SLIDE 1
d dt (z−z0)+N
2(z−z0)=0
N
2= g
T (Γ−Γa) T =T 0−Γ z Γa= g c p
An air parcel moves according to the spring equation: N is called the Brunt-Vaisala frequency, given by: Temperature is assumed to be a linear function: Gamma_a is the adiabatic lapse rate: So we use MATLAB to solve the spring equation for three planets: Earth, Mars, and Jupiter, using Runge-Kutta. The slope Gamma is called the lapse rate, measured in K/m
Γ=−dT dz