes in Physics Monographs ;$v52
606   $aAstronomy$vObservations
606   $aSystem theory
606   $aMathematics$xData processing
606   $aSolar system
606   $aMathematical physics
606   $aAstronomy, Observations and Techniques
606   $aComplex Systems
606   $aComputational Mathematics and Numerical Analysis
606   $aSpace Physics
606   $aTheoretical, Mathematical and Computational Physics
615  0$aAstronomy
615  0$aSystem theory.
615  0$aMathematics$xData processing.
615  0$aSolar system.
615  0$aMathematical physics.
615 14$aAstronomy, Observations and Techniques.
615 24$aComplex Systems.
615 24$aComputational Mathematics and Numerical Analysis.
615 24$aSpace Physics.
615 24$aTheoretical, Mathematical and Computational Physics.
676   $a521
700   $aHenon$b Michel$f1931-$061600
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910257394003321
996   $aGenerating Families in the Restricted Three-Body Problem$9375360
997   $aUNINA