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Update Gravitational Potential including indirect terms
authored
Apr 28, 2021
by
Elena Lega
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The gravitational potential entering in the source terms of the Navier-Stokes equations is the sum of multiple terms:
1.
##The potential from the central massive body (primary of mass $
`M_*`
$):
##
The potential from the central massive body (primary of mass $`M_*`$):
$
`\Phi_*=-{{ G M_*} \over {r}}`
$
2.
##The potential form the planets of mass $m_p$.
##
The potential form the planets of mass $m_p$.
Below we consider the case of one single planet, easily extended to multiple planets.
-
In the 3 Dimensional case
we use a cubic-potential of the form:
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@@ -54,7 +54,7 @@ To select this choice for a simulation in the config file:
}
```
3.
##The indirect terms
##
The indirect terms
This term in the potential accounts for the acceleration of the primary
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