Ocular movements required in most visual functions are affected by len
ses in front of the eye. Fundamental to an understanding of these move
ments are concepts such as the ocular rotation factor and the ocular o
rientational demand. In this paper the ocular rotation factor for thin
spherical lenses is generalized for astigmatic lenses. A compact matr
ix equation is obtained for the orientational demand in the case of su
ch lenses. The equations are satisfactory in ordinary situations but t
hey break down under certain circumstances. Equations are derived for
these special circumstances in particular and also for all circumstanc
es in general.