Hi Wirechief,
As a Ham, you know that the 11-year sunspot cycle affects radio communications owing to the changes in the ionosphere. The magnetic field fluctuations are too small to affect metal detectors.
However, the moon is much closer than the sun. Furthermore, the moon maintains its position so that the same face is always turned toward the earth. In addition to causing the ocean tides, the moon causes "magnetic tides", which cause all the magnetic domains in the soil minerals to be oriented in a direction pointing toward the moon, when the moon is full.
Thus, at full moon, the magnetic susceptibility of the soil is enhanced, permitting a deeper penetration by the field from the transmitter coil.
Normally, the random orientation of the domains has to be overcome by the detector field. When the domains are pre-aligned by the moon's field, much less energy is extracted from the detector's field, which results in deeper penetration.
However, the polarity of the transmitter pulse has to be the same as the moon's field, otherwise, lesser penetration results.
Ft = Fm + Fc x (1-Exp (t/T) Where Ft = the total field; Fm is the moon's field and Fc is the field from the transmitter coil. t = the running time and T = the time constant of the transmitter coil, which is the ratio between its inductance and resistance.
It's obvious from the equation that for maximal performance Fm and Fc must have the same sign.
I am currently working on Moon-Enhanced Detector technology--stay tuned!
P. Al, NB6K