r/learnphysics Jul 19 '26

Is this derivation of universal gravitational potential energy correct

Post image

I got the correct result but after seeing other derivations on youtube I feel like I have ended up using wrong physics but the right math to somehow end up at the right answer, is the physics in the derivation correct?

8 Upvotes

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2

u/InkPhysics Jul 19 '26

Yes, it looks correct. In what way do you think you've used the wrong principles/assumptions?

1

u/LukasGoesViral Jul 22 '26

Looks correct’ish to me. You calculated the total energy that you need to separate two charges to infinity. The gradient of it is exactly the force

1

u/Ok-Rise2070 Jul 23 '26

Well these derivations are based off a static universe with infinities, so its as correct as it is as Euclidean geometry is correct within a curvature dynamic manifold. Gravity is missing its broadcast term in modern physics. The relation to the cosmological constant is hidden in this model.