I guess that S III has variation of Copal shutter, so feel free to look up info on any similar camera. Konica Auto S and Auto S2 are closest, but principles are similar, as far as shutters aren't too different and you don't do very specific adjustments.
Edit: After looking around, S III looks like Auto S model, just with selenium metering instead of CdS cell, and without A mode which were added on Auto S. Model III is completely different beast, employing Seikosha-based shutters and winding is another story. Auto S3 is small-bodied electronic shutter thing, so also not useful as guide.
wiki says: Konica S III
(1963) new chassis, similar to Auto S, also uses 47/1.9 Hexanon same as Auto S