Assignment:
A deep-space probe is moving away from the earth at a nominal velocity of 15.000 rids with a velocity uncertainty of ±3 m/s. The probe frequency reference is specified to have a drift rate of no more than 104 Hz/Hz/day. The nominal downlink transmission frequency is 8 GHz. After a 1-month (30-day) silence the probe begins a scheduled transmission toward an earth terminal. The earth terminal contains a cesium standard. What center frequency and frequency search bandwidth should be used by the ground station? Assuming that the range to the prohe was accurately known at the beginning of the month. and that the uncertainty in the probe's time and frequency references were zero ?t(0) = 0. ?ω(0) = 01. what is the uncertainty in the time of arrival of the downlink transmission?
Provide complete and step by step solution for the question and show calculations and use formulas.