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

@@ -35,14 +35,14 @@ To select this choice for a simulation in the config file:
 width="320" height="240">
 
 
-The plot shows the effect of smoothing the potential for various values of the smoothing length. In the 3 dimensional case we smooth the potential in order to avoid the singularity in the case
+The plot shows the effect of smoothing the potential for various values of the smoothing parameter. In the 3 dimensional case we smooth the potential in order to avoid the singularity in the case
 $`d -> 0`$. The choice of the smoothing length depends mainly on the resolution: as a rule of the thumb the minimum smoothing length should correspond to the size of about 4 grid cells.
 
 - In the 2 Dimensional case 
 we use  a potential of the form:
 $`\Phi _p^{\epsilon} = -{m_pG\over {\sqrt {d^2+(\epsilon R_H)^2}}}`$
 In 2 dimensional models we do not only have the problem of avoiding the singularity but we 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 is $`\epsilon = 0.7H`$ where $`H`$ is the disc  scale height.
+A value often used for the smoothing is $`0.7H`$ where $`H`$ is the disc  scale height. We remark that the 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:
 ```
     Smoothing
@@ -52,7 +52,7 @@ To select this choice for a simulation in the config file:
     }
 ```
 
-We remark that the parameter $`\epsilon`$ is considered in the code in units of the Hill radius and not in disc scale height.
+