 predict shock envelop type vehicl larg angl attack predict shock envelop type vehicl larg angl attack method base obliqu- normal-shock relationship continu mass flow suitabl chosen volum element shock bodi develop predict shock envelop type vehicl consid atmospher entri type high-drag capsul shape type essenti slender triangular wing capabl provid high lift high drag depend angl attack predict measur shock envelop compar mach number rang 3 15 vehicl high angl attack good agreement experiment data speed temperatur rang real-ga effect occur 