Write the parameter σ for an isothermal atmosphere

The quasi-geostrophic (QG) vorticity equation on a midlatitude B-plane in isobaric coordinates can be written as dt

with the geopotential φ, σ SPR/p , where S, is the stability parameter RT OT

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1) Write the parameter σ for an isothermal atmosphere

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2) Rewrite the QG equation for an isothermal atmosphere

3) Do you have divergence of the horizontal wind in an isothermal QG atmosphere? Explain your answer

4) Do you have vertical motion ω in an isothermal QG atmosphere? Explain your answer.

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