Analysis of lunar occultations. II - Personal equation. III - Systematic corrections to Watts' limb-profiles for the moon

Astronomy and Astrophysics – Astronomy

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Libration, Lunar Limb, Lunar Occultation, Lunar Phases, Stellar Magnitude, Stellar Occultation, Data Reduction, Elongation, Position (Location), Stellar Luminosity

Scientific paper

From an analysis of 42,000 timings of occultations of stars by the moon in the period 1943-1979, it is found that the observers' personal equation is dependent on the phase of the moon and the magnitude of the star. Expressions for this dependence are obtained for two different methods of timing. Timings of 66,000 occultations of stars by the moon are then analyzed for systematic corrections to the limb-profile heights taken from Watts' charts of the marginal zone of the moon. The radius, shape and location of the center of the datum implicit in the charts are found to vary with libration, and these variations lead to systematic errors in the limb-profile heights which attain 0.4 arcsec in some position angles.

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