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Which wavelength gives a stationary Rossby wave?

  • A.The shortest resolvable wavelength
  • B.The wavelength corresponding to the Rossby radius of deformation at the latitude of the wave concerned
  • C.The wavelength at which westward phase speed cancels the eastward flow
  • D.The wavelength equal to the circumference of the latitude circle at which the wave is being observed

Answer: C

Setting the intrinsic westward phase speed equal and opposite to the eastward advection by the mean flow gives the stationary wavelength, typically several thousand kilometres in mid-latitudes. Waves longer than this retrogress and shorter ones progress. Orographically forced waves are stationary by construction, which is why the wavelength matters for understanding where the long wave troughs sit relative to the mountains. A single measurement chosen to respond to the one asymmetry beats several that respond to shared behaviour.

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