ANALYTIC CHARACTERIZATION OF MEASUREMENT UNCERTAINTY AND INITIAL ORBIT DETERMINATION ON ORBITAL ELEMENT UNCERTAINTY AND CORRELATION

摘要

This paper applies the transformation of variables technique to analytically map measurementdomain probability density functions to nonlinearly related, but commonly utilizedstate domains for space surveillance. For full state construction, the Herrick-Gibbs initialorbit determination routine is employed with the transformation of variables technique appliedto assess state uncertainty and correlation resulting from the application of the routinefor objects residing in and transiting low Earth orbit. Results are reported for the Cartesian,osculating and mean orbital element domains and compared against Monte Carlo simulationresults and the commonly utilized similarity transformation.