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Satellite Propagation Time Problem

Given the geostationary satellite diagram in Figure 2, calculate the maximum and minimum range in kilometers from an Earth Station to a satellite in geosynchronous orbit. What is the round-trip data signal propagation time for both maximum and minimum ranges calculated?




Figure 1: Satellite Orbit Diagram

Solution:

a) Calculated geosynchronous satellite ranges:

θmax = cos-1(re / rs)

θmax = cos-1(6370km / 42,242km) = 81.33 deg

And:

rmin = rs - re = 35,872km

rmax = rs sin (θmax) = 41,759km


b) Round trip data transmission signal propagation time:

Tmin = 2 (rmin) / c = 2 (35,872km) / 3E5km/s = 0.239s

Tmax = 2 (rmax) / c = 2 (41,759km) / 3E5km/s = 0.278s


Satellite key words: geosynchronous orbit, RF signal, GEO, data transmission, transceiver, electromagnetic signal propagation time, orbital parameters, range, kilometers, earth station, ES, attenuation, atmospheric.


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