- #1
Soren4
- 128
- 2
I'm studing Gauss law for gravitational field flux for a mass that has spherical symmetry.
Maybe it is an obvious question but what are exactly the propreties of a spherical simmetric body?
Firstly does this imply that the body in question must be a sphere?
Secondly is it correct to interpret the definition as follows?
For any element of the body of mass [itex]dm[/itex] and volume [itex]dV[/itex] at a distance [itex]r[/itex] from the center of the body, there exists another identical element [itex]dm[/itex], [itex]dV[/itex] at the same distance[itex]r[/itex from the center of the body.
Maybe it is an obvious question but what are exactly the propreties of a spherical simmetric body?
A body is said to have spherical symmetry if its density is function of the distance from the center only, and not of the angle coordinate. $$\rho=\rho(r)$$
Firstly does this imply that the body in question must be a sphere?
Secondly is it correct to interpret the definition as follows?
For any element of the body of mass [itex]dm[/itex] and volume [itex]dV[/itex] at a distance [itex]r[/itex] from the center of the body, there exists another identical element [itex]dm[/itex], [itex]dV[/itex] at the same distance[itex]r[/itex from the center of the body.