**Newtonian Gravity**

In the case of a gravitational field **g** due to an attracting massive object, of density *ρ*, Gauss' law for gravity in differential form can be used to obtain the corresponding Poisson equation for gravity. Gauss' law for gravity is:

- ,

and since the gravitational field is conservative, it can be expressed in terms of a scalar potential *Φ*:

- ,

substituting into Gauss' law

obtains **Poisson's equation** for gravity:

Read more about this topic: Poisson's Equation

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### Famous quotes containing the word gravity:

“Here I sit down to form characters. One I intend to be all goodness; All goodness he is. Another I intend to be all *gravity*; All *gravity* he is. Another Lady Gish; All Lady Gish she is. I am all the while absorbed in the character. It is not fair to say—I, identically I, am anywhere, while I keep within the character.”

—Samuel Richardson (1689–1761)