Formulation intrinseque de l'equation de Szebehely (intrinsic formulation of Szebehely's equation)

DOI10.1007/BF01236600zbMath0552.70007MaRDI QIDQ3345822

François Puel

Publication date: 1984

Published in: Celestial Mechanics (Search for Journal in Brave)

zbMATH Keywords

Szebehely's equationcoordinate independent formulationgeneralization to three and more dimensions

Mathematics Subject Classification ID

Hamilton's equations (70H05) Celestial mechanics (70F15)

Related Items

On Szebehely's problem extended to holonomic systems with a given integral of motion ⋮ Separable and partially separable systems in the light of the inverse problem of dynamics ⋮ Relation entre l'équation de Szebehely du problème inverse de la mécanique et la théorie de Hamilton-Jacobi. (Relation between the Szebehely equation of the inverse problem of mechanics and the Hamilton- Jacobi theory) ⋮ Solution of the three-dimensional inverse problem ⋮ A nonlinear PDE for families of orbits on a given surface ⋮ Exact Solutions of Two PDEs which Govern the 3D Inverse Problem of Dynamics ⋮ Straight line orbits in Hamiltonian flows ⋮ Explicit solutions of the three-dimensional inverse problem of dynamics, using the Frenet reference frame ⋮ Inverse problem in Lagrangian dynamics: special solutions for potentials possessing families of regular orbits on a given surface ⋮ Equation de Szebehely et principes variationnels

Cites Work

• On the construction of a dynamical system from a preassigned family of solutions
• A generalization of Szebehely's equation for three dimensions
• The problem of three bodies
• On Szebehely's equation for the potential of a prescribed family of orbits