| 000 | 03682nam a22005415i 4500 | ||
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| 001 | 978-3-540-44712-2 | ||
| 003 | DE-He213 | ||
| 005 | 20190213151713.0 | ||
| 007 | cr nn 008mamaa | ||
| 008 | 121227s2001 gw | s |||| 0|eng d | ||
| 020 |
_a9783540447122 _9978-3-540-44712-2 |
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| 024 | 7 |
_a10.1007/3-540-44712-1 _2doi |
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| 072 | 7 |
_aPG _2bicssc |
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_aSCI004000 _2bisacsh |
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| 082 | 0 | 4 |
_a520 _223 |
| 100 | 1 |
_aHénon, Michel. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut |
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| 245 | 1 | 0 |
_aGenerating Families in the Restricted Three-Body Problem _h[electronic resource] : _bII. Quantitative Study of Bifurcations / _cby Michel Hénon. |
| 264 | 1 |
_aBerlin, Heidelberg : _bSpringer Berlin Heidelberg, _c2001. |
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| 300 |
_aXII, 304 p. _bonline resource. |
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| 336 |
_atext _btxt _2rdacontent |
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| 337 |
_acomputer _bc _2rdamedia |
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| 338 |
_aonline resource _bcr _2rdacarrier |
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| 347 |
_atext file _bPDF _2rda |
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| 490 | 1 |
_aLecture Notes in Physics Monographs, _x0940-7677 ; _v65 |
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| 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 |
_aComputer science _xMathematics. |
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| 650 | 0 | _aAstrophysics. | |
| 650 | 0 | _aStatistical physics. | |
| 650 | 1 | 4 |
_aAstronomy, Observations and Techniques. _0http://scigraph.springernature.com/things/product-market-codes/P22014 |
| 650 | 2 | 4 |
_aComplex Systems. _0http://scigraph.springernature.com/things/product-market-codes/P33000 |
| 650 | 2 | 4 |
_aComputational Mathematics and Numerical Analysis. _0http://scigraph.springernature.com/things/product-market-codes/M1400X |
| 650 | 2 | 4 |
_aSpace Sciences (including Extraterrestrial Physics, Space Exploration and Astronautics). _0http://scigraph.springernature.com/things/product-market-codes/P22030 |
| 650 | 2 | 4 |
_aStatistical Physics and Dynamical Systems. _0http://scigraph.springernature.com/things/product-market-codes/P19090 |
| 710 | 2 | _aSpringerLink (Online service) | |
| 773 | 0 | _tSpringer eBooks | |
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_iPrinted edition: _z9783662145173 |
| 776 | 0 | 8 |
_iPrinted edition: _z9783662145166 |
| 776 | 0 | 8 |
_iPrinted edition: _z9783540417330 |
| 830 | 0 |
_aLecture Notes in Physics Monographs, _x0940-7677 ; _v65 |
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| 856 | 4 | 0 | _uhttps://doi.org/10.1007/3-540-44712-1 |
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| 912 | _aZDB-2-LNP | ||
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