Code-equations/Gravitational-Potential-including-indirect-terms.md

@@ -43,17 +43,17 @@ The choice of the smoothing length depends mainly on the resolution: as a rule o
 
 - **In the 2 Dimensional case** 
 we use  a potential of the form:
-$`\Phi _p^{\epsilon} = -{m_pG\over {\sqrt {d^2+(\epsilon R_H)^2}}}`$
+$`\Phi _p^{\epsilon} = -{m_pG\over {\sqrt {d^2+(\epsilon H_p)^2}}}`$
 
 In 2 dimensional models we certainly have the problem of avoiding the singularity as well as in the 3D case; however the main constraint is to choose a potential that allows to mimic the average influence  that the planet would have  on the vertical gas column.
 
-A value often used for the smoothing lenght is $`0.7H`$ where $`H`$ is the disc  scale height. We remark that the smoothing parameter $`\epsilon`$ is considered in the code in units of the Hill radius and not in disc scale height.
-To select this choice for a simulation in the config file:
+A value often used for the smoothing lenght is $`0.6H`$ where $`H`$ is the disc  scale height. We remark that the smoothing parameter $`\epsilon`$ is considered in the code in units of the disk scale height at the planet location when selecting ``` Flat true```
+Precisely, select this choice for a simulation in the config file:
 ```
     Smoothing
     {
         Flat true   # select the  potential for 2D (flat) case
-        Size 0.4     # smoothing parameter in units of the planet Hill radius
+        Size 0.4     # smoothing parameter in units of the scale height at the planet position
     }
 ```