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Sep 2, 2022 at 19:00 comment added David Hammen @MatthewChristopherBartsh As far as I'm concerned, I did answer your question. If you have a more detailed question, ask it as a question rather than in comments. Regarding the question of "what number slight greater than one", the answer is 1.00273781191135448. Another way to write that is 1+1/365.25518639637635. That's the constant IERS uses as the ratio between mean solar day and mean sidereal day. Regarding DUT1, that is what is shown in the graph in the question.
Sep 1, 2022 at 10:44 comment added Matthew Christopher Bartsh Firstly, you didn't answer my question. Secondly, what number slightly greater than one? Thirdly, how is DUT1 relevant? Fourthly, the equation of time would not get in the way if you spoke of the spin rotational period of the Earth.
Aug 29, 2022 at 5:36 comment added David Hammen @MatthewChristopherBartsh The mean solar day is currently defined as the sidereal day times a number slightly greater than one. The researchers who determine the value of DUT1 are in fact measuring the variation in the length of a sidereal day as the latter is observable to a much higher degree of precision than is the variation in the length of a solar day. As a side benefit, the equation of time does not get in the way.
Aug 29, 2022 at 2:57 comment added Matthew Christopher Bartsh "Suppose the Earth's rotation rate held steady at one mean solar day per 86,400.002 seconds, the average rotation rate over the last several decades." The mean solar day is not the same as the period of rotation of the earth, and isn't it the latter that is a measure of the rate of rotation of the earth, while the former is a measure of the combination of the spin of the earth and its orbit of the sun? Wouldn't it be better to speak of the rotational period of the earth?
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