All Planets Must Be Spherical

[petrushkagoogol]

* Gravitational force at a distance of r from the center of the mass it encapsulates is equal for all points that lie on a sphere of radius r

* The force pattern when condensed to the center of the encapsulated mass requires a symmetric object that mimics the force distribution pattern

 

This means that the shape of a planet is always necessarily spherical.

 

Force distribution requires the force generator i.e. mass to be in tandem with the force.

 

Do you agree  ?   

 

PS - This means space-time is always 4 dimensional.

[sanctus]

Depends on how pedantic you wanna be. Rotation deforms it a bit and I take also star it orbits influences its shape and the moon(s) as well to a slight extent.

But yeah a planet in a Lagrange point (all gravity cancelled out) and without moons and without rotation should be spherical