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trail axisymmetr hyperson blunt bodi fli atmospher trail left atmospher bodi move hyperson speed subject theoret treatment time requir ioniz dissoci invers process complet compar flow time particl import determin observ effect hyperson trail emit thermal radiat reflect electromagnet wave trail order simplifi theoret treatment trail divid two region expans control trail treat behavior wake behind bodi point along direct flight pressur decay free stream valu cool control princip expans flow conduct control trail trail cool mainli diffus heat away high temperatur core influenc detail bodi shape observ discuss simpl comput procedur behavior conduct control trail develop base integr method result calcul assum thermodynam equilibrium flow field give valu thermodynam variabl trail sphere axial distribut emit thermal radiat map electron densiti distribut shown cool conductioncontrol trail essenti due conduct heat viscou effect import found portion trail widen one proce downstream flight veloc consid vari sec altitud rang