Accession Number : ADA113668

Title :   Quasilinearization Solution of the Proportional Navigation Problem.

Descriptive Note : Technical rept.,

Corporate Author : ARMY MISSILE COMMAND REDSTONE ARSENAL AL SYSTEMS SIMULATION AND DEVELOPMENT DIRECTORATE

Personal Author(s) : Alspaugh,Dale W ; Hallum,Maurice M , III

PDF Url : ADA113668

Report Date : Jun 1981

Pagination or Media Count : 24

Abstract : An approximate solution is presented in this report for the trajectory of a constant-speed missile following a planar intercept trajectory based on proportional navigation guidance. The technique of quasilinearization is used to generate a sequence of solutions. An explicit solution is developed using the first recursive solution. The accuracy of this solution is discussed in the context of specific sets of parameters. It is shown that this explicit solution provides excellent accuracy over a wide range of intercept trajectories. (Author)

Descriptors :   *Mathematical prediction, *Mathematical analysis, *Proportional navigation, *Intercept trajectories, *Guided missile trajectories, *Guidance, Accuracy, Parameters, Approximation(Mathematics), Equations, Algorithms, Line of sight, Nonlinear differential equations, Interception, Differential equations, Coordinates, Iterations, Numerical integration, Trajectories, LInear differential equations, Control, Automatic, Optimization, Equations of motion, Boundary value problems, Geometry, Time studies, Solutions(General), Sequences, Recursive functions, Range(Extremes)

Subject Categories : Theoretical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE