Lunar rotational dissipation in solid body and molten core

Journal of Geophysical Research: Planets

Volumn 106, Issue E11, 2001, Pages 27933-27968

  Williams, James G ^a   Boggs, Dale H ^a   Yoder, Charles F ^a   Ratcliff, J Todd ^a   Dickey, Jean O ^a  

^a CALIFORNIA INSTITUTE OF TECHNOLOGY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

CORE (PLANETARY); LUNAR MANTLE; MOON; ROTATION; TIDAL MODELING;

EID: 0035678366     PISSN: 01480227     EISSN: None     Source Type: Journal    
DOI: 10.1029/2000JE001396     Document Type: Article

References (97)

1. Bills, B. G., Discrepant estimates of moments of inertia of the Moon, J. Geophys. Res., 100, 26,297-26,303, 1995.
2. Bills, B. G., and R. D. Ray, Lunar orbital evolution: A synthesis of recent results, Geophys. Res. Lett., 26, 3045-3048, 1999.
3. Binder, A. B., On the internal structure of a Moon of fission origin, J. Geophys. Res., 85, 4872-4880, 1980.
4. Binder, A. B., and M. A. Lange, On the thermal history, thermal state, and related tectonism of a Moon of fission origin, J. Geophys. Res., 85, 3194-3208, 1980.
5. Bois, E., and A. Journet, Lunar and terrestrial tidal effects on the Moon's rotational motion, Celestial Mech. Dyn. Astron., 57, 295-305, 1993.
6. Bois, E., F. Boudin, and A. Journet, Secular variation of the Moon's rotation rate, Astron. Astrophys., 314, 989-994, 1996.
7. Brett, R., A lunar core of Fe-Ni-S, Geochim. Cosmochim. Acta, 37, 165-170, 1973.
8. Brouwer, D., and G. M. Clemence, Methods of Celestial Mechanics, Academic, San Diego, Calif., 1961.
9. Cappallo, R. J., C. C. Counselman III, R. W. King, and I. I. Shapiro, Tidal dissipation in the Moon, J. Geophys. Res., 86, 7180-7184, 1981.
10. Chapront-Touzé, M., and J. Chapront, ELP 2000-85: A semi-analytical lunar ephemeris adequate for historical times, Astron. Astrophys., 190, 342-352, 1988.
11. Chapront-Touzé, M., and J. Chapront, Lunar Tables and Programs from 4000 B. C. to A. D. 8000, Willmann-Bell, Richmond, Va., 1991.
12. Cheng, C. H., and M. N. Toksöz, Tidal stresses in the Moon, J. Geophys. Res., 83, 845-853, 1978.
13. Christodoulidis, D. C., D. E. Smith, R. G. Williamson, and S. M. Klosko, Observed tidal braking in the Earth/Moon/Sun system, J. Geophys. Res., 93, 6216-6236, 1988.
14. Cisowski, S. M., and M. Fuller, Lunar paleointensities via the IRMs normalization method and the early magnetic history of the Moon, in Origin of the Moon, edited by W. K. Hartmann, R. J. Phyllips, and G. J. Taylor, pp. 411-424, Lunar and Planet. Inst., Houston, Tex., 1986.
15. Cisowski, S. M., D. W. Collinson, S. K. Runcorn, A. Stephenson, and M. Fuller, A review of lunar paleointensity data and implications for the origin of lunar magnetism, Proc. Lunar Planet. Sci. Conf. 13th , Part 2, J. Geophys. Res., 88, Suppl., A691-A704, 1983.
16. Dahlen, F. A., The passive influence of the oceans upon the rotation of the Earth, Geophys. J. R. Astron. Soc., 46, 363-406, 1976.
17. Dickey, J. O., J. G. Williams, and C. F. Yoder, Results from lunar laser ranging data analysis, in High-Precision Earth Rotation and Earth-Moon Dynamics, edited by O. Calame, pp. 209-216, D. Reidel, Norwell, Mass., 1982.
18. Dickey, J. O., et al., Lunar laser ranging: A continuing legacy of the Apollo program, Science, 265, 482-490, 1994.
19. Dickman, S. R., Ocean tide effects on Earth's rotation and on the lunar orbit, in Gravimetry and Space Techniques Applied to Geodynamics and Ocean Dynamics, Geophys. Monogr. Ser., vol. 82, edited by B. E. Schutz et al., pp. 87-94, AGU, Washington, D. C., 1994.
20. Eckhardt, D. H., Theory of the libration of the Moon, Moon Planets, 25, 3-49, 1981.
