The Moon’s physical librations and determination of their free modes

@article{Rambaux2011TheMP,
  title={The Moon’s physical librations and determination of their free modes},
  author={N. Rambaux and James G. Williams},
  journal={Celestial Mechanics and Dynamical Astronomy},
  year={2011},
  volume={109},
  pages={85-100}
}
The Lunar Laser Ranging experiment has been active since 1969 when Apollo astronauts placed the first retroreflector on the Moon. The data accuracy of a few centimeters over recent decades, joined to a new numerically integrated ephemeris, DE421, encourages a new analysis of the lunar physical librations of that ephemeris, and especially the detection of three modes of free physical librations (longitude, latitude, and wobble modes). This analysis was performed by iterating a frequency analysis… 

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References

SHOWING 1-10 OF 46 REFERENCES

Free librations of the moon determined by an analysis of laser range measurements

Among the lunar laser range measurements obtained during the past six years at McDonald Observatory, those available cover the period August 1969-November 1974, being 1377 normal observations made on

Free librations of the moon from lunar laser ranging.

Analyses of the lunar laser ranging measures, performed at the McDonald Observatory during these last six years, has permitted the improvement of a number of parameters relative to the Earth-Moon

A new determination of lunar orbital parameters, precession constant and tidal acceleration from LLR measurements

An analysis of Lunar Laser Ranging (LLR) observations from January 1972 until April 2001 has been performed, and a new solution for the lunar orbital motion and librations has been constructed that

Lunar Laser Ranging: A Continuing Legacy of the Apollo Program

TLDR
Laser ranging analysis has provided measurements of the Earth's precession, the moon's tidal acceleration, and lunar rotational dissipation, and the verification of the principle of equivalence for massive bodies with unprecedented accuracy.

Dynamical consequences of meteorite impacts on the Moon

The magnitudes of the excitation of free precession of the lunar spin axis about the position defined by Cassini's laws, free libration in longitude, and free wobble are determined as a function of

Passing through resonance: The excitation and dissipation of the lunar free libration in longitude

The acceleration of the mean lunar longitude has a small effect on the periods of most terms in a Fourier expansion of the longitude. There are several planetary perturbation terms that have small

Estimation of the lunar physical librations

The recent long-term integration of JPL ephemeris DE403/LE403 yielded lunar physical librations covering 6000 years. A Fourier analysis of a 718-year subset of this span produced estimates of the

The free librations of a dissipative Moon

  • C. F. Yoder
  • Physics
    Philosophical Transactions of the Royal Society of London. Series A, Mathematical and Physical Sciences
  • 1981
Dissipation in the Moon produces a small offset, ca. 0.23", of the Moon's rotation axis from the plane defined by the ecliptic and lunar orbit normals. Both solid body tidal friction and viscous

Planetary perturbations on the Libration of the Moon

A theory of the libration of the Moon, completely analytical with respect to the harmonic coefficients of the lunar gravity field, was recently built (Moons, 1982). The Lie transforms method was used