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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$\begingroup$ 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 $\endgroup$– user47732Jan 4 at 15:36
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2$\begingroup$ @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. $\endgroup$– PM 2RingJan 4 at 23:21
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1$\begingroup$ @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: astronomy.stackexchange.com/a/49605/16685 $\endgroup$– PM 2RingJan 4 at 23:30
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$\begingroup$ Thanks @PM2Ring. $\endgroup$– user47732Jan 5 at 4:11
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1$\begingroup$ @Imyaf The Horizons data for the Sun and the EMB spans 20,000 years. See 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. $\endgroup$– PM 2RingJan 5 at 8:25
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