Covariance Analysis for Deep-Space
Satellites with Radar and Optical Tracking Data
August 2005
James G. Miller, The MITRE Corporation
ABSTRACT
Covariance analysis for the special perturbations orbit determination
problem for deep-space satellites is considered to determine the relative
merit of radar and optical tracking data. Deep-space radars provide
very accurate range measurements, but less accurate angle measurements.
Optical sensors provide very accurate angle measurements, but make no
range measurements since they are passive systems. The relationship
of the size of the spatial part of the covariance to the relative track
density of radar and optical tracks in the orbit determination fit interval
is illustrated for various satellite orbits, including circular semi-synchronous,
highly eccentric semi-synchronous, and geosynchronous.

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