I Lunar apsidal precession relative to equinox

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The lunar apsidal precession period is approximately 8.8506 years when measured against fixed stars. To convert this period to alignments with the spring equinox, one can use specific formulas that account for the differences in precession directions. The calculations involve the relationship between lunar apsidal precession and general precession, recognizing that lunar precession is prograde while equinox precession is retrograde. The suggested formulas include 1/(1/pApsidal + 1/25772.) and 1/(1/pApsides +(1-Sidereal_year/Tropical_year)). Understanding these relationships is crucial for accurate astronomical calculations.
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The period of the lunar apsidal precession is about 8.8506 years measured against fixed starts. How can I accurately convert this to the period between alignments with spring equinox?

Thanks.
 
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since lunar apsidal precession is prograde and general precession ( equinox ) is retrograde, is this correct?

1/(1/pApsidal + 1/25772.)

1/(1/pApsides +(1-Sidereal_year/Tropical_year))
 
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