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    $\begingroup$ A central force, by definition, only varies with distance. So the force is not affecting any angular momentum and the angular momentum is therefore conserved. $\endgroup$ Commented Jul 11, 2024 at 21:05
  • $\begingroup$ @DavideMasi FYI, This is the correct explanation. The complete derivation which I wrote out the whole derivation on your math stackexchange post follows exactly this logic! Hopefully, you can use that to fill in the details for why that comment was correct. $\endgroup$ Commented Jul 12, 2024 at 21:11