Cover: A Mathematical Foundation for Selecting Radar Locations for Operational Testing of Inertial Systems

A Mathematical Foundation for Selecting Radar Locations for Operational Testing of Inertial Systems

Published 1970

by J. M. Bachar

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One in a series of memoranda exploring new techniques in ICBM testing and improvements in the test-range configuration. It contains the mathematical foundations for a computer program that determines the optimal locations of the radar trackers on a missile test range, such that a certain statistical estimate of miss, relative to the actual impact point, is minimized. The memorandum considers the problem of radar-tracking, during boost phase, a rocket vehicle navigated by an inertial measurement unit (IMU). If the maximum likelihood estimate of the IMU parameters that produced a given set of noisy range data is determined, and if the maximum likelihood estimate of miss is calculated from this parameter estimate, then the vehicle miss covariance matrix is a function of the radar map locations. The study presents an optimization scheme for locating the radars such that the maximum eigenvalue of the covariance matrix is minimized.

This report is part of the RAND research memorandum series. The Research Memorandum was a product of RAND from 1948 to 1973 that represented working papers meant to report current results of RAND research to appropriate audiences.

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