Astronomy and Astrophysics – Astronomy
Scientific paper
Oct 2008
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2008acasn..49..425g&link_type=abstract
Acta Astronomica Sinica, vol. 49, no. 4, p.425-433
Astronomy and Astrophysics
Astronomy
Moon: Libration, Moon: Gravity Field
Scientific paper
In 1799 Laplace had discovered that the lunar three principal momentum are not in equilibrium with the Moon's current orbital and rotational state.Some authors suggested that the Moon may carry a fossil figure. Before more 3 billion years the liquid Moon was closer to the Earth and revolved faster.Then the Moon migrated outwards and revolved slow down. During the early part of this migration, the Moon was continually subjected to tidal and rotational stretching and formed into an ellipsoid. Then the Moon cooled and solidified quickly. Eventually, the solid Moon's lithosphere was stable, so that we may see the very early lunar figure. In this paper, by using the lunar libration parameters and the spherical-harmonic gravity coefficient, the length of three radii a, b, c of the ellipsoid and the Moon's figure as an equilibrium tidal have been calculated. Then three conclusions can be obtained; (1) In the beginning the Moon may be very close to the Earth, before about 3 billion years the moon may cooled and solidified, and the present Moon are in the fossil figure. (2) In the third section of this paper, we demonstrate that the tidal deformation of liquid Moon was 1.934 times then the equilibrium tide. So that if to calculating the true lunar figure by using the lunar spherical-harmonic gravity coefficients, the effects of Liquid Love number hf = 1.934must be considered. (3) According to the difference between a, b, and c, the lunar distance (1.7455×108m) and spin period 3.652day can be calculated. So that the lunar orbits period was 8.34day. Hence the Moon was locked closely into a resonance orbit in the ratio 2:1 when the Moon froze.
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