Applications of Szebehely's equation

DOI10.1007/BF01301809zbMath0473.70012MaRDI QIDQ3928299

Sándor Molnár

Publication date: 1981

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

zbMATH Keywords

families of concentric ellipsesfamilies of orbits of confocal conic sectionsgeneral solution of Szebehely's equation

Mathematics Subject Classification ID

Inverse problems for PDEs (35R30) Celestial mechanics (70F15)

Related Items (11)

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 ⋮ Solution of the three-dimensional inverse problem ⋮ A generalization of Szebehely's inverse problem of dynamics ⋮ Explicit solutions of the three-dimensional inverse problem of dynamics, using the Frenet reference frame ⋮ A generalization of Szebehely's equation for three dimensions ⋮ A new integration theory for conservative two degree-of-freedom systems ⋮ Existence of the solution of Szebehely's equation in three dimensions using a two-parametric family of orbits ⋮ An extension of Szebehely's problem to holonomic systems ⋮ Generalization of Szebehely's equation ⋮ Inverse problem with two-parametric families of planar orbits

Cites Work

• On Szebehely's equation for the potential of a prescribed family of orbits

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