A new boundary layer matching procedure for singularly perturbed system

This short paper proposes a procedure for applying singular perturbation methods to separately analyze state dynamics even when they vary on the same time scale. The intent is to expand the family of problems to which these methods can be successfully applied. In particular, several problems in flight mechanics are identified. Numerical results for the minimum time to climb problem are given where the procedure is used to separate altitude and flight-path angle dynamics to produce a closed-form solution for lift.