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| author | Charles Karney <charles.karney@sri.com> | 2020-10-22 11:01:29 -0400 |
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| committer | Charles Karney <charles.karney@sri.com> | 2020-10-22 11:01:29 -0400 |
| commit | 02ef4ed32e15ea386ad3285e72e1bb7e4c188f05 (patch) | |
| tree | dedd477f542c9b8e13a64f4914c63c9eeed69b73 /docs/plot | |
| parent | b61a1d0575791173bbcc9c61f8c19acd52e1162f (diff) | |
| download | PROJ-02ef4ed32e15ea386ad3285e72e1bb7e4c188f05.tar.gz PROJ-02ef4ed32e15ea386ad3285e72e1bb7e4c188f05.zip | |
Flesh out the documentation for Mercator
This addresses item 1 in issue #2387
Things to note:
* I made "editorial" changes to the text. The virtues and vices of
Mercator are a hot topic. So check these out. (I judged that the
text I replaced to be pretty misleading.)
* I include the radius of the sphere/ellipsoid in the formulas (and I
did this also for my mods for tmerc documentation). Surely this is
better than leaving the reader to figure out how this is introduced.
* I include the "old-style" (ca 18th century) formulas and the newer
ones in terms of hyperbolic functions. The former may be the familiar
ones, but the latter are better for computation (more succinct, more
accurate, faster, preserve parity).
* For the inverse ellipsoidal transformation, I just say that the
formula for psi is inverted iteratively. This is probably sufficient,
but it could be expanded later.
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