000 | 03593nam a22005415i 4500 | ||
---|---|---|---|
001 | 978-3-540-69650-6 | ||
003 | DE-He213 | ||
005 | 20190213151315.0 | ||
007 | cr nn 008mamaa | ||
008 | 121227s1997 gw | s |||| 0|eng d | ||
020 |
_a9783540696506 _9978-3-540-69650-6 |
||
024 | 7 |
_a10.1007/3-540-69650-4 _2doi |
|
050 | 4 | _aQB4 | |
072 | 7 |
_aPG _2bicssc |
|
072 | 7 |
_aSCI004000 _2bisacsh |
|
072 | 7 |
_aPG _2thema |
|
082 | 0 | 4 |
_a520 _223 |
100 | 1 |
_aHénon, Michel. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut |
|
245 | 1 | 0 |
_aGenerating Families in the Restricted Three-Body Problem _h[electronic resource] / _cby Michel Hénon. |
264 | 1 |
_aBerlin, Heidelberg : _bSpringer Berlin Heidelberg, _c1997. |
|
300 |
_aXI, 280 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 ; _v52 |
|
505 | 0 | _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. | |
520 | _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. | ||
650 | 0 |
_aComputer science _xMathematics. |
|
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 | |
776 | 0 | 8 |
_iPrinted edition: _z9783662141564 |
776 | 0 | 8 |
_iPrinted edition: _z9783662141557 |
776 | 0 | 8 |
_iPrinted edition: _z9783540638025 |
830 | 0 |
_aLecture Notes in Physics Monographs, _x0940-7677 ; _v52 |
|
856 | 4 | 0 | _uhttps://doi.org/10.1007/3-540-69650-4 |
912 | _aZDB-2-PHA | ||
912 | _aZDB-2-LNP | ||
912 | _aZDB-2-BAE | ||
999 |
_c10217 _d10217 |