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Effects of a physical librations of the moon caused by a liquid core,and determination of the fourth mode of a free libration |
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| Authors: | Yu V Barkin H Hanada K Matsumoto S Sasaki M Yu Barkin |
| Institution: | 1. National Astronomical Observatory of Japan, Mizusawa, Japan 2. Sternberg Astronomical Institute, Moscow State University, Moscow, Russia 3. Moscow Aviation Institute, Moscow, Russia |
| Abstract: | An analytical theory of lunar physical librations based on its two-layer model consisting of a non-spherical solid mantle and ellipsoidal liquid core is developed. The Moon moves on a high-precision orbit in the gravitational field of the Earth and other celestial bodies. The defined fourth mode of a free libration is caused by the influence of the liquid core, with a long period of 205.7 yr, with amplitude S = 0″0395 and with an initial phase Π0 = ?134° (for the initial epoch 2000.0). Estimates of dynamic (meridional) oblatenesses of a liquid core of the Moon have been estimated: ?D = 4.42 × 10?4, μD = 2.83 × 10?4 (?D + μD = 7.24 × 10?4). These results have been obtained as a result of comparison of the developed analytical theory of physical librations of the Moon with the empirical theory of librations of the Moon constructed on the basis of laser observations. |
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