Effect of maximum lift to drag ratio on optimal aeroassisted plane changeThe influence of the maximum lift-to-drag ratio on the turning performance of an Orbital Transfer Vehicle is analyzed. Chapman's variables are used to formulate the equations of motion which are valid for both atmospheric flight and flight in a vacuum in a Newtonian gravitational field. Of the six adjoint variables involved in the variational formulation, four exact integrals and two approximate relations are obtained. This leads to an approximate but explicit control law for the lift and bank control. The control law is tested numerically for a whole range of entry speeds, from parabolic entry to near-circular entry with several values of maximum lift-to-drag ratio. The extensive numerical results, which are very accurate as compared to the exact optimal values, show that the maximum plane change for any speed ratio V(entry)/V(final) is simply proportional to the maximum lift-to-drag ratio, and depends solely on this parameter.
Document ID
19850061712
Acquisition Source
Legacy CDMS
Document Type
Conference Paper
Authors
Johannesen, J. R. (Michigan Univ. Ann Arbor, MI, United States)
Vinh, N. X. (Michigan, University Ann Arbor, United States)
Mease, K. D. (California Institute of Technology Jet Propulsion Laboratory, Pasadena, United States)