d. The gravitational \"blueshift\" of the frequency according to general relativ
ID: 2124592 • Letter: D
Question
d.
The gravitational "blueshift" of the frequency according to general relativity is a separate effect. It is called a blueshift to indicate a change to a higher frequency. The magnitude of that fractional change is given by
where Ug is the change in gravitational potential energy of an object
?f f A global positioning system (GPS) satellite moves in a circular orbit with period 11 h 58 min. (Assume the mass of the earth is 5.98 times 1024 kg, and the radius of the earth is 6.37 times 106m.) The gravitational "blueshift" of the frequency according to general relativity is a separate effect. It is called a blueshift to indicate a change to a higher frequency. The magnitude of that fractional change is given by where Ug is the change in gravitational potential energy of an object - Earth system when the object of mass m is moved between the two points where the signal is observed. Calculate this fractional change in frequency due to the change in position of the satellite from the Earth's surface to its orbital position. What is the overall fractional change in frequency due to both time dilation and gravitational blueshift?Explanation / Answer
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