Brunt-Vaisala frequency of planets d 2 ( z z 0 )= 0 An air parcel - PowerPoint PPT Presentation

Brunt-Vaisala frequency of planets

d 2 ( z − z 0 )= 0 An air parcel moves according to the spring equation: dt ( z − z 0 )+ N 2 = g N is called the Brunt-Vaisala frequency, given by: N T (Γ−Γ a ) Temperature is assumed to be a linear function: T = T 0 −Γ z Γ=− dT The slope Gamma is called the lapse rate, measured in K/m dz Γ a = g Gamma_a is the adiabatic lapse rate: c p So we use MATLAB to solve the spring equation for three planets: Earth, Mars, and Jupiter, using Runge-Kutta.