skeptic2
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Using the formula for Free Space Path Loss given by http://en.wikipedia.org/wiki/Free-space_path_loss and the capabilities of the Arecibo Observatory http://en.wikipedia.org/wiki/Arecibo_Observatory, the range for three scenarios can be calculated.
Frequency...Effective Radiated Power...Distance
2.38 GHz...20 TW......0.669 ly
0.43 GHz...2.5 TW......0.300 ly
0.047 GHz...300 MW........0.00586 ly
For this calculation I assumed an Arecibo type antenna at both ends and a receive sensitivity of -120 dBm. Even though Free Space Path Loss is higher at higher frequencies, it is offset by the higher transmitting power and higher antenna gain. It looks like the best we can do is still a long ways from 200 ly.
Frequency...Effective Radiated Power...Distance
2.38 GHz...20 TW......0.669 ly
0.43 GHz...2.5 TW......0.300 ly
0.047 GHz...300 MW........0.00586 ly
For this calculation I assumed an Arecibo type antenna at both ends and a receive sensitivity of -120 dBm. Even though Free Space Path Loss is higher at higher frequencies, it is offset by the higher transmitting power and higher antenna gain. It looks like the best we can do is still a long ways from 200 ly.
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