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# Accession Number:

## AD0718967

# Title:

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

# Descriptive Note:

# Corporate Author:

## RAND CORP SANTA MONICA CALIF

# Report Date:

## 1970-12-01

# Pagination or Media Count:

##
37.0

# 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

# Distribution Statement:

## APPROVED FOR PUBLIC RELEASE

#