Optimal plane change during constant altitude hypersonic flight

K. D. MEASE, N. X. VINH, S. H. KUO
1991 Journal of Guidance Control and Dynamics  
In a previous paper, we addressed the problem of choosing constant values of altitude, speed, and angle of attack such that the orbital plane change during hypersonic flight is maximized for a fixed amount of propellant consumption. In the present paper, the restrictions of constant speed and angle of attack are removed. Necessary conditions for solutions to the resulting optimal control problem are derived. Numerical solutions are obtained for several specific cases under the assumption that
more » ... e assumption that the constant altitude trajectory that maximizes the plane change is primarily a singular arc. We find that, under the condition of constant altitude flight, it is not, in general, optimum to fly at constant angle of attack. The reduction in plane change capability resulting from a constant angle-of-attack program increases as the range over which the flight takes place increases. On the other hand, the optimum speed is nearly constant. Phone (301) 645-5643 Dept. 415 FAX (301) 843-0159 Postage and handling $4.75 for I-4 books (call for rates for higher quantities). Sales tax: CA residents add 7%, DC residents add 6%. Orders under $50 must be prepaid. Foreign orders must be prepaid. Please allow 4 weeks for delivery. Prices are subject to change without notice. 945
doi:10.2514/3.20715 fatcat:kplnufmgtrehzdyckixzr2fhra