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 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. (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