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165. Problem 21.11 (RHK) To circle the Earth in low orbit a satellite must have a
speed of
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Suppose that two such satellites orbit the Earth in opposite directions. We have
to find (a) their relative speed as they pass using the classical
Galilean transformation equation; (b) the fractional error that is made
because of not using the correct relativistic transformation equation. |
Solution: Click For PDF Version (a) According to classical Galilean transformation equations as
the two satellites are moving with equal speed, v,
(b) According to the relativistic velocity addition their relative speed is given by the equation
Therefore, the fractional error in using the Galilean velocity addition is
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in
opposite directions, their relative speed will be the arithmetic sum
