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New Advances in Celestial Mechanics and Hamiltonian Systems : HAMSYS-2001 - Joaquin Delgado

New Advances in Celestial Mechanics and Hamiltonian Systems

HAMSYS-2001

By: Joaquin Delgado (Editor), Ernesto A. Lacomba (Editor), Jaume Llibre (Editor), Ernesto Perez-Chavela (Editor)

Hardcover Published: 30th April 2004
ISBN: 9780306481178
Number Of Pages: 255

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The aim of the IV International Symposium on Hamiltonian Systems and Celestial Mechanics, HAMSYS-2001 was to join top researchers in the area of Celestial Mechanics, Hamiltonian systems and related topics in order to communicate new results and look forward for join research projects. For PhD students, this meeting offered also the opportunity of personal contact to help themselves in their own research, to call as well and promote the attention of young researchers and graduated students from our scientific community to the above topics, which are nowadays of interest and relevance in Celestial Mechanics and Hamiltonian dynamics. A glance to the achievements in the area in the last century came as a consequence of joint discussions in the workshop sessions, new problems were presented and lines of future research were delineated. Specific discussion topics included: New periodic orbits and choreographies in the n-body problem, singularities in few body problems, central configurations, restricted three body problem, geometrical mechanics, dynamics of charged problems, area preserving maps and Arnold diffusion.

Preface
Drawing
Exchange and capture in the planar restricted parabolic 3-body problemp. 1
Fitting invariant curves on billiard tables and the Birkhoff-Herman theoremp. 29
Construction of periodic orbits in Hill's problem for C [subscript รค][superscript [greater than]] 3[superscript 4/3]p. 37
Are there perverse choreographies?p. 63
Blow up of total collision in the tetrahedral non-rotating four body problemp. 77
Symbolic dynamics for transition Tori-IIp. 95
A survey on bifurcations of invariant Torip. 109
Perturbing the Lagrange solution to the general three body problemp. 123
Horseshoe periodic orbits in the restricted three body problemp. 137
Instability of periodic orbits in the restricted three body problemp. 153
Syzygies and the integral manifolds of the spatial N-body problemp. 169
Dynamics and bifurcation near the transition from stability to complex instabilityp. 185
Invariant manifolds of spatial restricted three-body problems : the lunar casep. 199
Path integral quantization of the spherep. 225
Non-holonomic systems with symmetry allowing a conformally symplectic reductionp. 239
Indexp. 253
Table of Contents provided by Blackwell. All Rights Reserved.

ISBN: 9780306481178
ISBN-10: 0306481170
Series: Modern Approaches in Geophysics
Audience: Professional
Format: Hardcover
Language: English
Number Of Pages: 255
Published: 30th April 2004
Publisher: Springer Science+Business Media
Country of Publication: US
Dimensions (cm): 23.5 x 15.5  x 2.54
Weight (kg): 1.24