1. Equations (45) and (47) represent the (1,1) and (3,3) elements (3 x 3's) of 'vJ, nnd are in a form which can be readily programmed on a digital computer. P; kand Q.;1, have particulai: exp1.·essions associated with each set of subscript values which are obtained directly by taking rivatives of t-he elements of A and 8 with respect to the various Euler ,mg les in accord,mce with the definitions of Pc; It and Q;_i k . These cxpressi ons were derived for a l, 2, 3 Euler rotation sequence and wei:e programmed to be evaluatE'd ns necessary. Since the (2,2) element (3 x 3) of 'v'c1is expressed in final form in equation (36), and all of the other clerncnts arc zero, the 2. 0 .10 "'"'"t-r"T'4-