B Is There a Formula for Gm/r in Gravitational Potential?

[concernedhuman]

Since F_g = Gmm/r²and Coulomb's law being similar to that: F_e = kQq/r²,
and we also have E = kQ/r² and g = Gm/r² being alike,
I was wondering if there's anything that corresponds to the potential equation kQ/r. I converted it myself and figured that it's going to be Gm/r, and I'm not sure if a formula for that exists.

 

[andrewkirk]

If m stands for the mass of the body whose gravitational field we are considering then there is, except that it is standard to use M rather than m. The quantity is -GM/r and is called Gravitational Potential. It is always negative, asymptotically approaches zero as we go towards an infinitely remote distance and it decreases ever deeper into negative territory as we approach the centre of the mass M.

 

[concernedhuman]

If m stands for the mass of the body whose gravitational field we are considering then there is, except that it is standard to use M rather than m. The quantity is -GM/r and is called Gravitational Potential. It is always negative, asymptotically approaches zero as we go towards an infinitely remote distance and it decreases ever deeper into negative territory as we approach the centre of the mass M.

Thank you so much! This is helpful and yes I apparently didn't use the right m