Werner Grimm and Markus Hans established two kinds of optimal turn rate viz., accelerating control and decelerating control for an aircraft to obtain a specified heading and speed in a minimum time. Either of the two controls or both with transition of one control to the other are required to use for this purpose. Unlike in the previous papers in the present feature the velocity, range, altitude and interestingly curvilinear path acquired by the aircraft in an arbitrary time in course of either optimal turning are determined in closed form. A change of the boundary condition to simplify the optimization technique is also suggested. Finally a few numerical examples are cited
