Abstract
Detailed studies of the existing control systems and comparison of the results obtained from each one with the expected values for the second zonal harmonic show that all systems leave something to be desired in accuracy. Out of them, the ACIC (1965) system can be said with certainty to be closer to the required accuracy, whereas the quality of the new (1966) system has definitely dropped. The quality of the new system by SCHRUTKA-RECHTENSTAMM (1966) is low if compared with his earlier system (1958); this seems to be due to the unsuitable photography used.
The gravity zonal coefficients computed here can be wrong only if the data are not accurate enough or if the Moon is not sufficiently of uniform density – the former being a stronger reason than the latter. The tesseral and sectorial harmonics of both the figure and gravity field are affected by the assumption of symmetry, which can be true only to a small extent, and then not for all the harmonics. The preliminary Lunar Orbiter data have already indicated (Michael et al., 1966) that the symmetry assumption is reasonable for zonal harmonics. This is not entirely true for the others.
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Goudas, C.L. (1967). Harmonic Analysis of the Moon’s Shape and Gravitational Field. In: Measure of the Moon. Astrophysics and Space Science Library, vol 8. Springer, Dordrecht. https://doi.org/10.1007/978-94-010-3529-3_19
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