Question: SYNCOM 1, intended to be the first communications test from a geosynchronous orbit, failed to communicate after reaching orbit in 1963. It now resides in

SYNCOM 1, intended to be the first communications test from a geosynchronous orbit, failed to communicate after reaching orbit in 1963. It now resides in an Earth orbit with an altitude of perigee of 28,942 km and an altitude of apogee of 34,612 km.

(a) What is the semimajor axis of the orbit?

(b) What is the period of this orbit? Is SYNCOM 1 in a geosynchronous orbit? Why or why not?

(d) What is the velocity at perigee?

(e) What is the velocity at apogee?

(f) If the true anomaly is 290, what is the satellite's altitude?

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