Newton’s Law of Universal Gravitation

  • Øyvind Grøn
Part of the Lecture Notes in Physics book series (LNP, volume 772)

For a spherical mass distribution, \(V(\vec r)=-mG\frac{M}{r}\), with zero potential infinitely far from the centre of \(M\). Newton’s law of gravitation is valid for “small” velocities, i.e. velocities much smaller than the velocity of light and “weak” fields. Weak fields are fields in which the gravitational potential energy of a test particle is very small compared to its rest mass energy. (Note that here one is interested only in the absolute values of the above quantities and not their sign.)


Black Hole Reference Frame Gravitational Field Gravitational Potential Inertial Frame 
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    Grøn, Ø. and Vøyenli, K. 1999. On the foundations of the principle of relativity, Found. Phys. 29, 1695–1733.MathSciNetCrossRefGoogle Scholar
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    Brill, D. R. and Cohen, J. M. 1966. Rotating masses and their effect on inertial frames, Phys. Rev. 143, 1011–1015.MathSciNetADSCrossRefGoogle Scholar

Copyright information

© Springer Science+Business Media, LLC 2009

Authors and Affiliations

  1. 1.Oslo University College Faculty of EngineeringCpy Olavs PlassNorway

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