The prediction of satellite ephemeris errors as they result from surveillance system measurement errors

Mathematics

Scientific paper

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Computer Programs, Ephemerides, Error Analysis, Orbit Calculation, Prediction Analysis Techniques, Satellite Tracking, Space Surveillance (Ground Based), Covariance, Estimating, Mathematical Models, Matrices (Mathematics), Position (Location), Transformations (Mathematics), Vector Analysis

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Scientific paper

Abstract

This report derives equations predicting satellite ephemeris error as a function of measurement errors of space-surveillance sensors. These equations lend themselves to rapid computation with modest computer resources. They are applicable over prediction times such that measurement errors, rather than uncertainties of atmospheric drag and of Earth shape, dominate in producing ephemeris error. This report describes the specialization of these equations underlying the ANSER computer program, SEEM (Satellite Ephemeris Error Model). The intent is that this report be of utility to users of SEEM for interpretive purposes, and to computer programmers who may need a mathematical point of departure for limited generalization of SEEM.

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