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|    sci.physics.research    |    Current physics research. (Moderated)    |    17,516 messages    |
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|    Message 17,286 of 17,516    |
|    Pat Dolan to All    |
|    The Big Ben Paradox    |
|    02 Sep 23 08:32:05    |
      From: patdolan@comcast.net              I would like to submit this little conundrum to this group for consideration:              Consider a distant observer traveling at .867 c ( gamma=2 ) relative to       the solar system along the line that is collinear with the sun's axis of       rotation. As the clockwork solar system spins beneath him, the distant       observer peers through his powerful telescope at Big Ben in London. In       accordance with special relativity, and after taking relativistic       doppler into account, the distant observer measures Big Ben's little       hand to make one revolution for every two revolutions of his own       wristwatch's little hand. He also observes that Big Ben's little hand       still makes 730.5 revolutions for every revolution that the earth makes       around the sun. From these two observations the distant observer       concludes that in his inertial frame of reference the earth's orbital       velocity is only half the velocity necessary to keep the earth in stable       orbit around the sun.              Will the earth spiral into the sun? If not, why not?              Note: Newtonian gravity is not assumed in this paradox. Invariant       spacetime curvature is assumed to be the cause of the earth's orbit       around the sun.              --- SoupGate-Win32 v1.05        * Origin: you cannot sedate... all the things you hate (1:229/2)    |
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