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Dynamics of the Moon

Published online by Cambridge University Press:  07 February 2017

Sir Harold Jeffreys*
Affiliation:
St. John's College, Cambridge, England

Abstract

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Koziel's results on the librations have been rediscussed. Some serious departures from independence of the errors were detected and have been allowed for. The results are

β = 0.0006271 ± 0.0000010

γ = 0.0002362 ± 0.0000082

These do not differ much from Koziel's values but the uncertainties are larger. Both are consistent with results previously derived by comparison of results of different authors, and γ is consistent with a reinterpretation of a result of Yakovkin.

The effect of elasticity is considered. It is shown that the elastic strain does not contribute to the librations but would affect the perturbations of a satellite. Allowance for this difference reduces Michael's estimate of 0.4015 for C/Ma2 to 0.4001 ± 0.0030, which would be consistent with either uniform density or with the value I found in 1936 after allowance for compressibility and a possible thin surface layer, namely 0.3971 ± 0.0007.

Type
Part II: Scientific Papers
Copyright
Copyright © Reidel 1972 

References

Jeffreys, H.: 1971, Monthly Notices Roy. Astron. Soc. 153, 73.Google Scholar