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The relative position determines of a cluster of satellites in near
circular orbit was investigated in previous thesis work. The
purpose of this thesis is to extend the concept to cover absolute
position determination. A Bayes filter is used for the estimator
with dynamics based on the two-body problem extended to account for
J2 perturbations. Measurements consist of combining Global
Positioning System (GPS) data for each satellite and range data
between the satellites. Simulations were conducted investigating
the accuracy obtainable when combining the measurements for input
into the filter. Performance results consist of comparing the
magnitude of the true error to the filter covariance as a function
of time. True errors are also compared to minimum accuracy
requirements for a space-based radar. The filter encountered
numerical difficulties due to the extreme accuracy requirements and
proved unsuccessful in providing usable estimates. The results
suggest separating the absolute and relative problems.
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