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  1. Celestial Mechanics and Dynamical Astronomy
  2. Celestial Mechanics and Dynamical Astronomy : Volume 102
  3. Celestial Mechanics and Dynamical Astronomy : Volume 102, Issue 1-3, September 2008
  4. Quantitative predictions with detuned normal forms
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Celestial Mechanics and Dynamical Astronomy : Volume 128
Celestial Mechanics and Dynamical Astronomy : Volume 127
Celestial Mechanics and Dynamical Astronomy : Volume 126
Celestial Mechanics and Dynamical Astronomy : Volume 125
Celestial Mechanics and Dynamical Astronomy : Volume 124
Celestial Mechanics and Dynamical Astronomy : Volume 123
Celestial Mechanics and Dynamical Astronomy : Volume 122
Celestial Mechanics and Dynamical Astronomy : Volume 121
Celestial Mechanics and Dynamical Astronomy : Volume 120
Celestial Mechanics and Dynamical Astronomy : Volume 119
Celestial Mechanics and Dynamical Astronomy : Volume 118
Celestial Mechanics and Dynamical Astronomy : Volume 117
Celestial Mechanics and Dynamical Astronomy : Volume 116
Celestial Mechanics and Dynamical Astronomy : Volume 115
Celestial Mechanics and Dynamical Astronomy : Volume 114
Celestial Mechanics and Dynamical Astronomy : Volume 113
Celestial Mechanics and Dynamical Astronomy : Volume 112
Celestial Mechanics and Dynamical Astronomy : Volume 111
Celestial Mechanics and Dynamical Astronomy : Volume 110
Celestial Mechanics and Dynamical Astronomy : Volume 109
Celestial Mechanics and Dynamical Astronomy : Volume 108
Celestial Mechanics and Dynamical Astronomy : Volume 107
Celestial Mechanics and Dynamical Astronomy : Volume 106
Celestial Mechanics and Dynamical Astronomy : Volume 105
Celestial Mechanics and Dynamical Astronomy : Volume 104
Celestial Mechanics and Dynamical Astronomy : Volume 103
Celestial Mechanics and Dynamical Astronomy : Volume 102
Celestial Mechanics and Dynamical Astronomy : Volume 102, Issue 4, December 2008
Celestial Mechanics and Dynamical Astronomy : Volume 102, Issue 1-3, September 2008
Preface
Connectance and stability of nonlinear symplectic systems
Local and global diffusion in the Arnold web of a priori unstable systems
Using FLI maps for preliminary spacecraft trajectory design in multi-body environments
On the connection between the Nekhoroshev theorem and Arnold diffusion
On periodic orbits and resonance in extrasolar planetary systems
On the stability of Earth-like planets in multi-planet systems
The dynamics of inclined Neptune Trojans
Injection of Oort Cloud comets: the fundamental role of stellar perturbations
On the rotation of comet Borrelly’s nucleus
Quaternions for regularizing Celestial Mechanics: the right way
Quantitative predictions with detuned normal forms
Periodic orbits as centers of stability in the secular 3D planetary three body problem
Particle motions in Maxwell’s ring dynamical systems
Novel spaceways for reaching the Moon: an assessment for exploration
Ordered and chaotic Bohmian trajectories
Global dynamical properties of the Fermi–Pasta–Ulam system
Observation of Hamiltonian chaos in wave–particle interaction
Celestial Mechanics and Dynamical Astronomy : Volume 101
Celestial Mechanics and Dynamical Astronomy : Volume 100
Celestial Mechanics and Dynamical Astronomy : Volume 99
Celestial Mechanics and Dynamical Astronomy : Volume 98
Celestial Mechanics and Dynamical Astronomy : Volume 97
Celestial Mechanics and Dynamical Astronomy : Volume 96
Celestial Mechanics and Dynamical Astronomy : Volume 95
Celestial Mechanics and Dynamical Astronomy : Volume 94
Celestial Mechanics and Dynamical Astronomy : Volume 93
Celestial Mechanics and Dynamical Astronomy : Volume 92
Celestial Mechanics and Dynamical Astronomy : Volume 91
Celestial Mechanics and Dynamical Astronomy : Volume 90
Celestial Mechanics and Dynamical Astronomy : Volume 89
Celestial Mechanics and Dynamical Astronomy : Volume 88
Celestial Mechanics and Dynamical Astronomy : Volume 87
Celestial Mechanics and Dynamical Astronomy : Volume 86
Celestial Mechanics and Dynamical Astronomy : Volume 85
Celestial Mechanics and Dynamical Astronomy : Volume 84
Celestial Mechanics and Dynamical Astronomy : Volume 83
Celestial Mechanics and Dynamical Astronomy : Volume 82
Celestial Mechanics and Dynamical Astronomy : Volume 81
Celestial Mechanics and Dynamical Astronomy : Volume 80
Celestial Mechanics and Dynamical Astronomy : Volume 79
Celestial Mechanics and Dynamical Astronomy : Volume 78
Celestial Mechanics and Dynamical Astronomy : Volume 77
Celestial Mechanics and Dynamical Astronomy : Volume 76
Celestial Mechanics and Dynamical Astronomy : Volume 75
Celestial Mechanics and Dynamical Astronomy : Volume 74
Celestial Mechanics and Dynamical Astronomy : Volume 73
Celestial Mechanics and Dynamical Astronomy : Volume 72
Celestial Mechanics and Dynamical Astronomy : Volume 71
Celestial Mechanics and Dynamical Astronomy : Volume 70
Celestial Mechanics and Dynamical Astronomy : Volume 69
Celestial Mechanics and Dynamical Astronomy : Volume 68
Celestial Mechanics and Dynamical Astronomy : Volume 67

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Quantitative predictions with detuned normal forms

Content Provider Springer Nature Link
Author Pucacco, Giuseppe Boccaletti, Di Belmonte, Cinzia
Copyright Year 2008
Abstract The phase-space structure of two families of galactic potentials is approximated with a resonant detuned normal form. The normal form series is obtained by a Lie transform of the series expansion around the minimum of the original Hamiltonian. Attention is focused on the quantitative predictive ability of the normal form. We find analytical expressions for bifurcations of periodic orbits and compare them with other analytical approaches and with numerical results. The predictions are quite reliable even outside the convergence radius of the perturbation and we analyze this result using resummation techniques of asymptotic series.
Starting Page 163
Ending Page 176
Page Count 14
File Format PDF
ISSN 09232958
Journal Celestial Mechanics and Dynamical Astronomy
Volume Number 102
Issue Number 1-3
e-ISSN 15729478
Language English
Publisher Springer Netherlands
Publisher Date 2008-05-23
Publisher Place Dordrecht
Access Restriction One Nation One Subscription (ONOS)
Subject Keyword Normal forms of Hamiltonian systems Galactic potentials Stability of periodic orbits Mathematics Astronomy
Content Type Text
Resource Type Article
Subject Applied Mathematics Mathematical Physics Astronomy and Astrophysics Modeling and Simulation Computational Mathematics Space and Planetary Science
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