First-Order Error Propagation in a Stagewise Smoothing Procedure for Satellite Observations

by Peter Swerling

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A method of smoothing observational data (using variations of the classical method of minimizing a quadratic form in the residuals) in cases in which observations are determined by the time of observation plus a finite number of parameters, called elements. The object of this stagewise procedure is to estimate the elements. The first-order dependence of errors in estimates on the observation errors is established. Applications to estimation of earth-satellite orbits are discussed.

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