the geopotential anomalies associated with the flow around interacting Rossby waves in the troposphere is constrained to take the form: p' = Re[G(p)elk(x-ct)+ily ] where the vertical dependence of the solution has the form: G(p) = (c -2)| cosh rp + B sinh rp B is the amplitude of the disturbance, the vertical structure decays with a scale related to the horizontal wavenumbers via r? = o(k + 12)/fo, and the phase speed c depends on r by the dispersion relation: c2 uo uoy* 4 coth (r[Ps - p.]) 1. Choose realistic values for each of the parameters used in this problem (y*, fo, , uo) for middle latitudes of the Northern Hemisphere. For the static stability parameter, recall that O = R R/cp de d dp and that we are treating this as a constant in the troposphere. I suggest estimating its value in the middle troposphere, and use the fact that the annual mean value of 0 at 45'N and 300 mb is 325 K, while at 45'N and 1000, 0 is 285 K. For each of the parameters, state the values you choose, and explain or show the work you did to define them. You will make graphs of the vertical structure of geopotential, meridional wind, and temperature anomalies associated with the growing modes of these disturbances. Make cross-sections in the x-z plane, and set the meridional wavenumber / = 0. Using Python, make graphs of the vertical structure (plot in the x-z plane) at a snapshot in time of: 2. $ from the formula above. 3. v', which is fo 1dxo' by geostrophic balance 4. T', which by hydrostatic balance is proportional to -do D