Question

Hi,

 

i'm having some maths problems. Can anyone explain my error.

 

I've ended up with relay stations with 32 HG-5 High Gains. (Based on maths, but i guess if this is wrong then that is too). Using the wiki I think the power of each relay is:

 

(5*10^9)*32^0.75=6.73*10^10

As all relays are identical that gives a maximum link range of 6.73*10^10. Using the signal strength formula at a range of 2.20*10^10, i get a effeciency of:

1-((2.20*10^10)/(6.73*10^10))=0.67

0.67*0.67*(3-2*0.67)=0.75 (=75%)

 

So, if I want a seperation of 2.20*10^10 in an equilaterl triangle arrangement I need an orbital radius of:

(2.20*10^10)*(sqrt(3)/3))=1.27*10^10.

 

I now have three such relays at a Kerbol Orbit of 1.27*10^10, yet not only are they not at 75% power, they are not linking at all.

 

My initial hunch is that some of the measurements are from sun centre and some are from sun surface, but that only affects the third significant figure and smaller, reducing effeciency to 74%, not 0%.

 

What is wrong with my maths (not just the aesthetic choice for the 32 antennae)

 

Thanks in advance,

RBS.

 

 

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