Hence, he incorporated solar motion into the eclipse theory.
2.
From the comparison of formulae ( 2 ) and ( 3 ), both of which express the same real solar motion in the same real time but on different time scales, Clemence arrived at an explicit expression, estimating the difference in seconds of time between ephemeris time and mean solar time, in the sense ( ET-UT ):
3.
The ephemeris second, based on a fraction of the tropical year derived from Simon Newcomb's expression for the mean solar motion, became a standard in 1960, but in 1967, at the 13th Conf�rence G�n�rale des Poids et Mesures, the second was redefined in terms of a value for the ephemeris second that had been precisely measured by Essen in collaboration with William Markowitz of the United States Naval Observatory in terms of the frequency of a chosen line from the spectrum of caesium.
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