A differential equation model, finding the drowning point when search for crashed planes

摘要

To solve searching problem, we will establish a model to describe the trajectory of the falling and determine the drowning point. With the application of kinematics knowledge, we obtain relationship between time and displacement in the both horizontal and vertical directions. We use linear fitting to draw the air density-altitude curve considering the changes of air density, so that we can establish a differential equation model and use Runge-Kutta method to get the numerical solution, then we can draw the falling curve in the two-dimensional plane.