Errors in the J(sub 3) Part of Nutation Series

This paper points out that the nutation terms of Zhu & Groten due to the tidal potential of degree 3 are erroneous. Correct values are deduced here and they coincide very well with those given in Kinoshita & Souchay. These errors explain the discrepancies between the evaluation of the theories of Zhu & Groten and Kinoshita & Souchay, which can reach values up to 165 micro arc second. Also the two leading nutation terms due to the tidal potential of degree 4 are given. Finally, some of the computer programs (NUTC.F, KSV_1994.F) for evaluating the,13 nutation terms are also erroneous.