Application of the method of invariant relations in analyzing the parametric dependences of the aerodynamic parameters of the classical axisymmetric noses of flight vehicles

The method of invariant relations rigorously validated under the conditions of “local mechanical interaction” is applied to the derivation of approximate formulas for calculating the aerodynamic parameters of axisymmetric flight vehicles, whose generators represent combinations of rectilinear and ogive-shaped sections, on a basis of three canonical vehicle shapes with the same mid-sections in reduced coordinates. These are the circular disk, the spherical segment, and the sharp circular cone tangent to the segment along the contour of its mid-section, with the semi-vertex angle 0 ≤ θ k < 90°.