Dynamics of a particle on an axisymmetric surface under gravitational force: a geometric approach

DOI10.1088/1361-6404/aa7ae8zbMath1386.70030OpenAlexW2673851133MaRDI QIDQ4601950

G. Torres-Vargas

Publication date: 25 January 2018

Published in: European Journal of Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/1361-6404/aa7ae8

zbMATH Keywords

differential geometrycurves on surfacesparticle on surfaces

Mathematics Subject Classification ID

Applications of differential geometry to physics (53Z05) Holonomic systems related to the dynamics of a system of particles (70F20)

Cites Work

• Hamiltonian for a particle in a magnetic field on a curved surface in orthogonal curvilinear coordinates
• Störmer problem restricted to a spherical surface
• Charged particles constrained to a curved surface
• Störmer problem restricted to a spherical surface and the Euler and Lagrange tops
• The motion of a charged particle on a Riemannian surface under a non-zero magnetic field
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