Estimation of the Earth's "Unperturbed" Perihelion from Times of Solstices and Equinoxes

Authors: James A. Smith

Published times of the Earth's perihelions do not refer to the perihelions of the orbit that the Earth would follow if unaffected by other bodies such as the Moon. To estimate the timing of that ``unperturbed" perihelion, we fit an unperturbed Kepler orbit to the timings of the year 2017's equinoxes and solstices. We find that the unperturbed 2017 perihelion, defined in that way, would occur 12.93 days after the December 2016 solstice. Using that result, calculated times of the year 2017's solstices and equinoxes differ from published values by less than five minutes. That degree of accuracy is sufficient for the intended use of the result.

Comments: 13 Pages.

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Submission history

[v1] 2017-12-28 08:23:54
[v2] 2017-12-31 19:31:55
[v3] 2018-04-23 22:13:50

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