More Gradients

1. Adiabatic1= [(gamma-1)/(gamma)] * (T/P) * dP/dr
2. Adiabatic2= [(gamma-1)/(gamma)] * (T/P) * [(-Gm/r^2) * rho]
3. Adiabatic 3 = (gamma-1) * (T/P) * (P/rho) * (drho/dr)
4. Adiabatic 4 = -g/Cp

In the above, Adiabatic1 and Adiabatic2 are exactly the same (which is why you can't see 2).

Another condition for convection is that dlnP/dlnT > (gamma-1)/(gamma). In the above graph, the green line is (gamma-1)/(gamma).