Accession Number : ADA303109

Title :   Full Lyapunov Exponent Placement In Reentry Trajectories.

Descriptive Note : Master's thesis,

Corporate Author : AIR FORCE INST OF TECH WRIGHT-PATTERSON AFB OH SCHOOL OF ENGINEERING

Personal Author(s) : Platt, Michael H.

PDF Url : ADA303109

Report Date : DEC 1995

Pagination or Media Count : 103

Abstract : This study investigated the ability to control the chaotic reentry of a Delta-Clipper like vehicle by setting the values of initial arid final principal dynamical directions as well as the Lyapunov exponents. A model of the original controlled reentry vehicle was created through the use of the equations of motion in conjunction with an atmospheric model. A modified linear quadratic regulator allowed the set up of a boundary value problem which specified the Lyapunov exponents and determined the gain matrix as a function of time. The gain matrix can eventually be used in the control system of the vehicle. (AN)

Descriptors :   *ALGORITHMS, *ATMOSPHERE ENTRY, STABILIZATION, VELOCITY, MATHEMATICAL MODELS, REENTRY VEHICLES, LINEAR SYSTEMS, OPTIMIZATION, EQUATIONS OF MOTION, TIME DEPENDENCE, ACCELERATION, CHAOS, MATRICES(MATHEMATICS), ORIENTATION(DIRECTION), THESES, ANGLE OF ATTACK, BOUNDARY VALUE PROBLEMS, AERODYNAMIC DRAG, CONVERGENCE, CONTROL THEORY, DYNAMIC PROGRAMMING, ALTITUDE, FLIGHT PATHS, TRAJECTORIES, OPEN LOOP SYSTEMS, AERODYNAMIC LIFT, ATMOSPHERE MODELS, CLOSED LOOP SYSTEMS, LAUNCH VEHICLES, LYAPUNOV FUNCTIONS.

Subject Categories : Spacecraft Trajectories and Reentry

Distribution Statement : APPROVED FOR PUBLIC RELEASE