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.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Acic: 1965, Tech. Rept. No. 15, by D. L. Meyer and B. W. Ruffin.
Acic: 1966, Unpublished (private information).
Bray, T. A. and Goudas, C. L., 1966, Icarus 5 (in press).
Carson, D., Davidson, M., Goudas, C. L., Kopal, Z., and Stoddard, L. G.: 1966, Icarus 5, 334.
Eckhardt, D. H.: 1966, Icarus 5, 313–316.
Franz, J.: 1901, Mitt. Sternw. Breslau 1, 1–48.
Goudas, C. L.: 1963, Univ. Manchester Dept. Astronomy, Techn. Rept. No. 1, under Contract AF 61 (052)-524.
Goudas, C. L.: 1963a, Icarus 2, 423–439.
Goudas, C. L.: 1964, Icarus 3, 375–409.
Goudas, C. L.: 1965, Icarus 4, 188–206.
Goudas, C. L.: 1965a, Icarus 4, 218–221.
Goudas, C. L.: 1965b, Icarus 4, 528–543.
Goudas, C. L.: 1966a, in Advances in Astronomy and Astrophysics (ed. by Z. Kopal). Academic Press, New York, vol. 4, p. 37.
Hayn, F.: 1914, Abh. k. sächs. Ges. Wiss., Math.-phys., Kl. 30, 1–105.
Hopmann, J.: 1967, in the present volume, pp. 282-294.
Michael, W. H., Tolson, R. H., and Gapcynski, J. P.: 1966, Science 153, No. 3740.
Potter, H. I.: 1962, in The Moon (ed. by Z. Kopal and Z. K. Mikhailov). Academic Press, New York and London, pp. 63–66.
Schrutka-Rechtenstamm, G. V.: 1958, Österr. Akad. Wiss., Math.-Naturw. Kl., Sitzber. Abt. II 167, 71–106.
Schrutka-Rechtenstamm, G. V.: 1966, private information.
Spencer Jones, H.: 1932, Ann. Cape. Obs. 13, 70.
Watts, C. B.: 1963, Astr. Paper No. 17, Am. Ephem. and Naut. Almanac, U.S. Govt. Printing Office, Washington, D.C.
Weimer, TH.: 1961, in Problems of Lunar Topography (ed. by Z. Kopal and E. B. Finlay) (Astr. Contr. Univ. Manchester, Ser. Iii, No. 90), p. 91.
Yakovkin, A. A.: 1952, Trans. I.A.U. 8, 231.
Yakovkin, A. A.: 1958, Trans. I.A.U. 10, 268.
Yakovkin, A. A.: 1962, in The Moon, A Russian View (ed. by A. V. Markov). University of Chicago Press, Chicago, pp. 3–53.
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 1967 D. Reidel Publishing Company
About this paper
Cite this paper
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
Download citation
DOI: https://doi.org/10.1007/978-94-010-3529-3_19
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-010-3531-6
Online ISBN: 978-94-010-3529-3
eBook Packages: Springer Book Archive