 trail axisymmetr hyperson blunt bodi fly atmospher trail axisymmetr hyperson blunt bodi fly atmospher trail left atmospher bodi move hyperson speed subject theoret treatment time requir ioniz dissoci invers process complet compar flow time ga particl determin observ effect hyperson trail-i emit thermal radiat reflect electromagnet wave trail order simplifi theoret treatment trail divid region 1 expans-control trail treat behavior wake bodi point direct flight pressur decai free-stream cool control princip expans flow 2 conduct-control trail trail cool diffus heat high-temperatur core influenc detail bodi shape observ discuss simpl comput procedur behavior conduct-control trail develop base integr method calcul assum thermodynam equilibrium flow field valu thermodynam variabl trail sphere axial distribut emit thermal radiat map electron densiti distribut cool conduct-control trail essenti conduct heat viscou effect portion trail widen proce downstream flight veloc consid vari 15 000 35 000 ft altitud rang 100 000 250 000 ft 