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Changing short description from "Statement on the gravitational attraction of spherical bodies." to "Statement on the gravitational attraction of spherical bodies" |
m →Derivation using Gauss's law: Math font g Tags: Mobile edit Mobile app edit Android app edit |
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:<math>\int_S {\mathbf g}\cdot \,d{\mathbf {S}} = \int_S {\mathbf g}\cdot {\hat\mathbf{n}}\,dS</math>
is the [[surface integral]] of the [[gravitational field]]
The gravitational field of a spherically symmetric mass distribution like a mass point, a spherical shell or a homogeneous sphere must also be spherically symmetric. If <math>\hat\mathbf{n}</math> is a unit vector in the direction from the point of symmetry to another point the gravitational field at this other point must therefore be
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