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Project Cyclops, A Design... - Department of Earth and Planetary ...

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acorresponding reductionin tunneling <strong>and</strong> cabling cost.<br />

However, the antenna structural cost might be adversely<br />

affected <strong>and</strong> certainly the feed horn design would be<br />

complicated. These considerations forced us to consider<br />

only circular dishes for <strong>Cyclops</strong> but the problem<br />

deserves further study.<br />

ARRAY<br />

RADIUS<br />

If we assume n antennas spaced a distance s apart in a<br />

square lattice, the radius as <strong>of</strong> the array (distance from<br />

array center to center <strong>of</strong> outer antennas) is given by<br />

tunnel. Let the length <strong>of</strong> each section <strong>of</strong> main tunnel be<br />

ks. If now the cost per unit length <strong>of</strong> these side <strong>and</strong> main<br />

tunnels is "Is <strong>and</strong> "rm, respectively, the total cost will be<br />

C = Ls7 s + Lm7 m<br />

C = [(n-Nm) STs+Nmks7 m]<br />

C = s[n+(kr-l)N m] 7s (L6)<br />

2<br />

as _ s - (L4)<br />

while for a hexagonal lattice with antenna spacing s the<br />

radius<br />

ah is given by<br />

rr h + ,_ -- 2<br />

ns 2<br />

J)<br />

"h =s ) (LS)<br />

Pattern<br />

l(a)<br />

Using these expressions <strong>and</strong> taking s = 300 m to permit<br />

clear operation to 20 ° elevation with 100-m diameter<br />

antennas, we obtain the values _iven in Table L-2.<br />

TABLE L-2<br />

n<br />

as<br />

1"O0 1543 m 1425 m<br />

200 2244 m 2080 m<br />

500 3635 m 3370 m<br />

1000 5200 m 4830 m<br />

2000 7420 m 6890 m<br />

In round numbers, a lO00-element array <strong>of</strong> 100-m dishes<br />

spaced 300 m apart will be 10 km in diameter <strong>and</strong> have<br />

an effective clear aperture diameter <strong>of</strong> 3.16 kin.<br />

TUNNEL LENGTHS AND COSTS<br />

The branch or side tunnels will, in general, connect<br />

adjacent antennas <strong>and</strong> so consist <strong>of</strong>(n t /Vm) sections<br />

<strong>of</strong> length s, where N m is _he number o f sections <strong>of</strong> main<br />

Patlrr;,<br />

l(b)<br />

Figure L-I. Tunnel patterns for square latti_'e array<br />

216

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