Optimal Trajectories for Gliding in a Horizontal Plane
نویسنده
چکیده
This paper presents the optimal solutions to the maximum endurance subsonic by the application of Pontryagin's maximum principle. The gliding vehicle is assumed to be carried by an aeroplane which has a velocity vector heading along the line connecting aeroplane and target. Then at a certain point when the aeroplane is approaching, directly above, or leaving the target, the vehicle is released. The vehicle then glides to the target in the horizontal plane with a maximum flight time. The formulation is reduced to a minimum number of aerodynamic characteristics by the use of a set of dimensionless variables so that the results are applicable to a whole class of vehicles. Bank angle is the control variable. There are two constraints on the turning maneuverability, one is the load factor and the 4 other is the maximum lift coefficient. These two constraints are discussed in detail. Several optimal trajectories with different points of release are computed. For a specified altitude, it is found that there are a maximum radius of penetration and an absolute maximum endurance. Also, the influence of the altitude on the gliding flight in a horizontal plane is discussed. gliding trajectories in a horizontal plane
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