Analytical solution of the optimal three dimensional reentry problem using Chapman's exact equations

Details Analytical solution of the optimal three dimensional reentry problem using Chapman's exact equations Analytical solution of the optimal three dimensional reentry problem using Chapman's exact equations

Sep 1974

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1974amst.iafcr....v&link_type=abstract

International Astronautical Federation, International Astronautical Congress, 25th, Amsterdam, Netherlands, Sept. 30-Oct. 5, 197

Physics

Equations Of Motion, Lifting Reentry Vehicles, Optimal Control, Reentry Physics, Trajectory Optimization, Aerodynamic Coefficients, Control Theory, Differential Equations, Dimensionless Numbers, Hamiltonian Functions, Lift Drag Ratio, Numerical Integration, Optimal Control, Space Shuttles

Scientific paper

This paper presents the general solution for the optimal three dimensional aerodynamic control of a lifting vehicle entering a planetary atmosphere. A set of dimensionless variables is introduced, and the resulting exact equations of motion have the distinctive advantage that they are completely free of the physical characteristics of the vehicle. Furthermore, a general lift-drag polar is used to define the aerodynamic control. Hence, the results obtained apply to any type of vehicle of arbitrary weight, dimensions and shape, having an arbitrary polar and entering any planetary atmosphere.

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