Senior schools usually teach two different syllabuses in mathematics: Pure and Applied.
Pure Mathematics – the branches of mathematics that study and develop the principles of mathematics for their own sake rather than for their immediate usefulness.
Applied Mathematics – the branches of mathematics that are involved in the study of the physical or biological or sociological world.
In my day the teaching staff encouraged the elite boffins to study Pure Mathematics whilst the less talented students were herded towards Applied Mathematics.
This engrained elitist mentality [naturally] follows through into most mathematical professions.
Thus, it is more than likely that Tidal Theory has been developed by Pure Mathematicians whilst the Applied Mathematicians have been busy developing Tide Tables.
Therefore, let’s compare and contrast the achievements of the Pure and Applied professionals.
The Pure theory professional peer group have developed and polished a Tidal Theory based upon the combined gravitational forces of the Moon and the Sun.
The unique selling feature of their Tidal Theory is that gravitational forces attract water on the nearside of the Earth whilst simultaneously repulsing water on the far side [aka Far Out Theory].
Wikipedia is fulsome in its praise for Tidal Theory.
The practical Applied professional peer group have developed and polished Tide Tables that predict [high and lower] water levels [with timings] for a multitude of locations.
The unique selling feature of their Tide Tables is that they are very accurate.
Wikipedia is less than fulsome in its praise for Tide Tables and provides a less than flattering image. One can only assume that Wikipedia is policed by Pure professionals.
However, this “compare and contrast” exercise aims [in good Wikipedia fashion] to weight the odds firmly in favour of the Pure professionals.
Firstly, the selected Tide Table will be from a tropical location because the Sun and Moon are both overhead in tropics.
Thus, around midday, we should be able to witness the awesome gravitational force of the Sun and the Moon applied to a tropical sea [that lies almost directly beneath these grand celestial bodies].
Secondly, the selected Tide Table will be from a tropical location that has Mixed Tides that are clearly governed by the gravitational forces of the mighty Moon and the stupendously strong Sun.
Thirdly, the selected data will be for a day with a Solar Eclipse so that the full power of the Moon and the Sun will be combined into a majestic display of overpowering gravitational force.
Finally, as a sop to the Applied professionals the contest will use a Tide Table for one of the most important shipping lanes in the world because [hopefully] this will be some of their most accurate work.
Therefore, Cristobal [in Panama] in the Caribbean Sea is the perfect location for the compare and contrast contest of Pure Tidal Theory against Applied Tide Tables in the run up to a Solar Eclipse.
Cue drum roll.
Cue Tide Table.
Cue graphics package.
The very accurate Tide Table falsifies the Tidal Theory [and by logical extension Newtonian Gravity].
The predicted abnormally large Solar Eclipse [doubly whammy] high tide at midday is singularly absent and the sea level only just manages to scrape above the datum at midday.
Cue Double Check.
To be continued….