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Space probes communicate with controllers on Earth using radio waves. Suppose a probe has a radiotransmitter...

Space probes communicate with controllers on Earth using radio waves. Suppose a probe has a radiotransmitter that operates at a frequency of 433.0 MHz when at rest relative to the observer. This probe is now wandering the solar system. The signal you pick up from the probe is shifted 2.990E+4 Hz higher in frequency than the rest frequency given above. How fast is the probe traveling and is it traveling towards or away from Earth? (assume it is either traveling directly towards or directly away from Earth. You must get boths answers correct at the same time.)

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Answer #1

By Doppler formula, V +Vs since f is lesser, Vs is positive, or source is moving away. Now, 433 x10 Hz-3.922x104 Hz 3x108 m/s 433x10*Hz (3x10 m/s)+Vs (0.9999) (3x10 m/s)Vs (0.9999)-3x10 m/s (3x10 m/s)-(29997x10 m/s) (0.9999) Vs- 30003 m/s

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