What is approximate numerical equation of the apsidal precession of the Earth-Moon barycenter? Or is it only constant 11.45 arcsec/year with unchanged accuracy to 0.01 arcsec/year for a million years? And changes of the planets orbits do not influence on the apsidal precession of the Earth-Moon barycenter at time interval of a few millions years?
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I think The constant $11.45 arcsec/year$ is The Perhelion shift of the Earth i.e apsis between the earth and the Sun not the earth-moon barycenter – Jan 04 '23 at 15:36
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2@ScienceAJ Imyaf isn't talking about the apsidal precession of the Earth and Moon about the EMB, they're asking about the precession of the EMB's solar orbit. – PM 2Ring Jan 04 '23 at 23:21
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1@ScienceAJ The Earth's orbit around the Sun is only approximately a Keplerian ellipse. A better approximation considers the EMB (Earth-Moon barycentre) as the entity orbiting the Sun. Of course, that isn't a perfect Kepler orbit either, but we can approximate it quite well as an ellipse which slowly varies. I have some info related to the EMB aphelion here: https://astronomy.stackexchange.com/a/49605/16685 – PM 2Ring Jan 04 '23 at 23:30
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Thanks @PM2Ring. – Jan 05 '23 at 04:11
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@PM2Ring Yes, the question is about the EMB orbit around Sun. Do JPL Horizons contains a table or a graph for the aphelion or perihelion time of EMB by thousands years? – Imyaf Jan 05 '23 at 04:32
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1@Imyaf The Horizons data for the Sun and the EMB spans 20,000 years. See https://ssd.jpl.nasa.gov/horizons/time_spans.html JPL have data beyond that range, but it's not accessible through Horizons. The Horizons system only provides numerical data. If you want graphs you have to make them yourself, eg by writing code or using a spreadsheet. – PM 2Ring Jan 05 '23 at 08:25
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Planets probably may interfere and cause Perturbations that changes however this effect would be extremely tiny – Jan 05 '23 at 14:22