Add attributes for the normal potential to Sphere and Ellipsoid #184
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This PR adds the property$U_0$ as defined by eq 2-123 in Hofmann-Wellenhof and Moritz.
reference_potential
to the Ellipsoid class. This isThis quantity is required in any application where it is necessary to compute the height of the geoid above the reference ellipsoid. I verified that the value of the GRS80 ellipsoid is what is in the above book.
As part of this PR, I corrected a couple minor typos:
Note:
I did not add
reference_potential
to the Sphere class. This is because (as noted in the docs), the surface of a rotating sphere does not correspond to an equipotential.We could perhaps instead add
I'm happy to add if others think this is useful. GM/R appears everywhere when working with gravity fields of bodies like the Moon, so maybe it would be useful.
Relevant issues/PRs:
Relevant to #151