مدلسازي حركت هواپيما در گردباد و مسيرهاي بهينه زماني

Modeling of Airplane Movement in Tornado and Time Optimal Trajectories

Tornado phenomenon is a natural disaster that can be studied by using a special plane, called Tornado plane and a weather reconnaissance device called dropsonde. Finding the optimal time trajectories for the airplane, in order to exit the tornado region as soon as possible is indispensable. In this paper, it is considered the problem of airplane movement in tornado at point of view the Finsler geometric and a mathematical model for the time optimal trajectories of airplane in tornado is presented. It has shown that the geometry of airplane movement in tornado is of Randers type. Therefore, the time optimal trajectories of this problem will be the geodesies of this Randers metric. Finally, an example of a plane entering into a tornado is shown and the graph of time optimal trajectories has been sketched.