A CLOSED-FORM SOLUTION TO LIFTING REENTRY
Technical rept., Aug 1964-Mar 1965
AIR FORCE FLIGHT DYNAMICS LAB WRIGHT-PATTERSON AFB OH
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This report derives closed-form expressions for predicting the longitudinal and lateral range attainable by lifting reentry vehicles. The resultant equations sensitively and accurately define the influence of LD ratio, bank angle and entry velocity variations over a spectrum of values. To illustrate the usefulness of the method, the derived expressions were used to conduct a parametric reentry study covering a range of LD ratios from 0.5 to 4. 0, bank angles from 0 to 75 degrees and entry velocities from 0.89V sub c to 0. 99V sub c. The results of this study are compared with those obtained from a high speed computer study using the same range of reentry conditions. As an aid to future investigators, a series of curves is presented giving longitudinal and lateral range values for various selected LD, bank angle and entry velocity values. For those wishing to investigate reentry under conditions not covered by these curves, a detailed recipe for utilizing the method is included in an appendix. A comparison of the results of this method with those of more rigorous methods for the same reentry conditions shows that the closed-form solution has sufficient accuracy and sensitivity to be of considerable value to those persons requiring a rapid, preliminary estimate of vehicle performance.
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