## A study of the accuracy of estimating the orbital elements of a lunar satellite by using range and range-rate measurements |

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26 range 9 cos ft accuracy of determining accuracy of estimating appendix approximately 2500 kilometers argument of periapsis ascending node best estimate center of earth center of moon conditioned for inversion correlation matrices covariance matrix curves derivatives of range determining the elements double precision earth-moon plane eccentricity estimating the elements five consecutive orbits five orbits Hence high correlations ith measurement Langley Research Center lunar orbits mean anomaly nodal position nominal set nominal values nominal-orbit elements normal matrix number of observations number of orbits one-sigma error one-sigma uncertainty one-sigma values orbit is viewed orbit of tracking orbital elements orbits with semimajor parameters parametric study partial derivatives poorly conditioned range and 26 range and range range and range-rate range of inclinations range or range range or range-rate range rate range-rate data range-rate measurements rate with respect relative advantage rotation semimajor axis simultaneous standard deviation true anomaly weighted least squares