
Accession Number : AD0718967
Title : A Mathematical Foundation for Selecting Radar Locations for Operational Testing of Inertial Systems,
Corporate Author : RAND CORP SANTA MONICA CALIF
Personal Author(s) : Bachar,John M.
Report Date : DEC 1970
Pagination or Media Count : 37
Abstract : The report is one in a series of memoranda exploring new techniques in ICBM testing and improvements in the testrange 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 radartracking, 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. (Author)
Descriptors : (*RADAR STATIONS, SITE SELECTION), (*GUIDED MISSILES, *RADAR TRACKING), INERTIAL NAVIGATION, MISS DISTANCE, MATHEMATICAL MODELS, MATRICES(MATHEMATICS), PARTIAL DIFFERENTIAL EQUATIONS, INTEGRALS, NUMERICAL INTEGRATION, RANDOM VARIABLES, PROBABILITY DENSITY FUNCTIONS, REENTRY VEHICLES
Subject Categories : Guided Missiles
Active & Passive Radar Detection & Equipment
Distribution Statement : APPROVED FOR PUBLIC RELEASE