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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_*`
$):
1.
##
The potential from the central massive body (primary of mass $
`M_*`
$):
$
`\Phi_*=-{{ G M_*} \over {r}}`
$
2.
**
The potential form the planets
**
of mass $m_p$.
2.
##
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:
...
...
@@ -54,7 +54,8 @@ To select this choice for a simulation in the config file:
}
```
3.
**The potential accounting for the acceleration of the primary (indirect terms)**
3.
##The indirect terms
This term in the potential accounts for the acceleration of the primary