Adrian
George Thomas's proportions for aesthetically appealing ball handles ( listed in his Model Engineer's Workshop Manual, also ME 3 Feb 78 ) are as follows:
The large ball diameter (D), 2 to 2.4 x the thread diameter
The small ball from 0.75D to 0.80D
the length of the handle, between ball centres, from 2.5 to 3.5D
Diameter of the shank at either end, not more than .5 of the adjacent ball dia., preferably 1/32" less
Angle 10 to 20 deg.
Flat bottom on large ball turned back 0.25D, leaving dia. of the face 0.87D.
I seem to recall that Prof. Chaddock also listed proportions for ball handles in one of his articles ( can't put my hands on it at the moment). If I remember correctly they were similar but I think the shank was longer.
John Purdy