Hostname: page-component-76fb5796d-zzh7m Total loading time: 0 Render date: 2024-04-27T01:03:48.189Z Has data issue: false hasContentIssue false

Estimation of the Lunar Physical Librations

Published online by Cambridge University Press:  12 April 2016

X X Newhall
Affiliation:
Jet Propulsion Laboratory, California Institute of Technology Pasadena, California, USA
J. G. Williams
Affiliation:
Jet Propulsion Laboratory, California Institute of Technology Pasadena, California, USA

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

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 component frequencies of the forced and free librations. A subsequent iterative least-squares estimation procedure provided precise values for phases and for time-varying amplitudes and frequencies. Two free libration modes were found; presence of a third is possible but close to the noise.

Type
Dynamics and Astrometry: Present and Future
Copyright
Copyright © Kluwer 1997

References

Calame, O.: 1977, “Free librations of the Moon from Lunar Laser Ranging”, in: Scientific Applications of Lunar Laser Ranging (Mulholland, J.D., ed.), Reidel, Dordrecht/Boston, pp. 5363.CrossRefGoogle Scholar
Dickey, J.O., Bender, P.L., Faller, J.E., Newhall, XX, Ricklefs, R.L., Ries, J.G., She-lus, P.J., Veillet, C, Whipple, A.L., Wiant, J.R., Williams, J.G., and Yoder, C.F.: 1994, “Lunar Laser Ranging: A Continuing Legacy of the Apollo Program”, science 265, 482490.CrossRefGoogle ScholarPubMed
Eckhardt, D.H.: 1981, “Theory of Libration of the Moon”, The Moon and the Planets 25, 349.CrossRefGoogle Scholar
Eckhardt, D.H.: 1982, “Planetary and Earth-Figure Perturbations in the Librations of the Moon”, in High-Precision Earth Rotation and Earth-Moon Dynamics (Calame, O., ed.), Reidel, Dordrecht/Boston, pp. 193198.CrossRefGoogle Scholar
Eckhardt, D.H.: 1993, “Passing Through Resonance: The Excitation and Dissipation of the Lunar Free Libration in Longitude”, Celest. Mech. & Dyn. Astron. 25, 349.Google Scholar
Moons, M.: 1984, “Planetary Perturbations on the Libration of the Moon”, Celest. Mech. 34, 263273.CrossRefGoogle Scholar
Williams, J.G. and Newhall, XX: 1997, “The Lunar Free Librations: Why Isn’t the Rotation Quiescent?”, to appear.Google Scholar
Yoder, C.F.: 1981, “The free librations of a dissipative Moon”, Phil. Trans. R. Soc. Lond. Series A 303, 327338.Google Scholar