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
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