At a ship's magnetic silencing facility, calibration measurements are taken of onboard magnetic fields, and the off-board magnetic signature is minimized through an iterative degaussing process. Current data associated with the signature minimization is retained by a processor-controller implemented, along with degaussing coils and other apparatus, in a CLDG system effectuated onboard in a manner continually adaptive to changing conditions while voyaging. According to the CLDG methodology: Real time measurements are taken of the onboard magnetic fields, and are modified to account for the degaussing coils' magnetic effects. Via least squares fit mathematics, scale factors are calculated based on the relationship between (i) the real time measurements (as modified) of the onboard magnetic fields and (ii) the calibration measurements of the onboard magnetic fields. The scale factors and the current data are multiplied, the resultant products are summarized, and the ship's degaussing is caused to occur correspondingly with the summarization.