21. Eckhardt, D. H., Passing through resonance: The excitation and dissipation of the lunar free libration in longitude, Celestial Mech. Dyn. Astron., 57, 307-324, 1993.
22. Ferrari, A. J., W. S. Sinclair, W. L. Sjogren, J. G. Williams, and C. F. Yoder, Geophysical parameters of the Earth-Moon system, J. Geophys. Res., 85, 3939-3951, 1980.
23. Galer, S. J. G., Interrelationships between continental freeboard, tectonics and mantle temperature, Earth Planet. Sci. Lett., 105, 214-228, 1991.
24. Goins, N. R., A. M. Dainty, and M. N. Toksoz, Lunar seismology: The internal structure of the Moon, J. Geophys. Res., 86, 5061-5074, 1981.
25. Goldreich, P., On the eccentricity of satellite orbits in the solar system, Mon. Not. R. Astron. Soc., 126, 256-268, 1963.
26. Goldreich, P., Precession of the Moon's core, J. Geophys. Res., 72, 3135-3137, 1967.
27. Goldstein, B. E., Electrical conductivity of the lunar interior: Theory, error sources, and estimates, Proc. Lunar Planet. Sci. Conf. 10th, 2357-2373, 1979.
28. Hood, L. L., Geophysical constraints on the lunar interior, in Origin of the Moon, edited by W. K. Hartmann, R. J. Phillips, and G. J. Taylor, pp. 361-410, Lunar and Planet. Inst., Houston, Tex., 1986.
29. Hood, L. L., and J. H. Jones, Geophysical constraints on lunar bulk composition and structure: A reassessment, J. Geophys. Res., 92, E396-E410, 1987.
30. Hood, L. L., D. L. Mitchell, R. P. Lin, M. H. Acuna, and A. B. Binder, Initial measurements of the lunar induced magnetic dipole moment using Lunar Prospector magnetometer data, Geophys. Res. Lett., 26, 2327-2330, 1999.
31. Jeffreys, H., Certain hypotheses as to the internal structure of the Earth and Moon, Mon. Not. R. Astron. Soc., 60, 187-217, 1915.
32. Jeffreys, H., On the figures of the Earth and Moon, Mon. Not. R. Astron. Soc., Geophys. Suppl., 4, 1-13, 1937.
33. Kaula, W. M., Tidal dissipation in the Moon, J. Geophys. Res., 68, 4959-4965, 1963.
34. Kaula, W. M., Tidal dissipation by solid friction and the resulting orbital evolution, Rev. Geophys., 2, 661-685, 1964.
35. Kaula, W. M., and C. F. Yoder, Lunar orbit evolution and tidal heating of the Moon (abstract), Lunar Sci. VII, 440-442, 1976.
36. Khan, A., and K. Mosegaard, New information on the deep lunar interior from an inversion of lunar free oscillation periods, Geophys. Res. Lett., 28, 1791-1794, 2001.
37. Khan, A., K. Mosegaard, and K. L. Rasmussen, A new seismic velocity model for the Moon from a Monte Carlo inversion of the Apollo lunar seismic data, Geophys. Res. Lett., 27, 1591-1594, 2000.
38. Konopliv, A. S., A. B. Binder, L. L. Hood, A. B. Kucinskas, W. L. Sjogren, and J. G. Williams, Improved gravity field of the Moon from Lunar Prospector, Science, 281, 1476-1480, 1998.
39. Konrad, W., and T. Spohn, Thermal history of the Moon: implications for an early core dynamo and post-accretional magmatism, Adv. Space Res., 19(10), 1511-1521, 1997.
40. Kopal, Z., The Moon, D. Reidel, Norwell, Mass., 1969.
41. Kuskov, O. L., and V. A. Kronrod, A model of the chemical differentiation of the Moon, Petrology, 6, 564-582, 1998a.
42. Kuskov, O. L., and V. A. Kronrod, Constitution of the Moon, 5, Constraints on composition, density, temperature, and radius of a core, Phys. Earth Planet. Inter., 107, 285-306, 1998b.
43. Lambeck, K., The Earth's Variable Rotation: Geophysical Causes and Consequences, Cambridge Univ. Press, New York, 1980.
44. Lambeck, K., Geophysical Geodesy: The Slow Deformations of the Earth, Clarendon, Oxford, England, 1988.
45. Lambeck, K., and S. Pullan, The lunar fossil bulge hypothesis revisited, Phys. Earth Planet. Inter., 22, 29-35, 1980.
46. Langseth, M. G., S. J. Keihm, and K. Peters, Revised lunar heat-flow values, in Proc. Lunar Sci. Conf. 7th, 3143-3171, 1976.
