A New Algorithm to Accelerate Harmonic Analysis of Time Series

Table 6

Estimated harmonic content of the IAU2000A series by using the non-linear harmonic method with the patched periodogram. Mixed secular terms.

No.	𝑃^a (days)	𝑆𝑆^b (𝜇 as)	𝐶𝐶^c (𝜇 as)	𝑆𝑆^d (𝜇 as)	𝐶𝐶^e (𝜇 as)
6	651.80±5.49	0.0142±0.0028	−0.0321±0.0028	0.0387±0.0041	0.0122±0.0040
8	17.75±0.00	−0.0002±0.0027	0.0026±0.0028	0.0328±0.0037	−0.0062±0.0039
11	378.99±2.18	−0.0251±0.0027	−0.0033±0.0029	−0.0064±0.0039	−0.0265±0.0042
13	11.47±0.00	−0.0069±0.0027	0.0005±0.0028	−0.0110±0.0038	0.0275±0.0038
15	12.22±0.00	0.0035±0.0028	0.0217±0.0027	−0.0096±0.0038	0.0053±0.0037
20	46.84±0.06	−0.0061±0.0027	−0.0019±0.0028	0.0195±0.0038	−0.0115±0.0038

^aEstimated value of the periods included in the functional model.
^bLinear coefficient of the sinus Fourier term for 𝑑𝑋 and for the period that appears at the same row.
^cLinear coefficient of the cosinus Fourier term for 𝑑𝑋 and for the period that appears at the same row.
^dLinear coefficient of the sinus Fourier term for 𝑑𝑌 and for the period that appears at the same row.
^eLinear coefficient of the cosinus Fourier term for 𝑑𝑌 and for the period that appears at the same row.