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For the current Julian Era (from 1, 1, 4713 BCE to modern day), I am looking for a raw data tables or a model that allows to predict the following events related to apparent motion of Sun and Moon:

  • Julian Days (with fractional part for UTC time) of Equinoxes and solstices within a given (Proleptic if needed) Julian or (Proleptic if needed) Gregorian year.
  • Julian Days (with fractional part for UTC time) of all full moons/new moons within a given (Proleptic if needed) Julian or (Proleptic if needed) Gregorian year.
  • Julian Days (with fractional part for UTC time) of all full lunar and solar eclipses and the coordinates where Sun-Moon/Moon where in zenith at that moment with given range of Julian day numbers.

I also would like to know if there any reliable model that allows to predict UTC times of sunrises/sunsets and moonrises/moonsets at given local geographical coordinates at given Julian Day Number or (Proleptic if needed) Gregorian/Julian calendar date.

References to raw data, useful software or even useful mathematical equations and Python modules would be appreciated. Thanks!

Suiinditor Impudens
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    You can get Sun & Moon data from Horizons. But you can't determ8ne UTC for times in the distant past or future, due to the irregularity in the Earth's rotation. See https://astronomy.stackexchange.com/a/40867/16685 & https://www.eclipsewise.com/help/uncertainty2004.html – PM 2Ring Dec 27 '23 at 11:58
  • I don't have any links to give, but you should be able to find a lot of study on solar eclipses, as historical records of them are often used to measure the irregularity in the Earth's rotation. – Greg Miller Dec 27 '23 at 19:09
  • @PM2Ring Thanks! But generally, what we know, is good enough to get standard deviation of about an hour in Bronze Age and Antiquity, right? Its my primary interest. – Suiinditor Impudens Dec 27 '23 at 19:36
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    As @PM2Ring cited, https://www.eclipsewise.com/help/uncertainty2004.html tells us that we'd be looking at standard deviations of ~4.5 hours at 4000 BCE. – Michael Bonnet Dec 30 '23 at 00:10

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