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Did I try other "quality functions" ?

Yes I did. Early in the research, it seemed to me that the first quality function used was rather primitive and that there should be a physical cause under it. If a syzygie gives an effect, it must be through the initiation of an hydrodynamic or acoustic process in the sun. The exchange of energy beetween the sun and the planets at the syzygie must be an increasing function of the intensity of the tidal wave, but also of its duration. I tried to plot another quality function, making a time integral of the previous simple linear decreasing function during all the time of the syzygie (the time during which the angular sector is smaller than the 15 degres limit).

One can find in my program the two quality functions : "p" stands for the simple linear function,"q" for the time integral of it. The plot of the "q" function for the 1700-2020 period (bars for the syzygies and light green curve for the filtered signal) shows a more sharp curve than with the p function, which is in good correlation with the average shape of the sunspot numbers curve.

One can see on a longer period (1400-2050) a modulation, stronger than with the p function.


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