A generalization of Szebehely's inverse problem of dynamics in dimension three

DOI10.1016/S0034-4877(17)30049-6zbMath1384.49030arXiv1612.04638MaRDI QIDQ1744650

Geoff Prince, Tom Mestdag, Willy Sarlet

Publication date: 19 April 2018

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1612.04638

zbMATH Keywords

inverse problem of dynamicsinverse problem of the calculus of variationsSzebehely's equation

Mathematics Subject Classification ID

Inverse problems for systems of particles (70F17) Inverse problems in optimal control (49N45) Lagrange's equations (70H03) Inverse problems for integral equations (45Q05)

Related Items (1)

Exact Solutions of Two PDEs which Govern the 3D Inverse Problem of Dynamics

Uses Software

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Cites Work

• Explicit solutions of the three-dimensional inverse problem of dynamics, using the Frenet reference frame
• A generalization of Szebehely's inverse problem of dynamics
• 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
• The energy-free equations of the 3D inverse problem of dynamics
• Solution of an inverse problem of the dynamics of a particle
• The inverse problem of dynamics: basic facts

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