Numerical model of the moon's rotation

Details Numerical model of the moon's rotation Numerical model of the moon's rotation

May 1981

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1981m%26p....24..281c&link_type=abstract

Moon and the Planets, vol. 24, May 1981, p. 281-289.

Astronomy and Astrophysics

Astronomy

9

Astronomical Models, Lunar Rangefinding, Lunar Rotation, Mathematical Models, Differential Equations, Euler Equations Of Motion, Inertial Coordinates, Laser Range Finders, Moments Of Inertia, Numerical Integration

Scientific paper

The differential equations for the Euler angles that define the moon's orientation with respect to an inertial coordinate frame have been integrated numerically. This numerical model of the moon's rotation, when used in conjunction with current lunar-orbit and earth-rotation models, fits lunar laser ranging observations over a five-year period within 28 cm (rms). The present model is also compared with the numerical model of Williams (1975) and Eckhardt's (1981) semianalytical model.

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