Dilmurat M. Azimov (University of Hawaii at Manoa), Robert H. Bishop (OPUS)
Keywords: SSA
Abstract:
A complete analytical integration of the kinematic and dynamic equations of motion and applications of their integrals to targeting and guidance schemes for various dynamical models of various flight vehicles are presented. The general integral of these equations consists of six independent first integrals of motion and describes a class of non-steady flight trajectories in a maneuver plane. These first integrals represent explicit relationships for time, components of position and velocity vectors, and propulsive and aerodynamic accelerations. This explicitness with respect to the problem parameters can make these relationships useful in the design of airspace trajectories, and targeting and guidance schemes. It is also shown that the equations represent a 3rd-order vector differential equation used to develop the nonlinear maneuver model of a flight vehicle, and the state estimation and prediction schemes. Similarity in the dynamical models makes the first integrals valid for re-entry vehicles and missiles. An illustrative example has shown that the general integral provides a complete set of analytical solutions for nonlinear tracking, targeting, guidance and control problems with a wide range of terminal conditions, accelerations due to propulsive thrust and aerodynamic forces.
Date of Conference: September 11-14, 2012
Track: Poster