Abstract
Abstract Drone delivery trajectory prediction under extreme weather condition is an essential issue to consider in the application of unmanned aerial vehicles. In this paper, the nonlinear first-order differential equation system is established to describe the drone delivery trajectory, where the wind is considered in different formulations. In autonomous case where the variable “time” does not involve in equation system, the analytical solution is obtained. In the non-autonomous cases where variable “time” appear in our system, the numerical solutions are achieved by using the fourth-order method of Runge-Kutta. From the graphs of these solutions, it is clear to see that the nonlinear first-order systems proposed in this paper are reasonable to predict the trajectory of the unmanned aerial vehicle under different wind scenarios.
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