E546 -- De statu aequilibrii maris a viribus solis et lunae sollicitati

(English Translation of Title)

(based on Eric J. Aiton's introduction (written in English) to Opera Omnia Series 2, Volume 31)
In this work, Euler explains his theory of the tides on the basis of the principle (stated in E225) that in a state of equilibrium, the potential (the action of the forces) is constant over the surface of the water. He refutes the view that the height of a tide depends on the density of water, and he determines, in the equilibrium hypothesis, the elevation or depression at any point given the positions of the sun and moon. Euler also derives the elevation at poles and at the equator and also when the luminaries are in conjunction and opposition.


According to the records, it was presented to the St. Petersburg Academy on November 2, 1775.

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