Stability and Control of Hypervelocity Vehicles

摘要

This report investigates the general class of problems associated with the flight dynamics of hypervelocity vehicles and their control. After an examination of typical vehicles, flight environment, operating conditions and trajectories, a general analytical theory is developed to solve the significant problems. Based on typical flight scenarios, the dynamics are appropriately formulated to fit the situation in question. Thus the flight dynamics are investigated on a variety of trajectories, including re-entry and flight on constant-latitude minor circles at constant altitude. Re-entry and flight on constant-latitude minor circles at constant altitude. Re-entry dynamics are analyzed along steep, shallow, and arbitrary trajectories. Asymptotic analytical solutions are developed by the Generalized Multiple Scales method, in which the clock functions are necessarily nonlinear and complex quantities in order to solve the nonlinear and time varying dynamics. Keywords: Space shuttles; Generalized multiple time scales. (EDC)