## The Final Reckoning

QUERY 7 Satellite radius and speed. Find the numerical value of the speed ^satellite (as a fraction of the speed of light) for a satellite in a 12-hour circular orbit. Find the numerical value of the radius rsateMite for this orbitâ€”according to Newton and Euclid.

Now we have numerical values for all the terms in equation [3] and can approximate the difference in rates for satellite clocks and Earth clocks.

QUERY 8 Formula: Clock rate difference. Take the square root of both sides of equation [3]. Do not substitute numerical values yet. Rather, for both numerator and denominator in the resulting equation, use the approximation [5], as follows: In the numerator, set d = -

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