Accession Number : ADA299894

Title :   Application of the Hill Equation in Long Distance Interception.

Corporate Author : NATIONAL AIR INTELLIGENCE CENTER WRIGHT-PATTERSON AFB OH

Personal Author(s) : Xiang, Chen J.

PDF Url : ADA299894

Report Date : 18 AUG 1995

Pagination or Media Count : 17

Abstract : A method to reduce the model error of the Hill equation for long relative distances is proposed in this paper; this is done by coordinate shifting to reduce the long relative distance of the original system to a small one in a new system. That is, as the relative distance of the interceptor reaches a particular precision parameter value p1 (p1 is defined as a controlled precision parameter, for example, P1= 500km), an imaginary moving reference system with its origin at the interceptor's initial position is set up, and the relative motion parameters of the interceptor in its original system are converted into those in the new system (obviously the initial relative distance in the new system will be p sub 0 approaches 0). As a result, the long distance problem becomes a small one, and the descriptive precision of the Hill equation is improved. This paper provides a theoretical analysis for this method and two examples of computer simulation. This method does indeed reduce model error for long relative distances in the Hill equation, producing satisfactory results.

Descriptors :   *INTERCEPT TRAJECTORIES, COMPUTERIZED SIMULATION, LONG RANGE(DISTANCE), SHIFTING, COORDINATES, ERRORS, TRANSLATIONS, EQUATIONS, INTERCEPTORS, CHINA, CHINESE LANGUAGE.

Subject Categories : Bionics

Distribution Statement : APPROVED FOR PUBLIC RELEASE