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# Laplace Tidal Equation

 Introduced to this PDE from a really interesting on analog computers. Theis also historically insightful.

* ​(u,v)(u,v)(u,v)... latitudinal (ϕ\phiϕ) and longitudinal(λ\lambdaλ) velocity components
* ​DDD... mean *thicc*ness
* ​ζ\zetaζ... tidal elevation
* ​Ω\OmegaΩ... planetary rotational frequency
* ​ggg... gravitational acceleration
* ​aaa... planetary radius

​UUU... external gravitational tidal potential