The similarity law for steady hypersonic flow about slender shapes is extended to nonsteady flows. Similitude for nonsteady flows is found to depend on the same conditions as for steady flows plus additional conditions derived from the nonsteady motions of the bodies under consideration. The aerodynamic forces and moments are correlated for related shapes by means of this law.nRequirements for dynamical similarity of related shapes in free flight, including the correlation of their flight paths, are obtained using the aerodynamic forces and moments as correlated by the hypersonic similarity law. In addition to the conditions of hypersonic similarity, dynamical similarity depends upon conditions derived from the inertial properties of the bodies and the immersing fluids. In order to have dynamical similarity, however, rolling motions in combination with other motions must be eliminated.
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