Errors in the J3 Part of Nutation Series

Astronomy and Astrophysics – Astronomy

Scientific paper

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Earth, Celestial Mechanics

Scientific paper

This paper points out that the nutation terms of Zhu & Groten [AJ, 98, 1104 (1989)] 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 [Celest. Mech., 48, 187 (1990)]. These errors explain the discrepancies between the evaluation of the theories of Zhu & Groten (1989) and Kinoshita & Souchay (1990), which can reach values up to 165 μas. 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 J3 nutation terms are also erroneous.

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