Email this article Features of the fossil tidal bulge formation for the early moon
- Authors: Voropaev S.A.1, Dnestrovskii A.Y.1, Marov M.Y.1
-
Affiliations:
- Vernadsky Institute of Geochemistry and Analytical Chemistry of Russian Academy of Sciences
- Issue: Vol 484, No 6 (2019)
- Pages: 686-690
- Section: Astronomy, Astrophysics, Cosmology
- URL: https://journals.eco-vector.com/0869-5652/article/view/12839
- DOI: https://doi.org/10.31857/S0869-56524846686-690
- ID: 12839
Cite item
Full Text
Abstract
The limitations imposed on the orbit and the distribution of the density of the early Moon by present-day measurements of its fossil tidal bulge are studied. A semi-analytical method has been developed for calculating gravitational potentials, which makes it possible to investigate the equi-potential surfaces of a self gravitating inhomogeneous mass in an external field. Universal expressions are obtained for the two-layer mantle-crust model of the early Moon, which makes it possible to make general estimates of the density of the upper crust and semiaxes of its orbit in the case of tidal capture by the Earth.
About the authors
S. A. Voropaev
Vernadsky Institute of Geochemistry and Analytical Chemistry of Russian Academy of Sciences
Author for correspondence.
Email: voropaev@geokhi.ru
Russian Federation, 19, Kosygin str., Moscow 119991
A. Yu. Dnestrovskii
Vernadsky Institute of Geochemistry and Analytical Chemistry of Russian Academy of Sciences
Email: voropaev@geokhi.ru
Russian Federation, 19, Kosygin str., Moscow 119991
M. Ya. Marov
Vernadsky Institute of Geochemistry and Analytical Chemistry of Russian Academy of Sciences
Email: voropaev@geokhi.ru
Academician of the RAS
Russian Federation, 19, Kosygin str., Moscow 119991References
- Williams J.G., et al. Lunar Interior Properties from the GRAIL Mission // J. Geophys. Res. Planets. 2014. V. 119. P. 1546-1578.
- Жарков В.Н., Паньков В.Л., Калачников А.А., Оснач А.И. Введение в физику Луны. М.: Наука, 1969. 312 с.
- Mazarico E. Detection of the Lunar Body Tide by the Lunar Orbiter Laser Altimeter // Geophys. Res. Lett. 2014. V. 41. P. 2282-2288.
- Zhong S., Zuber M.T. Long-Wavelength Topographic Relaxation for Selfgravitating Planets and Implications for the Timedependent Compensation of Surface Topography // J. Geophys. Res. 2000. V. 105 (E2). P. 4153-4164.
- Wahr J. Modeling Stresses on Satellites due to Nonsynchronous Rotation and Orbital Eccentricity Using Gravitational Potential Theory // Icarus. 2009. V. 200. № 1. P. 188-206.
- Мельхиор П. Физика и динамика планет. М.: Мир, 1976. Ч. 2. 483 с.
- Назаров М.А., Тарасов Л.С., Шевалевский И.Д. Минералогия материкового реголита (“Луна-20”). В кн.: Грунт из материкового района Луны. М.: Наука, 1979. С. 226-266.
- Grange M.L. Complex Magmatic and Impact History Prior to 4.1 Ga Recorded in Zircon from Apollo 17 South Massif Aphanitic Breccia 73235 // Geochim. et Cosmochim. Acta. 2011. V. 75. P. 2213-2232.
- Кадик А.А., Луканин О.А. Дегазация верхней мантии при плавлении. М.: Наука, 1986. 95 с.
- Wieczorek M.A. The Crust of the Moon as Seen by GRAIL // Science. 2013. V. 339. P. 671-675.
Supplementary files