47. Lemoine, F. G. R., D. E. Smith, M. T. Zuber, G. A. Neumann, and D. D. Rowlands, A 70th degree lunar gravity model (GLGM-2) from Clementine and other tracking data, J. Geophys. Res., 102, 16,339-16,359, 1997.
48. Love, A. E. H., A Treatise on the Mathematical Theory of Elasticity, Dover, Mineola, N. Y., 1944.
49. Marsh, J. G., et al., The GEM-T2 gravitational model, J. Geophys. Res., 95, 22,043-22,071, 1990.
50. Mignard, F., The lunar orbit revisited, III, Moon Planets, 24, 189-207, 1981.
51. Moons, M., Physical libration of the Moon, Celestial Mech., 26, 131-142, 1982a.
52. Moons, M., Analytical theory of the libration of the Moon, Moon Planets, 27, 257-284, 1982b.
53. Mueller, S., G. J. Taylor, and R. J. Phillips, J. Geophys. Res., 93, 6338-6352, 1988.
54. Nakamura, Y., A1 moonquakes: Source distribution and mechanism, Proc. Lunar Planet. Sci. Conf. 9th, 3589-3607, 1978.
55. Nakamura, Y., Seismic velocity structure of the lunar mantle, J. Geophys. Res., 88, 677-686, 1983.
56. Nakamura, Y. and J. Koyama, Seismic Q of the lunar upper mantle, J. Geophys. Res., 87, 4855-4861, 1982.
57. Nakamura, Y., G. Latham, D. Lammlein, M. Ewing, F. Duennebier, and J. Dorman, Deep lunar interior inferred from recent seismic data, Geophys. Res. Lett., 1, 137-140, 1974.
58. Nakamura, Y., G. V. Latham, and H. J. Dorman, Apollo lunar science experiment - final summary, Proc. Lunar Planet. Sci. Conf. 13th, Part 1, J. Geophys. Res., 87, Suppl., A117-A123, 1982.
59. Newhall, X X, and J. G. Williams, Estimation of the lunar physical librations, Celestial Mech. Dyn. Astron., 66, 21-30, 1997.
60. Newsom, H. E., Constraints on the origin of the Moon from the abundance of molybdenum and other siderophile elements, in Origin of the Moon, edited by W. K. Hartmann, R. J. Phillips, and G. J. Taylor, pp. 203-230, Lunar Planet. Inst., Houston, Tex., 1986.
61. Peale, S. J., Some effects of elasticity on lunar rotation, Moon, 8, 515-531, 1973.
62. Peale, S. J., Excitation and relaxation of the wobble, precession, and libration of the Moon, J. Geophys. Res., 81, 1813-1827, 1976.
63. Peale, S. J., Origin and evolution of the natural satellites, Annu. Rev. Astron. Astrophys., 37, 533-602, 1999.
64. Peale, S. J., and P. Cassen, Contribution of tidal dissipation to lunar thermal history, Icarus, 36, 245-269, 1978.
65. Petrova, N., Analytical extension of lunar libration tables, Earth Moon Planets, 73, 71-99, 1996.
66. Petrova, N., and A. Gusev, Clue about the planet interior: Convective motion and core-mantle rotation in the Earth and the Moon, paper presented at International Conference "Geometrization of Physics III", Kazan State Univ., Russia, 1997.
67. Ray, R. D., Tidal energy dissipation: Observations from astronomy, geodesy, and oceanography, in The Oceans: Physical-Chemical Dynamics and Human Impact, edited by S. K. Majumdar et al., pp. 171-185, Pa. Acad. of Sci., Pittsburgh, 1994.
68. Ray, R. D., R. J. Eanes, and B. F. Chao, Detection of tidal dissipation in the solid Earth by satellite tracking and altimetry, Nature, 381, 595-597, 1996.
69. Righter, K., and M. J. Drake, Core formation in Earth's Moon, Mars, and Vesta, Icarus, 124, 513-529, 1996.
70. Ross, M. and G. Schubert, Tidal dissipation in a viscoelastic planet, Proc. Lunar and Planet. Sci. Conf. 16th , Part 2, J. Geophys. Res., 91, Suppl., D447-D452, 1986.
71. Russell, C. T., P. J. Coleman Jr., and B. E. Goldstein, Measurements of the lunar induced magnetic moment in the geomagnetic tail: Evidence for a lunar core?, Proc. Lunar Planet. Sci. Conf. 12th, 831-836, 1981.
72. Samain, E., et al., Millimetric lunar laser ranging at OCA (Observatoire de la Côte d'Azur), Astron. Astrophys. Suppl. Ser., 130, 235-244, 1998.
