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

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.

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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.

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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.
Content:
Front Matter....Pages i-xii
Exchange and Capture in the Planar Restricted Parabolic 3-Body Problem....Pages 1-28
Fitting Invariant Curves on Billiard Tables and the Birkhoff-Herman Theorem....Pages 29-36
Construction of Periodic Orbits in Hill’s Problem for $C gtrsim {3^{tfrac{4}{3}}}$ ....Pages 37-61
Are There Perverse Choreographies?....Pages 63-76
Blow up of Total Collision in the Tetrahedral Non-Rotating Four Body Problem....Pages 77-94
Symbolic Dynamics for Transition Tori-II....Pages 95-108
A Survey on Bifurcations of Invariant Tori....Pages 109-121
Perturbing the Lagrange Solution to the General Three Body Problem....Pages 123-136
Horseshoe Periodic Orbits in the Restricted Three Body Problem....Pages 137-152
Instability of Periodic Orbits in the Restricted Three Body Problem....Pages 153-168
Syzygies and the Integral Manifolds of the Spatial N-Body Problem....Pages 169-183
Dynamics and Bifurcation Near the Transition from Stability to Complex Instability....Pages 185-197
Invariant Manifolds of Spatial Restricted Three-Body Problems: the Lunar Case....Pages 199-224
Path Integral Quantization of the Sphere....Pages 225-237
Non-Holonomic Systems with Symmetry Allowing a Conformally Symplectic Reduction....Pages 239-252
Back Matter....Pages 253-255

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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.
Content:
Front Matter....Pages i-xii
Exchange and Capture in the Planar Restricted Parabolic 3-Body Problem....Pages 1-28
Fitting Invariant Curves on Billiard Tables and the Birkhoff-Herman Theorem....Pages 29-36
Construction of Periodic Orbits in Hill’s Problem for $C gtrsim {3^{tfrac{4}{3}}}$ ....Pages 37-61
Are There Perverse Choreographies?....Pages 63-76
Blow up of Total Collision in the Tetrahedral Non-Rotating Four Body Problem....Pages 77-94
Symbolic Dynamics for Transition Tori-II....Pages 95-108
A Survey on Bifurcations of Invariant Tori....Pages 109-121
Perturbing the Lagrange Solution to the General Three Body Problem....Pages 123-136
Horseshoe Periodic Orbits in the Restricted Three Body Problem....Pages 137-152
Instability of Periodic Orbits in the Restricted Three Body Problem....Pages 153-168
Syzygies and the Integral Manifolds of the Spatial N-Body Problem....Pages 169-183
Dynamics and Bifurcation Near the Transition from Stability to Complex Instability....Pages 185-197
Invariant Manifolds of Spatial Restricted Three-Body Problems: the Lunar Case....Pages 199-224
Path Integral Quantization of the Sphere....Pages 225-237
Non-Holonomic Systems with Symmetry Allowing a Conformally Symplectic Reduction....Pages 239-252
Back Matter....Pages 253-255
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