Analysis of Air Transportation Systems Fundamentals of Aircraft ...

Climb Performance Model SimplificationsFor small ( (flight path angle):sin(=T – D------------ –mg1dV--g dtwhere: the first term in the RHS accounts for possible changes inthe potential state of the vehicle (i.e., climb ability) and thesecond terms is the acceleration capability of the aircraft whileclimbing. Further algebraic manipulation yields,V sin(dh V[ T – D]= = --------------------- –dt mgVdV--g dtwhere: dh dt is the rate of climb and V is the true airspeed. Note thatif one neglects the second term (acceleration factor) assuming smallchanges in V as the vehicle climbs one can easily estimate the rate ofthe climb of the vehicle for a prescribed climb schedule.(27)Virginia Tech - Air Transportation Systems Laboratory 118