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Table 3.

Precession corrections and indirect effects on nutation.

Mass redistribution Second order Total
This work (WB2016) (b) (Baenas et al. 2017)

Precession (a) (mas cy−1) Longitude rate: −43.945 (−42.985) −55.291 (−8.511) −99.236 (−51.496)
Obliquity rate: 0.934 (0.594) 0 (0) 0.934 (0.594)
Relative Hd change (ppm): +8.5 +1.7 +10.2

Θi Period Indirect effects on nutation (μas)


l l F D Ω (days) Δψ (sin) Δε (cos) Δψ (sin) Δε (cos) Δψ (sin) Δε (cos)
0 0 0 0 1 −6798.36 −146.74 78.51 −29.06 15.55 −175.80 94.06
0 0 0 0 2 −3399.18 1.77 −0.77 0.35 −0.15 2.12 −0.92
0 1 0 0 0 +365.26 1.25 0.06 0.25 0.01 1.51 0.07
0 0 2 −2 2 +182.62 −11.23 4.89 −2.22 0.97 −13.46 5.85
0 0 2 0 2 +13.66 −1.94 0.83 −0.38 0.17 −2.33 1.00

Notes. (a) In parentheses, the deviation of the precession component from the IAU2006 value. (b) Using the Love numbers model of the Earth with oceans from Williams & Boggs (2016).

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