Hostname: page-component-77c89778f8-7drxs Total loading time: 0 Render date: 2024-07-19T05:17:53.675Z Has data issue: false hasContentIssue false
  • English
  • Français

Lunar Libration Tables and Determination of Crater Coordinates

Published online by Cambridge University Press:  12 April 2016

Natasha Petrova
Natasha Petrova*
Affiliation:
Department of Astronomy, Kazan State University Kazan, Russia

Extract

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 study of lunar rotation has attracted considerable interest with the advent of the epoch of exploration of the Solar system by space technology. A series of works on an investigation of the lunar gravitational field carried out with the help of artificial lunar satellites have greatly advanced our possibility for that study. The problem concerning the landing on the lunar surface of spacecraft, and the creation of durable lunar bases, impose heavy demands on the accuracy of theoretical description of orbital and rotational motion of the Moon.

The development of the observational technology with the help of radio-and laser ranging (LLR) provides at the present time measurements of the distance to a given point on the Moon with an accuracy of about 2 cm, probably improved in the future to about 5mm (Banerdt, 1995). By using differential VLBI measurement with extragalactic radio sources angularly near the Moon, it should be possible to obtain routine estimates of angular position of the beacon to 0.1 mas from each observation (Baudry, 1995). Therefore, combining VLBI and LLR techniques will provide a means of achieving new objectives, and that calls for the development of the theories adequate to an accuracy for observations.

Type
Rotation of Solar System Objects
Information
International Astronomical Union Colloquium , Volume 165: Dynamics and Astrometry of Natural and Artificial Celestial Bodies , 1997 , pp. 281 - 286
Copyright
Copyright © Kluwer 1997

References

Banerdt, W.B.: 1995, “Geophysics of the Moon’s interior: What is left after Appolo and Clementine”, Ann. Geophys. EGS 13, part III, 757.Google Scholar
Baudry, A.: 1995, “VLBI observations of radio beacons on the Moon: Scientific and technological impacts”, Ann. Geophys. EGS 13, part III, 764.Google Scholar
Cappalo, R.J., King, W., Counselman, C.C., and Shapiro, I.I.: 1981, “Numerical model of the Moon’s rotation”, The Moon and the Planets 24, 281–289.Google Scholar
Eckhardt, D.H.: 1981a, “Theory of the libration of the Moon”, The Moon and the Planets 25, 3.Google Scholar
Eckhardt, D.H.: 1981b, “Planetary and Earth figure perturbations in the libration of the Moon”, in: High Precis. Earth. Rotat. and Earth-Moon Dynamics, IAU Colloquium 63, Grasse, 1981, 193–198.Google Scholar
Eroshkin, G.I.: 1985, “The numerical model of physical libration of the Moon”, Trudy ITA AN SSSR 15, No 9, 511-518 (in Russian).Google Scholar
Ferrari, A.J., Sinclair, W.S., and Sjogren, W.L.: 1980,”Geophysical parameters of the Earth-Moon system”, J. Geophys. Res. 85, 3939.Google Scholar
Khabibullin, Sh.T.: 1988, “Development of the theory of physical libration and the sele- nocentric systems of coordinates”, Kinematika Fiz. Nebesn. Tel 4, No 1, 35–40 (in Russian).Google Scholar
Khabibullin, Sh.T.: 1990, “About the reduction of crater positions to the various systems of coordinates in the space of triad of lunar inertia axes”, Kinematika Fiz. Nebesn. Tel 6, No 1, 35–42 (in Russian).Google Scholar
King, R.W., Counselman, C.C., Shapiro, I.I., and Williams, J.G.: 1975, “Lunar dynamics and selenodesy: results from analysis of VLBI and laser data (LURE2)”, J. Geophys. Res. 81, 6251.Google Scholar
Kislyuk, V.S.: 1988, Geometrical and Dynamical Lunar Characteristics, Kiew, Naukova Dumka (in Russian).Google Scholar
Migus, A.: 1980, “Analytical lunar libration tables”, The Moon and the Planets 23, 391.Google Scholar
Moons, M.: 1982a, “Analytical theory of libration of the Moon”, Celest. Mech. 26, 131.Google Scholar
Moons, M.: 1982b, “Analytical theory of libration of the Moon”, The Moon and the Planets 27, 257.Google Scholar
Moons, M.: 1984a, “Planetary perturbations on the libration of the Moon”, Celest. Mech. 34, 263.Google Scholar
Moons-Dubois, M.: 1984b, “Theory of the libration of the Moon”, Dynamical Trapping and Evolution in Solar System, 37.Google Scholar
Morrison, D.A., Drake, B.G., and Boynton, W.V.: 1995, “Global science first: The rational approach to exploring the Moon”, Ann. Geophys. EGS 13, part III, 761.Google Scholar
Petrova, N.: 1996, “Analytical extension of lunar libration tables”, Earth, Moon and Planets 73, 71–99.Google Scholar
Shiryaev, A.A.: 1985, “Construction of the model of physical libration of the Moon on the basis of numerical integration of equations of orbital-rotation motion”, Trudy ITA AN SSSR 15, No 7, 396–405 (in Russian).Google Scholar
Smith, D.E., Zuber, M.T., Lemoine, F.G., and Neumann, G.A.: 1995, “The topography and gravity of the Moon from Clementine”, Ann. Geophys. EGS 13, part III, 763.Google Scholar
Zuber, M.T., Smith, D.E., and Sjogren, W.L.: 1995, “Lunar geophysics with lunar discovery orbiter”, Ann. Geophys. EGS 13, part III, 763.Google Scholar