000 03172nam a22005415i 4500
001 978-3-540-44712-2
003 DE-He213
005 20160624101847.0
007 cr nn 008mamaa
008 121227s2001 gw | s |||| 0|eng d
020 _a9783540447122
_9978-3-540-44712-2
024 7 _a10.1007/3-540-44712-1
_2doi
050 4 _aQB4
072 7 _aPG
_2bicssc
072 7 _aSCI004000
_2bisacsh
072 7 _aNAT033000
_2bisacsh
082 0 4 _a520
_223
100 1 _aHénon, Michel.
_eauthor.
245 1 0 _aGenerating Families in the Restricted Three-Body Problem
_h[electronic resource] :
_bII. Quantitative Study of Bifurcations /
_cby Michel Hénon.
260 1 _aBerlin, Heidelberg :
_bSpringer Berlin Heidelberg,
_c2001.
264 1 _aBerlin, Heidelberg :
_bSpringer Berlin Heidelberg,
_c2001.
300 _aXII, 304 p.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aLecture Notes in Physics Monographs,
_x0940-7677 ;
_v65
505 0 _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.
520 _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.
650 0 _aPhysics.
650 0 _aComputer science
_xMathematics.
650 0 _aAstronomy.
650 0 _aAstrophysics.
650 0 _aEngineering.
650 1 4 _aPhysics.
650 2 4 _aAstronomy.
650 2 4 _aComplexity.
650 2 4 _aComputational Mathematics and Numerical Analysis.
650 2 4 _aExtraterrestrial Physics, Space Sciences.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783540417330
786 _dSpringer
830 0 _aLecture Notes in Physics Monographs,
_x0940-7677 ;
_v65
856 4 0 _uhttp://dx.doi.org/10.1007/3-540-44712-1
942 _2EBK2428
_cEBK
999 _c31722
_d31722