Families of planar orbits generated by homogeneous potentials

DOI10.1007/BF00695715zbMath0784.70016OpenAlexW2059242214MaRDI QIDQ1311451

George Bozis, Simela Grigoriadou

Publication date: 6 April 1994

Published in: Celestial Mechanics and Dynamical Astronomy (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00695715

zbMATH Keywords

ordinary linear differential equationmonoparametric set of potentials

Mathematics Subject Classification ID

Dynamics of a system of particles, including celestial mechanics (70F99) Inverse problems involving ordinary differential equations (34A55)

Related Items

Separable and partially separable systems in the light of the inverse problem of dynamics ⋮ Compatible potentials and orbits in synodic systems ⋮ Exact Solutions of Two PDEs which Govern the 3D Inverse Problem of Dynamics

Cites Work

• Existence of the solution of Szebehely's equation in three dimensions using a two-parametric family of orbits
• On monoparametric families of orbits sufficient for integrability of planar potentials with linear or quadratic invariants
• Solution of the three-dimensional inverse problem
• Existence and construction of dynamical systems having a prescribed integral of motion-an inverse problem
• Solution of an inverse problem of the dynamics of a particle
• On Szebehely's equation for the potential of a prescribed family of orbits
• Generalization of Szebehely's equation
• On Szebehely's Inverse Problem for a Particle Describing Orbits on a Given Surface