The energy-free equations of the 3D inverse problem of dynamics

DOI10.1080/17415970500170920zbMath1194.70025OpenAlexW2137586638MaRDI QIDQ3588253

Mira-Cristiana Anisiu

Publication date: 10 September 2010

Published in: Inverse Problems in Science and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17415970500170920

zbMATH Keywords

conservative systemsenergy-free equationsspatial inverse problem of dynamics

Mathematics Subject Classification ID

Inverse problems for systems of particles (70F17)

Related Items (2)

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

Cites Work

• Explicit solutions of the three-dimensional inverse problem of dynamics, using the Frenet reference frame
• On perturbed oscillators in 1-1-1 resonance: The case of axially symmetric cubic potentials
• Determination of autonomous three-dimensional force fields from a two-parameter family of orbits
• A generalization of Szebehely's equation for three dimensions
• Existence of the solution of Szebehely's equation in three dimensions using a two-parametric family of orbits
• On Szebehely's equation and its connection with Dainelly's-Whittaker's equations
• Equation de Szebehely et principes variationnels
• Solution of the three-dimensional inverse problem
• Solution of an inverse problem of the dynamics of a particle
• Two-dimensional inverse problem of dynamics for families in parametric form
• A new formulation of the two-dimensional inverse problem of dynamics
• Homogeneous two-parametric families of orbits in three-dimensional homogeneous potentials
• The inverse problem of dynamics: basic facts
• An alternative point of view on the equations of the inverse problem of dynamics

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