Secular resonances in the asteroid belt: Theoretical perturbation approach and the problem of their location

DOI10.1007/BF00048606zbMath0850.70122MaRDI QIDQ1186264

Alessandro Morbidelli, Jacques Henrard

Publication date: 28 June 1992

Published in: Celestial Mechanics and Dynamical Astronomy (Search for Journal in Brave)

Mathematics Subject Classification ID

Celestial mechanics (70F15)

Related Items

Singularly weighted symplectic forms and applications to asteroid motion ⋮ The Nekhoroshev theorem and the asteroid belt dynamical system ⋮ The Kozai resonance in the outer solar system and the dynamics of long-period comets ⋮ Construction of a Nekhoroshev like result for the asteroid belt dynamical system ⋮ Large-scale Kolmogorov flow on the beta-plane and resonant wave interactions ⋮ The main secular resonances \(\nu{}_ 6,\nu{}_ 5\) and \(\nu{}_{16}\) in the asteroid belt ⋮ Formal solution of the asteroid motion near the 2:1 commensurability ⋮ Collective resonant phenomena on small bodies in the solar system ⋮ Are the analytical proper elements of asteroids still needed? ⋮ Proper elements for highly inclined asteroidal orbits ⋮ Minor planet short periodic perturbations: The indirect part of the disturbing function

Cites Work

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• Secular perturbation theory and computation of asteroid proper elements
• A semi-numerical perturbation method for separable Hamiltonian systems
• On the dynamics in the asteroids belt. I: General theory
• A second fundamental model for resonance
• Secular perturbations of asteroids in secular resonance
• Formal integrals for an autonomous Hamiltonian system near an equilibrium point