The problem of launching vessel's in restricted water is only made possible by drag's, piles of chain, or steel plates attached to the ship by cables or steel wire ropes which are of such a length(s) that they become taught when the vessel nears the way end's and thereafter tow the weight of the drag's over the surface of the Yard and create a resistance which slow's and stop's the vessel. The problem for the builder is the proportion of the weight of drags to the weight of the vessel and declivity of launch and to determine the position's at which they will come into action so that the resistance of the drags is withheld until the vessel clear's the slipway. As Billy has indicated it is not an exact science and is based on data collected from previous launches, even sister ship's do not launch the same, however if there is a chance of a vessel hitting the opposite bank it is usual for for some or all the chain's to be attached to one side of the ship so that it end's up parallel to the centreline of the waterway. There are indeed equation's for the launching of various types of vessel's based on their weight, total fall of her Cof G and the weight of the drag's by the distance they are moved. There was also a "machine" for recording launching velocities which gave a reading on a strip of paper by means of a pens, bit's of string and an electric current known as the Fairfield travel measurer. I would suggest that the vessel being launched had more drag on one side than the other and either a mis-calculation by the launching party or an equipment failure because of age would cause the incident as the same equipment is used time and time again to keep cost's down.