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Update Gravitational Potential including indirect terms authored by Elena Lega's avatar Elena Lega
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Code-equations/Gravitational-Potential-including-indirect-terms.md
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...@@ -27,7 +27,13 @@ To select this choice for a simulation in the config file: ...@@ -27,7 +27,13 @@ To select this choice for a simulation in the config file:
Size 0.4 # smoothing parameter in units of the planet Hill radius Size 0.4 # smoothing parameter in units of the planet Hill radius
} }
``` ```
![SmoothingPotWiki](uploads/73ba8941570d358cbad84004cbd41548/SmoothingPotWiki.png)
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<img src="uploads/73ba8941570d358cbad84004cbd41548/SmoothingPotWiki.png"
width="220" height="220">
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 length. 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. $`d -> 0`$. 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.
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