On the relation between the solar activity cycle and the solar tidal force induced by the planets

Abstract

The cross-correlation coefficient γ(t) of the solar tidal force induced by the planets f(x + t) with the sunspot number g(x) during a period of 44 years is about -0.7 when t is about -2 years. This fact will be useful for predicting solar activity. The solar tidal force was calculated from 1928 to 1971 for every degree on the equatorial plane and every time every planet moves one degree. As the solar tidal force, we used the moving annual average by months of the square of the vertical tidal force on the sun, and as the sunspot number we used the Zürich mean annual sunspot number.