## Supplementary Note on Modified-impact-theory Calculations for Bodies of Revolution Having Minimum Drag at Hypersonic Speeds |

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_ Aerodynamic TION 2_ Bodies _ Bodies _ Aerodynamic bodies of revolution body of given body surface area CALCULATIONS FOR BODIES centrifugal forces Committee for Aeronautics conditions of given corresponding body obtained curvature diagr diameter and given diameter and surface DRAG AT HYPERSONIC drag parameter equation 9 equations 22 Euler's equation expressions for calculating free-stream given base diameter given body length given surface area given surface-area condition hypersonic flight hypersonic speeds impact forces integral to Euler's integrand function integrate equations Legendre condition length and volume lity meridian section minimizing curve minimum drag bodies minimum pressure foredrag modified impact theory modified in NACA NACA RM A51K27 NACA RM A52D24 National Advisory Committee Newtonian impact theory NOTE ON MODIFIED-IMPACT numerical integration obtainable from NACA region downstream represented parametrically Resnikoff revolution having minimum RM A52D24 CONFIDENTIAL ſº terminal condition theory as modified TION HAVING MINIMUM volume Given length