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A New Determination of Planetary Precession

By using a nonlinear method of harmonic analysis, we have analyzed the motion of two angles, Ω and ε, specifying the direction of the Newtonian heliocentric orbital angular momentum of the Earth-Moon barycenter in the latest lunar and planetary ephemeris, DE405, from 1629 to 2169. Here Ω is the longitude of the node of the ecliptic of date with respect to the International Celestial Reference Frame (ICRF) equator, measured from the ICRF x-axis, while ε is the obliquity of the ecliptic of date referred to the ICRF equator. After dropping 86 Fourier terms and four mixed secular terms that were detected, we determined their secular variation in the form of quadratic polynomials as DE405 = -0.02109 + 10.54227t + 0.48609t2 and DE405 = 84,381.40578 - 46.81972t + 0.04817t2 , where the units are arcseconds and t is the time since J2000.0 measured in Julian centuries. This is the latest determination of the planetary precession in the inertial sense and referred to the ICRF.