Equation de Szebehely et principes variationnels

DOI10.1007/BF01229089zbMath0567.70013MaRDI QIDQ3683577

François Puel

Publication date: 1984

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

zbMATH Keywords

inverse problemSzebehely equationleast action principle of Maupertuis

Mathematics Subject Classification ID

Celestial mechanics (70F15) Other variational principles in mechanics (70H30)

Related Items (5)

An observation on the inverse extended problem of Szebehely ⋮ On Szebehely's problem extended to holonomic systems with a given integral of motion ⋮ 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) ⋮ Explicit solutions of the three-dimensional inverse problem of dynamics, using the Frenet reference frame ⋮ The energy-free equations of the 3D inverse problem of dynamics

Cites Work

• On the construction of a dynamical system from a preassigned family of solutions
• A generalization of Szebehely's equation for three dimensions
• Formulation intrinseque de l'equation de Szebehely (intrinsic formulation of Szebehely's equation)
• The problem of three bodies
• On Szebehely's equation for the potential of a prescribed family of orbits

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