The mechanics of inertial motion on the Earth and on a rotating sphere

DOI10.1016/S0167-2789(01)00341-4zbMath1003.70011MaRDI QIDQ5950430

Andrey Sigalov, Nathan Paldor

Publication date: 11 December 2001

Published in: Physica D (Search for Journal in Brave)

zbMATH Keywords

pendulumaction-angle variablescentrifugal forcesCoriolis forcespolar coordinatesEarth's eccentricityfree particleinertial motioninertial oscillatonnon-rotating spherepolar trajectoriesrotating Earthrotating frame of referencerotating spheretwo-degree-of-freedom integral systems

Mathematics Subject Classification ID

Dynamics of a system of particles, including celestial mechanics (70F99) Completely integrable systems and methods of integration for problems in Hamiltonian and Lagrangian mechanics (70H06)

Related Items (3)

Geodetic model for teaching motion on the Earth’s spheroidal surface ⋮ Hamiltonian description of monopoles on a rotating sphere ⋮ Exceptional and diabolical points in stability questions

Cites Work

• Hyperbolic billiards on surfaces of constant curvature
• Motion of a free particle on a beta-plane
• Vortex motion on surfaces with constant curvature
• Embedded Surfaces with Ergodic Geodesic Flows
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