A simple and efficient performance analysis method is developed for ev
aluating vehicle pitch and engine throttle controls to minimize booste
r fuel required to rill second-stage liquid oxygen (LOX) tanks and del
iver the vehicle to the staging point. An optimization methodology fin
ds a throttle schedule that controls both the air-breathing engine and
the LOX collection rate. The altitude-velocity profile is derived fro
m a variational calculus/energy management contouring method. Automati
c adaptive-gain pitch-rate and throttle controls are developed. Result
s from a parametric study show that collecting on the run for an optim
um schedule results in a 17% fuel savings over collection at a constan
t Mach number.