One of the important forces operating in the solar system is gravity, the force of mutual attraction between masses such as planets and satellites or the mutual attraction between small mass elements of a planet. Newton's law of gravitation, ‘two particles attract each other with a central force in proportion to the product of their masses and inversely in proportion to the square of the distance between them,’ has been found to be largely adequate to explain most gravitation phenomena in the solar system, whether it is orbital motions or the mass distributions within planets. The proportionality constant of Newton's law G, is 6.670 × 10−11 N m2 kg−2. An equivalent expression of Newton's law is in terms of the gravitational potential Φ, as the acceleration of gravity a, imparted by gravity on a test particle according to
where ∇ is the gradient operator. For a body of volume V the potential at a point P outside of V is
where ℜ is the distance of P from the volume element dV...
Bibliography
Balmino, G. B., Moynot, B. and Vales, N. (1982) Gravity field model of Mars in spherical harmonics up to degree and order eighteen. J. Geophys. Res., 87, 9735–46.
Gegout, P. and Cazenave, A. (1993) Temporal variations of the Earth gravity field for 1985–1989 derived from Lageos. Geophys. J. Int., 114, 347–59.
Heiskanen, W. A. and Vening Meinesz, F. A. (1958) The Earth and its Gravity Field. New York: McGraw-Hill.
Jeffreys, H. (1970) The Earth, 5th edn. Cambridge: Cambridge University Press.
Lambeck, K. (1988) Geophysical Geodesy, Oxford University Press.
Marsh, J. G., Lerch, F. J., Putney, B. H. et al. (1990) The GEM-T2 gravitational model. J. Geophys. Res., 95, 22043–71.
Phillips, R. J. and Lambeck, K. (1980) Gravity fields of the terrestrial planets. Long-wavelength anomalies and tectonics. Rev. Geophys. Space Phys., 18, 27–76.
Reasenberg, R. D. and Goldberg, Z. M. (1992) High-resolution gravity model of Venus. J. Geophys. Res., 97, 14681–90.
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Lambeck, K. (1997). Gravity fields of the terrestrial planets . In: Encyclopedia of Planetary Science. Encyclopedia of Earth Science. Springer, Dordrecht. https://doi.org/10.1007/1-4020-4520-4_162
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