Existence of the solution of Szebehely's equation in three dimensions using a two-parametric family of orbits

DOI10.1007/BF01375509zbMath0543.70012MaRDI QIDQ3332304

F. Varadi, Bálint Érdi

Publication date: 1983

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

zbMATH Keywords

quasi-linearsystem of algebraic equationsSzebehely's equationdetermination of the potentialthree-dimensional inverse problem

Mathematics Subject Classification ID

Celestial mechanics (70F15)

Related Items

On Szebehely's problem extended to holonomic systems with a given integral of motion, Solution of the three-dimensional inverse problem, Exact Solutions of Two PDEs which Govern the 3D Inverse Problem of Dynamics, A generalization of Szebehely's inverse problem of dynamics in dimension three, Explicit solutions of the three-dimensional inverse problem of dynamics, using the Frenet reference frame, Solution of an inverse problem of the dynamics of a particle, The energy-free equations of the 3D inverse problem of dynamics, Families of planar orbits generated by homogeneous potentials

Cites Work

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• A generalization of Szebehely's equation for three dimensions
• Determination of the potential in a synodic system
• Applications of Szebehely's equation
• Modification of an equation of Szebehely
• On Szebehely's equation for the potential of a prescribed family of orbits
• Generalization of Szebehely's equation