The problem of small divisors in planetary motion

Related Items (3)

On resonance ⋮ The construction of a seventh-order Jupiter-Saturn analytical theory ⋮ The construction of a fifth-order Jupiter-Saturn motion: Analytical theory. I: Outline

Cites Work

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On resonance in celestial mechanics
A resonance problem of two degrees of freedom
The elimination of the critical terms of a first order Uranus-Neptune theory by Hori's method
Stability in the restricted problem of three bodies with Liapounov Characteristic Numbers
Sur les petits diviseurs
The Hamiltonian transformation in quadratic lie transforms
The present status of periodic orbits
Three-dimensional periodic motion of three finite masses around collinear equilibrium configurations
A comparison of the Bohlin-von Zeipel and Bohlin-Lie series methods in resonant systems
Hill regions for the general three-body problem
A theory of libration
Bifurcation points in the planar problem of three bodies
Are higher order resonances really interesting?
Disappearance of integrals in systems of more than two degrees of freedom
[https://portal.mardi4nfdi.de/wiki/Publication:4164882 On the elimination of the critical terms of a first order theory of Jupiter perturbed by Saturn carried out through Hori's method and Poincar� canonical variables]
An improved transformation-elimination technique for the solution of perturbed Hamiltonian systems
A third-order intermediate orbit for planetary theory
The Ideal Resonance Problem: A comparison of the solutions expressed in terms of mean elements and in terms of initial conditions
Canonical transformations depending on a small parameter
A second-order solution of the Ideal Resonance Problem by Lie series
Normality condition in the ideal resonance problem

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