Physics – Geophysics
Scientific paper
Dec 1966
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1966papge..63..109m&link_type=abstract
Pure and Applied Geophysics PAGEOPH, Volume 63, Issue 1, pp.109-120
Physics
Geophysics
Scientific paper
The standard formulation of the dynamics of physical librations of the Moon is re-examined in the light of currently accepted reduced estimates of the mechanical ellipticity of the lunar equator. It is seen that a more complete mathematical model is required which accounts for centrifugal couples and in which the sum of inclinations of lunar orbit (5°9') and equator (1°30') is not regarded as an infinitesimal quantity. Although it remains doubtful whether linearized differential equations can be expected to yield a quantitatively useful theory, a preliminary to more accurate calculation consists in analyzing the motion with fewer restrictions than has been customary. The main features of such a treatment are given which unify the classical analysis by showing how the afore-mentioned inclinations can be used to estimate the two principal mass parameters that affect physical librations. When accurate short-period libration data become available, the constants in question can be evaluated without recourse to orbital data used in the past.
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