Abstract
An accurate theory of the rotation of the Moon has been constructed by numerical integration. All direct perturbations on the Moon's rotational motion have been analysed. The requirements of the current observational accuracy are such that some improvements had to be added to the theoretical models. First, the gravitational figure of the Moon has been developed up to the fifth degree harmonics. Second, mutual potential effects between the figure of the Moon and the figure of the Earth have been expanded farther up. The direct action of planets must be taken into account, its effects being very small but not always negligible. The physical librations resulting of planetary effects and Earth-Moon figure-figure interactions are presented in this paper.
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References
Bois, E.: 1986, ‘First-Order Theory of Satellite Attitude Motion — Application to HIPPARCOS’, Celes. Mech. 39 (4),309–327.
Bois, E., Oberti, P. and Froeschlé, C.: 1990, ‘Etude dynamique du mouvement de rotation des noyaux cométaires’, Seconde Table Ronde de Planétologie Dynamique, Vars, Mars 90, in Nouveaux Développements en Planétologie Dynamique, D. Benest, C. Froeschlé and J.M. Petit (eds.), pp. 263–271.
Bois, E., Oberti, P. and Froeschlé, C.: 1991, ‘Gravitational Model of Comet Nucleus Rotation’, submitted to Celes. Mech.
Bois, E. and Wytrzyszczak, I.: 1990, ‘The Moon's Physical Librations—Part II: Non-Rigid Moon and Direct Non-Gravitational Perturbations’, Proceedings of the NATO Advanced Study Institute on Predictability, Stability and Chaos in N-Body Dynamical Systems, held in Cortina d'Ampezzo, Italy, Aug. 90, Edited by Archie E. Roy.
Borderies, N.: 1978, ‘Mutual Gravitational Potential of N Solid Bodies’, Celes. Mech. 18, 295–307.
Cappallo, R.J., King, R.W., Counselman III, C.C. and Shapiro, I.I.: 1981, ‘Numerical Model of the Moon's Rotation’, The Moon and the Planets 24, 281–289.
Eckhardt, D.H.: 1981, ‘Theory of the Libration of the Moon’, The Moon and the Planets 25, 3–49.
Eckhardt, D.H.: 1982, ‘Planetary and Earth Figure Perturbations in the Librations of the Moon’, High-Precision Earth Rotation and Earth-Moon Dynamics, O. Calame (ed.), pp. 193–198.
Ferrari, A.J., Sinclair, W.S., Sjogren, W.L., Williams, J.G. and Yoder, C.F.: 1980, ‘Geophysical Parameters of the Earth-Moon System’, J. Geophys. Res. 85 (B7), 3939–3951.
Migus, A.: 1977, ‘Théorie analytique de la libration physique de la Lune’, Physical Doctoral Thesis, Université de Paris VI.
Migus, A.: 1980, ‘Analytical Lunar Libration Tables’, The Moon and the Planets 23, 391–427.
Moons, M.: 1981, ‘Libration physique de la Lune’, Physical Doctoral Thesis, Facultés Universitaires de Namur.
Moons, M.: 1982, ‘Analytical Theory of the Libration of the Moon’, The Moon and the Planets 27, 257–284.
Moons, M.: 1984, ‘Planetary Perturbations on the Libration of the Moon’, Celes. Mech. 34, 263–273.
Newhall, X.X., Standish, E.M., Williams, J.G. and Jr.: 1983, ‘DE 102: A Numerically Integrated Ephemeris of the Moon and Planets Spanning Forty-four Centuries’, Astron. Astrophys. 125, 150–167.
Schutz, B.E.: 1981, ‘The Mutual Potential and Gravitational Torques of Two Bodies to Fourth Order’, Celes. Mech. 24, 173–181.
Veillet, C., Bois, E.: 1990, ‘Sélénodésie par télémétrie laser depuis la Terre’, Journée d'information sur la Lune, CNES, Toulouse, Avril 90, in Initiative Lune—Rapport Préliminaire d'Orientation, CNES.
Veillet, C., Bois, E., Chabaudie, J.E., Feraudy, D., Glentzlin, M., Mangin, J.F., Pham-Van, J. and Torre, J.M.: 1989, ‘The CERGA Lunar Laser Ranging Station’, 7th International Workshop on Laser Instrumentation, Matera, Italy, Oct. 89.
Williams, J.G., Slade, M.A., Eckhardt, D.H. and Kaula, W.M.: 1973, ‘Lunar Physical Librations and Laser Ranging’, The Moon 8, 469–483.
Wytrzyszczak, I., Bois, E.: 1990, ‘The Moon's Physical Librations — Part I: Direct Gravitational Perturbations’, Proceedings of the NATO Advanced Study Institute on Predictability, Stability and Chaos in N-Body Dynamical Systems, held in Cortina d'Ampezzo, Italy, Aug. 90, Edited by Archie E. Roy.
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Bois, E., Wytrzyszczakz, I. & Journet, A. Planetary and figure-figure effects on the moon's rotational motion. Celestial Mech Dyn Astr 53, 185–201 (1992). https://doi.org/10.1007/BF00049464
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DOI: https://doi.org/10.1007/BF00049464