One of the devices built into Telstar is a set of six _solar aspect
cells_ spaced at regular intervals around the satellite. These give a
fairly accurate indication of the angle between the spin axis of the
satellite and a line joining the satellite and the sun. When sunlight
strikes these solar cells, they produce electric currents, and the value
of the current from each cell is sent back to the ground via telemetry.
Three of the cells are in the satellite’s northern hemisphere; three are
in the southern hemisphere. If Telstar’s north pole were pointing to the
sun, for example, the three northern cells would record large, equal
currents; those in the southern hemisphere would show zero current. But
if the spin axis were perpendicular to the satellite-sun line (as we
want it to be) all six cells would report equal, average-sized currents,
which would fluctuate as the satellite spun around. The solar cells were
carefully calibrated before Telstar was launched, and we estimate that
they can tell us the angle between the satellite’s spin axis and the
satellite-sun line to within one or two degrees.
However, this one angle is not enough to locate the spin axis exactly.
As you can see in _Diagram 1_, there are many possible positions for the
spin axis OP that have the same angle θ with the satellite-sun line OS.
These positions all would lie on the surface of an imaginary cone OPP′
that has OS as its axis and 2θ as its vertex angle. We need to have a
second measurement to find a single position for the spin axis. As late
as November 1961 we had not found a satisfactory way to make such a
second measurement. Then Donald Gibble of Bell Telephone Laboratories
suggested that we observe the reflections of sunlight from mirrors
fitted onto the satellite[2].
Only when a satellite is in the right position can you see the
reflection of sunlight from a plane surface on its body. _Diagram 2_
shows how flashes of reflected light are observed. The light of the sun,
S, is reflected from a plane surface, R, on the satellite to our
observing station, T, on the earth. If we imagine the line ORB drawn
perpendicular to R, we know, from the law of reflection, that the angle
of incidence, _i_, made by the sunlight to this line will be equal to
the angle of reflection, _i_′, between the reflected light and the same
line. The law of reflection also tells us that the sun, the line ORB,
and the observing station all must now lie in the same plane. And, since
we can calculate where the satellite is in its orbit at this exact
moment, we can locate line ORB. But what about the spin axis? We know
where on the satellite our reflector R is located, so we know ahead of
time what the angle θ′ between ORB and the spin axis, OP, will be. We
call it the _flash angle_. Thus we can tell that the spin axis will be
somewhere on the surface of an imaginary cone OPP″ that has ORB as its
axis and 2θ′ as its vertex angle[3].
Public-domain text, read in full here on John Shaqi.
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