Parameter | Description | Value | Calculation/Discription |
dsd | satellite dish diameter
| 25m | Arbitrary selection. Parabolic dishes in space are on the order of 22m today.
|
dds | "deep space" diameter
| 70m | Diameter of the largest dish in the NASA Deep Space network.
|
ηsd | Efficiency of satellite
| 0.75 | Arbitrary selection. This is a realistic approximation.
|
ηds | Efficiency of "deep space"
| 0.94 | Actual figure provided by NASA.
|
Gsd | Gain of satellite dish
| 83.65 dBW
| Gds = 10*log10(ηsd*(π*25/λ)2) |
Gds | Gain of "deep space"
| 91.62 dBW | Gds = 10*log10(ηds*(π*70/λ)2) |
Tsys | total system temperature | 31K | T=3K (space) + 28K (LNAs) |
Pn
| noise power
| -211.92 dBW
| Pn = k*Tsys*BW
|
Pr
| received power
| -209.92 dBW
| Pr = Pn + SNR
|
Pt
| transmit power
| 20dBW | Arbitrary selection. Realistic approximation.
|
Rds
| reach of "deep space" dish
| 7.64837 ly
| Rds=10^((Pt+Gsd+Gds+20*log10(λ/(4*π))-Pr )/20)
|
Rsd | reach of satellite dish
| 3.05805 ly
| Rsd=10^((Pt+Gsd+Gsd+20*log10(λ/(4*π))-Pr)/20)
|