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MISSION - Navigation - Triangulation
Ranging is a very useful technique, because it can pinpoint the round-trip distance to the
Cassini-Huygens spacecraft to an order of magnitude of a single meter. But that's only one
dimension. Where is the spacecraft in three dimensions?
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Precision Ranging
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A method that is called "precision ranging" is used to pinpoint the three-dimensional
whereabouts of the spacecraft. Once in a while, the Cassini-Huygens navigators schedule
the DSN so that radio telescopes in both the Earth's northern hemisphere (California and/or
Spain) and the southern hemisphere (Australia) spend time tracking the spacecraft.
This permits Cassini to be located by what is known as "triangulation": If you measure
the range to Cassini from a DSN station in the northern hemisphere, and you do the same
from a station in the southern hemisphere (and you have measured the precise distance
between the two Earth stations, too) then trigonometry says you can locate the spacecraft
in three dimensions.
If measurement A is equal to B in the illustration, the spacecraft is between the stations.
If A is longer than B, Cassini must be further south, and so on.
There are other factors to consider, though. By its nature, ranging can only measure the
total round-trip distance. Since the spacecraft is moving, the range from the Earth to the
spacecraft will be a little different from the range back to Earth. And the spacecraft's
speed is always changing, so the technique has to account for that as well. Moreover,
precision ranging measurements do not need to be obtained at the same time from both hemispheres.
Rather than immediate, "simple" triangulation, tracking data acquired over a period of
weeks or months are fitted to a continuously refined model of the spacecraft's trajectory.
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