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| 001 | 21733309 | ||
| 003 | OSt | ||
| 005 | 20240619120055.0 | ||
| 006 | m |o d | | ||
| 007 | cr ||||||||||| | ||
| 008 | 170512s2017 gw |||| o |||| 0|eng | ||
| 010 | _a 2019751029 | ||
| 020 | _a9783319528991 | ||
| 024 | 7 |
_a10.1007/978-3-319-52899-1 _2doi |
|
| 035 | _a(DE-He213)978-3-319-52899-1 | ||
| 040 |
_aDLC _beng _epn _erda _cIISERB |
||
| 072 | 7 |
_aMAT034000 _2bisacsh |
|
| 072 | 7 |
_aPBWR _2bicssc |
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| 072 | 7 |
_aPBWR _2thema |
|
| 082 | 0 | 4 |
_a515.39 P755T _223 |
| 100 | 1 |
_aPoincaré, Henri. _eauthor. _930320 |
|
| 245 | 1 | 4 |
_aThree-Body Problem and the Equations of Dynamics : _bPoincaré's Foundational Work on Dynamical Systems Theory _cby Henri Poincaré. |
| 250 | _a1st ed. 2017. | ||
| 260 |
_aSwitzarland: _bSpringer-Nature, _c2017. |
||
| 300 | _aXXII, 248 pages 9 illustrations | ||
| 490 | 1 |
_aAstrophysics and Space Science Library, _x0067-0057 ; _v443 |
|
| 505 | 0 | _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. | |
| 520 | _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. | ||
| 650 | 0 |
_aAstrophysics. _930321 |
|
| 650 | 0 |
_aDynamics. _930322 |
|
| 650 | 0 |
_aErgodic theory. _930323 |
|
| 650 | 0 |
_aPhysics. _930324 |
|
| 650 | 0 |
_aPlanetary science. _930325 |
|
| 650 | 0 |
_aStatistical physics. _930326 |
|
| 650 | 1 | 4 |
_aDynamical Systems and Ergodic Theory. _930327 |
| 650 | 2 | 4 |
_aAstrophysics and Astroparticles. _930328 |
| 650 | 2 | 4 |
_aHistory and Philosophical Foundations of Physics. _930329 |
| 650 | 2 | 4 |
_aPlanetary Sciences. _930330 |
| 650 | 2 | 4 |
_aStatistical Physics and Dynamical Systems. _930331 |
| 776 | 0 | 8 |
_iPrint version: _tThe three-body problem and the equations of dynamics. _z9783319528984 _w(DLC) 2017932019 |
| 776 | 0 | 8 |
_iPrinted edition: _z9783319528984 |
| 776 | 0 | 8 |
_iPrinted edition: _z9783319529004 |
| 776 | 0 | 8 |
_iPrinted edition: _z9783319850122 |
| 830 | 0 |
_aAstrophysics and Space Science Library, _v443 _930332 |
|
| 906 |
_a0 _bibc _corigres _du _encip _f20 _gy-gencatlg |
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| 942 |
_2ddc _cBK |
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| 999 |
_c10330 _d10330 |
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