Smoothed monthly mean coronal mass ejection ( CME ) parameters ( speed , acceleration , central position angle , angular width , mass and kinetic energy ) for Cycle 23 are cross-analyzed , showing a high correlation between most of them .
The CME acceleration ( a ) is found to be highly correlated with the reciprocal of its mass ( M ) , with a correlation coefficient r = 0.899 .
The force ( Ma ) to drive a CME is found to be well anti-correlated with the sunspot number ( R _ { \mathrm { z } } ) , r = -0.750 .
The relationships between CME parameters and R _ { \mathrm { z } } can be well described by an integral response model with a decay time scale of about 11 months .
The correlation coefficients of CME parameters with the reconstructed series based on this model ( \overline { r } _ { \mathrm { f 1 } } = 0.886 ) are higher than the linear correlation coefficients of the parameters with R _ { \mathrm { z } } ( \overline { r } _ { \mathrm { 0 } } = 0.830 ) .
If a double decay integral response model is used ( with two decay time scales of about 6 and 60 months ) , the correlations between CME parameters and R _ { \mathrm { z } } improve ( \overline { r } _ { \mathrm { f 2 } } = 0.906 ) .
The time delays between CME parameters with respect to Rz are also well predicted by this model ( 19/22 = 86 % ) ; the average time delays are 19 months for the reconstructed and 22 months for the original time series .
The model implies that CMEs are related to the accumulation of solar magnetic energy .
The relationships found can help to understand the mechanisms at work during the solar cycle .