Errors in the standard reductions for aberration can sometimes reach 0" 0I (at declinations below 700) if second-order corrections are not applied. If that is acceptable, the previously-published computer program for C and D can be simplified to C = - 8" O-o . #.00787cosJ and D = - o" 6sin #. .00858sinJ where Q contains only four terms, and M and J are the mean longitudes of the Moon and Jupiter. This program has been extensively compared with the previous very precise one, and the standard deviations are + 0 00I7 and t 0#.00I8 in C and D respectively. If the terms in M and J are also dropped, the values become + 0" 0078 and + o" oo8 , and even these can be accepted in most radial velocity work.