Hostname: page-component-77c89778f8-9q27g Total loading time: 0 Render date: 2024-07-19T05:22:24.988Z Has data issue: false hasContentIssue false
  • English
  • Français

Gravitational Capture to Resonance Rotation of the Early Moon in General Relativity and Gravitation

Published online by Cambridge University Press:  12 April 2016

Alexander Gusev
Alexander Gusev*
Affiliation:
Department of Astronomy, General Relativity and Gravitation 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 capture of the Moon represents a very unique event in the history of the solar system (Singer, 1968; Goldreich et al., 1975; Goldreich, 1966). The Moon formed separately in a heliocentrical orbit similar to the Earth’s and was later captured by the Earth. The capture of the Moon defines also a severe heating event where the Earth’s kinetic energy of rotation is largely dissipated by the mechanism of tidal friction.

A corrected tidal theory (Singer, 1977) leads to a dramatically different result of MacDonald’s theory (MacDonald, 1964) suggesting lunar capture from a prograde orbit.

Type
Solar System Dynamics
Information
International Astronomical Union Colloquium , Volume 165: Dynamics and Astrometry of Natural and Artificial Celestial Bodies , 1997 , pp. 215 - 220
Copyright
Copyright © Kluwer 1997

References

Arnol’d, V.I.: 1978, Geometrical Methods in the Theory of Ordinary Differential Equations, Nauka, Moskva (in Russian), [English transi.: Springer, NY, (1983)].Google Scholar
Arnoľd, V.I., Kozlov, V.V., and Neishtadt, A.I.: 1988, “Mathematical aspects of classical and celestial mechanics’, Dynamical Systems III Encyclopedia of Mathematical Science 3 (Arnoľd, V.I., ed.), Springer, Berlin.Google Scholar
Bautin, N.N. and Lentovich, E.A.: 1990, Metody i Priemy Kachestvennogo Issledovaniya Dinamicheskikh Sistem na Ploskosti, Moskva, Nauka.Google Scholar
Beletsky, V.V.: 1975, Dvigenie Sputnika Otnositel’no Tsentra Mass v Gravitatsionnom Pole, Izdatel’stvo MGU.Google Scholar
Brumberg, V.A.: 1958, Bull. Inst. Theor. Astron. (USSR) 6, 733.Google Scholar
Brumberg, V.A. and Ivanova, T.V.: 1982, Sun and Planetary System, Reidel, Dordrecht.Google Scholar
Goldreich, P.: 1966, Rev. Geophys. 4, 411.Google Scholar
Goldreich, P. et al.: 1975, Prilivy i Rezonansy υ Solnechnoy Sisteme (sbornik statey), Moskva, Mir.Google Scholar
Lestrade, J.-F. and Bretagnon, P.: 1982, Astron. Astrophys. 105, 42.Google Scholar
MacDonald, G.J.F.: 1964, Rev. Geophys. 2, 467.Google Scholar
Mashhoon, B.: 1985, Found. Phys. 15, 497.Google Scholar
Salangina, O.A.: 1994, Master of Science Thesis, Kazan University, Kazan.Google Scholar
Singer, S.F.: 1968, Geophys. J. R. Astron. Soc., 15, 205.Google Scholar
Singer, S.F.: 1970, “EOS”, Trans. Amer. Geophys. Union 51, 637.Google Scholar
Singer, S.F.: 1977, Earth Sci. Rev. 13, 171.Google Scholar
Soffel, M.H., Ruder, H., and Schneider, M.: 1986, Astron. Astrophys. 157, 357.Google Scholar
Soffel, M.H.: 1989, Relativity in Astrometry, Celestial Mechanics and Geodesy, Springer, Berlin.Google Scholar