Motion of Barotropic and Baroclinic Tops as Mechanical Prototypes for the General Circulation of Barotropic and Baroclinic Inviscid Atmospheres

  • Felix V. Dolzhansky
Part of the Encyclopaedia of Mathematical Sciences book series (EMS, volume 103)

Abstract

Given the dual interpretation of the equations of motion of a rigid body with a fixed point, these precessions of a barotropic top can be regarded as a mechanical prototype of the process of propagation of planetary waves that carry away the angular momentum of the atmosphere in the direction opposite to the Earth’s rotation. In turn, the approximate invariance of the projection of its angular momentum to the direction of m 0 can be thought of as a mechanical prototype of the approximate Lagrangian invariance of the vertical vorticity of global atmospheric movements, expressed by the Obukhov–Charney equation.

Keywords

Angular Momentum Phase Portrait Rossby Wave Planetary Wave Slow Manifold 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2013

Authors and Affiliations

  • Felix V. Dolzhansky
    • 1
  1. 1.

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