Singularly weighted symplectic forms and applications to asteroid motion

DOI10.1007/BF00692067zbMath0829.70009MaRDI QIDQ1898007

Michael Ghil, W. M. Kaula, C. M. De la Barre, F. Varadi

Publication date: 20 September 1995

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

zbMATH Keywords

secular resonancesJupiterSaturnHamiltonian forcing

Mathematics Subject Classification ID

Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Celestial mechanics (70F15)

Related Items (2)

The Trojan problem ⋮ A review of structure-preserving numerical methods for engineering applications

Cites Work

• Unnamed Item
• Unnamed Item
• Secular resonances in the asteroid belt: Theoretical perturbation approach and the problem of their location
• Branching solutions and Lie series
• Hamiltonian perturbation theory in noncanonical coordinates
• Motion of two planets with periods commensurable in the ratio 2?1 solutions of the hori auxiliary system
• The reducing transformation and Apocentric Librators
• Canonical solution of the two critical argument problem
• Long periodic perturbations of Trojan asteroids

This page was built for publication: Singularly weighted symplectic forms and applications to asteroid motion