The Global Positioning System satellites operate at an altitude of 20,200 km and use communication frequencies of 1575.42 MHz. Find the gravitational frequency change with respect to Earth.
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The Global Positioning System satellites operate at an altitude of 20,200 km and use communication frequencies of 1575.42 MHz. Find the gravitational frequency change with respect to Earth.
Given data, h=20,200 (km);
frequency, f=1575.42 (MHz);
So, with respect to earth gravitational frequency change for an altitude h is given by the equation;
also for the above equation, we know the value of some constants as;
Gravitational constant, ;
Mass of the Earth,
The radius of the Earth,
The velocity of light,
now putting all the value in the equation (1) we get;
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