000 02904nam a22005175i 4500
001 978-0-387-38905-9
003 DE-He213
005 20161121231038.0
007 cr nn 008mamaa
008 100301s2007 xxu| s |||| 0|eng d
020 _a9780387389059
_9978-0-387-38905-9
024 7 _a10.1007/978-0-387-38905-9
_2doi
050 4 _aQB460-466
072 7 _aPHVB
_2bicssc
072 7 _aSCI005000
_2bisacsh
082 0 4 _a523.01
_223
100 1 _aFerraz-Mello, Sylvio.
_eauthor.
245 1 0 _aCanonical Perturbation Theories
_h[electronic resource] :
_bDegenerate Systems and Resonance /
_cby Sylvio Ferraz-Mello.
264 1 _aNew York, NY :
_bSpringer New York,
_c2007.
300 _aXIV, 346 p. 60 illus.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aAstrophysics and Space Science Library,
_x0067-0057 ;
_v345
505 0 _aThe Hamilton-Jacobi Theory -- Angle-Action Variables. Separable Systems -- Classical Perturbation Theories -- Resonance -- Lie Mappings -- Lie Series Perturbation Theory -- Non-Singular Canonical Variables -- Lie Series Theory for Resonant Systems -- Single Resonance near a Singularity -- Nonlinear Oscillators.
520 _aCanonical Perturbation Theories, Degenerate Systems and Resonance presents the foundations of Hamiltonian Perturbation Theories used in Celestial Mechanics, emphasizing the Lie Series Theory and its application to degenerate systems and resonance. This book is the complete text on the subject including advanced topics in Hamiltonian Mechanics, Hori’s Theory, and the classical theories of Poincaré, von Zeipel-Brouwer, and Delaunay. Also covered are Kolmogorov’s frequency relocation method to avoid small divisors, the construction of action-angle variables for integrable systems, and a complete overview of some problems in Classical Mechanics. Sylvio Ferraz-Mello makes these ideas accessible not only to Astronomers, but also to those in the related fields of Physics and Mathematics.
650 0 _aPhysics.
650 0 _aApplied mathematics.
650 0 _aEngineering mathematics.
650 0 _aObservations, Astronomical.
650 0 _aAstronomy
_xObservations.
650 0 _aAstrophysics.
650 1 4 _aPhysics.
650 2 4 _aAstrophysics and Astroparticles.
650 2 4 _aTheoretical, Mathematical and Computational Physics.
650 2 4 _aAstronomy, Observations and Techniques.
650 2 4 _aApplications of Mathematics.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9780387389004
830 0 _aAstrophysics and Space Science Library,
_x0067-0057 ;
_v345
856 4 0 _uhttp://dx.doi.org/10.1007/978-0-387-38905-9
912 _aZDB-2-PHA
950 _aPhysics and Astronomy (Springer-11651)
999 _c507744
_d507744