73. Schubert, G., D. Stevenson, and P. Cassen, Whole planet cooling and the radiogenic heat source contents of the Earth and Moon, J. Geophys. Res., 85, 2531-2538, 1980.
74. Sellers, P. C., Seismic evidence for a low-velocity lunar core, J. Geophys. Res., 97, 11,663-11,672, 1992.
75. Simon, J. L., P. Bretagnon, J. Chapront, M. Chapront-Touzé, G. Francou, and J. Laskar, Numerical expressions for precession formulae and mean elements for the Moon and planets, Astron. Astrophys., 282, 663-683, 1994.
76. Smith, M. L., and F. A. Dahlen, The period and Q of the Chandler wobble, Geophys. J. R. Astron. Soc., 64, 223-282, 1981.
77. Sonett, C. P., E. P. Kvale, A. Zakharian, Marjorie A. Chan, and T. M. Demko, Late Proterozoic and Paleozoic tides, retreat of the Moon, and rotation of the Earth, Science, 273, 100-104, 1996.
78. Spohn, T., W. Konrad, D. Breuer, and R. Ziethe, The longevity of lunar volcanism: Implications of thermal evolution calculations with 2D and 3D mantle convection models, submitted to Icarus, 1999.
79. Stevenson, D. J., Lunar asymmetry and paleomagnetism, Nature, 287, 520-521, 1980.
80. Stevenson, D. J., Planetary magnetic fields, Rep. Prog. Phys., 46, 555-620, 1983.
81. Stevenson, D. J., and C. F. Yoder, A fluid outer core for the Moon and its implications for lunar dissipation, free librations, and magnetism (abstract), Lunar Planet. Sci. XII, 1043-1044, 1981.
82. Toksöz, M. N., N. R. Goins, and C. H. Cheng, Moonquakes: Mechanisms and relation to tidal stresses, Science, 196, 979-981, 1977.
83. Toksöz, M. N., A. T. Hsui, and D. H. Johnston, Thermal evolutions of the terrestrial planets, Moon Planets, 18, 281-320, 1978.
84. Touma, J., and J. Wisdom, Resonances in the early evolution of the Earth-Moon system, Astron. J., 115, 1653-1663, 1998.
85. Wahr, J., and Z. Bergen, The effects of mantle anelasticity on nutations, Earth tides, and tidal variations in rotation rate, Geophys. J. R. Astron. Soc., 87, 633-668, 1986.
86. Ward, W. R., Past orientation of the lunar spin axis, Science, 189, 377-379, 1975.
87. Warren, P. H., and K. L. Rasmussen, Megaregolith insulation, internal temperatures, and bulk Uranium content of the Moon, J. Geophys. Res., 92, 3453-3465, 1987.
88. Williams, J. G., W. S. Sinclair, and C. F. Yoder, Tidal acceleration of the Moon, Geophys. Res. Lett., 5, 943-946, 1978.
89. Williams, J. G., X X Newhall, and J. O. Dickey, Lunar gravitational harmonics and reflector coordinates, in Figure and Dynamics of the Earth, Moon, and Planets, edited by P. Holota, pp. 643-648, Astron. Inst., Czech. Acad. of Sci., Prague, 1987.
90. Williams, J. G., X X Newhall, and J. O. Dickey, Lunar moments, tides, orientation, and coordinate frames, Planet. Space Sci., 44, 1077-1080, 1996.
91. Wiskerchen, M. J., and C. P. Sonett, On the detectability of a metallized lunar core, Proc. Lunar Planet. Sci. Conf. 9th, 3113-3124, 1978.
92. Yoder, C. F., Effects of the spin-spin interaction and the inelastic tidal deformation on the lunar physical librations, in Natural and Artificial Satellite Motion, edited by P. E. Nacozy and S. Ferraz-Mello, pp. 211-221, Univ. of Texas Press, Austin, 1979.
93. Yoder, C. F., The free librations of a dissipative Moon, Philos. Trans. R. Soc. London, Ser. A, 303, 327-338, 1981.
94. Yoder, C. F., Tidal rigidity of Phobos, Icarus, 49, 327-346, 1982.
95. Yoder, C. F., Venus' free obliquity, Icarus, 117, 250-286, 1995.
96. Yoder, C. F., W. S. Sinclair, and J. G. Williams, The effects of dissipation in the Moon on the lunar physical librations (abstract), Lunar Planet. Sci., IX, 1292-1293, 1978.
97. Yoder, C. F., J. G. Williams, and M. E. Parke, Tidal variations of Earth rotation, J. Geophys. Res., 86, 881-891, 1981.