Analysis of lateral maximal range based on maximum principle

A quick analysis approach based on Pontryagin principle is proposed to calculate the maximum cross-range, and the lateral accessible region in the new redefined coordinate is analyzed. The order and non-linearity of the point-mass motion function is reduced by coordinate transformation and replacing the independent variable, the trajectory optimization is cast as an optimal control problem, then the two point boundary value problem based on maximum principle is changed to a univariate root-finding problem with certain boundary, at last the accessible region question is analyzed using the method this article provided. The method could befittingly reduce the iteration and calculation, and the numerical results show that this analysis approach is effective.