Question: R (Open) Two identical hypervelocity intercontinental ballistic missiles enter the atmosphere of Earth atM=35. One type of detection is based on the temperature of the

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(Open) Two identical hypervelocity intercontinental ballistic missiles enter the atmosphere of Earth atM=35. One type of detection is based on the temperature of the vehicle skin at the leading edge, thus lowering the leading edge temperature is of utmost importance. The first hypervelocity vehicle has a blunt leading edge that causes a bow shock to form. The second hypervelocity vehicle has a sharp leading edge that causes an oblique shock to form. Estimate the ratio of the leading edge temperatures of the first to second hypervelocity vehicles. Also, which vehicle dissipates heat from the leading edge more efficiently? Note that this use to be an open problem, but the solution was recently made public by DARPA.

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