Gravitational force by a mass distribution ↩

Metadata 
aliases: [Gravitational force of a mass distribution, Graviational force exerted on a point mass by an extended mass distribution, Graviational force exerted on a mass distribution by an extended mass distribution]
shorthands: {}
created: 2022-12-19 22:35:24
modified: 2022-12-19 22:50:32

Given a mass distribution , we can calculate its gravitational force exerted on a particle of mass , due to linearity:

Where the integral is a volume integral over the mass distribution.

is the gravitational constant.

We can extend this further to calculate the force between two mass distributions and :

Note that varies with and .