(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

How would I derive Gauss' law for gravity from Newton's law?

2. Relevant equations

[tex]\mathbf{g}(\mathbf{r}) &=& -G\frac{m_1}{{\vert \mathbf{r}\vert^2}}\hat{\mathbf{r}}[/tex]

to

[tex]\nabla\cdot\mathbf{g} = -4\pi G \rho[/tex]

3. The attempt at a solution

I have no reference material outside the wide and bountiful internet, and wikipedia gives this equation as the first step of the derivation, which is where I'm really stuck.

[tex]\mathbf{g}(\mathbf{r}) = -G\int_V \frac{\rho(\mathbf{s})(\mathbf{r}-\mathbf{s})}{|\mathbf{r}-\mathbf{s}|^3} dV(\mathbf{s})[/tex]

I'm just not sure how on earth I'd get to this equation, any help appreciated.

V

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# Homework Help: Deriving Gaussian Gravity

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