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Physics

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    $\begingroup$ The "reference frame of [the] rotating body" is not an inertial reference frame, so the rules you learned for things that happen in inertial reference frames don't apply here. $\endgroup$
    – The Photon
    Commented Apr 23 at 0:30
  • $\begingroup$ @ThePhoton is there any reason why an observer on the rotating body has to be accelerating? Is it not an identical scenario to them being completely stationary, and the object rotating around them? $\endgroup$
    – bbqribs2000
    Commented Apr 23 at 0:36
  • $\begingroup$ Infinity is not a number you can do algebra with like that, so those manipulations don't make sense at any state of calculation. $\endgroup$
    – Triatticus
    Commented Apr 23 at 0:44
  • $\begingroup$ @Triatticus I'm just using infinity to represent an arbitrarily large number, should've been more clear. $\endgroup$
    – bbqribs2000
    Commented Apr 23 at 0:58
  • $\begingroup$ @bbqribs2000, If the observer is floating above the rotating body, not rotating, then it's possible that their rest frame is an inertial one. But also, the distant object won't be moving at greater than c in that frame. $\endgroup$
    – The Photon
    Commented Apr 23 at 2:54