Determining Average Tidal Effects

Maximum tidal heights vary widely across the globe, from 16 m in the Bay of Fundy to mere centimeters elsewhere. These variations are due to coastline and shoreline differences. This makes it difficult to determine a global average ocean tidal maximum height. Let's assume the Earth is a landless planet covered throughout by an average one km of ocean. How can we calculate the maximum ocean tidal height from a new moon or full moon syzygy, assuming semi-major Moon & Sun distances?

-
This is covered pretty well in Wikipedia: en.wikipedia.org/wiki/Geoid – Mark Eichenlaub Apr 15 '11 at 22:18
Mark: The article covers Earth's surface in terms of an equipotential gravitational surface, but does not address my question. How can we calculate the maximum ocean tidal height from a new moon or full moon syzygy, assuming semi-major Moon & Sun distances? – Michael Luciuk Apr 15 '11 at 22:33
Right. I had two tabs opened at once and pasted the wrong one. Obviously you want the article on tides. en.wikipedia.org/wiki/Tide Actually, it only gives the results, not the derivation – Mark Eichenlaub Apr 16 '11 at 1:12