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Old Jul 3rd 2017, 11:27 AM   #1
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Time delay of EM waves in a rotational frame

Hello,

I have a question (two very similar questions) about the time and phase delay between rotating objects. I want to describe two extreme cases here. The figures cited can be found in the attachments. I would appreciate any helps.

Case1

Imagine two observers (people with telescopes maybe) in space that are standing thousands of kilometers apart and directly facing each other in free space.

At time t0 they are standing still (Fig1). At t1 they start rotating with let's say 360 degrees/second in the same directions (Fig2). And after a time delay, at t2 , the "news that the other observer had started rotating" arrives to each observer and they both stop accelerating (Fig3).

What would an observer see after t1 and t2 ?

My guess is that;
during from t1 to t2, an observer would see him/herself rotating relative to the other one. In other words, s/he would see the other one starting to rotate in the opposite direction (Fig4).

But at t2, the other observer would seem to have stopped rotating relative this one. However, s/he would look standing tilted with an angle of maybe like 10-20 degrees (Fig5).



Case2

Same as in the Case 1 but let's replace the observers with huge horseshoe magnets, poles directly facing each other (Fig6).



Let's say at t0, they were pushing each other with F0.

Between t1 and t2, would the force start decreasing?

After t2, would they reach a stable force F2 which is smaller than F0? (Due to them "seeing" each other tilted with an angle)

I know the examples here are too extreme to be realistic but in order to render any other factors uneffective, I needed to exaggerate.

Thank you for your time.
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Time delay of EM waves in a rotational frame-ads-z8.jpg   Time delay of EM waves in a rotational frame-ads-z-9.jpg  
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delay, frame, rotational, rotational frame, special relativity, time, time delay, waves



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