This paper newly presents what the optimal guidance strategy is for the vehicles, which fly along the so-called aerodynamic ascent path. As commonly utilized, the paper first shows the optimization results via the DCNLP method, while the paper secondly shows the other results via the SQP, direct optimization method. The latter is efficiently and easily carried out taking the advantage of the steering angle expressed in a certain orthogonal functions. The primary result of the paper is the analytical description of the
steering law, that relates to the optimization discussion. It is clearly concluded that a conventional linear tangent law is applicable only to non-lift vehicles. The conclusion, at the same time, indicates that the optimal guidance should take trigonometric functions in addition to those in the conventional linear tangent law. The results presented in the paper further extend the optimization process to the guidance scheme with numerical demonstrations. Since the linearized translation motion fits better for the analytical model, the results of the paper successfully could show the practical validity of it. The examples include the cases with the vehicle parameters varied from nominal and the sensitivity to those is also examined.
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