作　　者： (陶应奇）; (王新）; (张智海）; (谢枭琪）;

机构地区： 武警警官学院数学与物理系,四川成都610213

出　　处： 《绵阳师范学院学报》 2017年第8期31-39,共9页

摘　　要： 对于MH370失事飞机我们用数学模型描述出飞机从出事、坠落、坠毁的过程,分别建立了飞机在空中和水中的动力学模型,利用MATLAB软件解出坠机的轨迹方程,将坠机全过程分为三个阶段:故障阶段、坠机阶段、水中阶段.利用随机粒子分布,得出飞机的概率分布,利用空间离散化法划定区域,确定最终飞机的位置,达到了简化算法的效果. To analyze the MH370 crash,A mathematical model was established to describe the whole process of beginning,fall and crash,with respective dynamicmodels to the plane in the air and into the water. With MATLAB software tocalculate the track equation of the crashed plane,this paper divided the process into three stages：flying with fault,air crash,and in the water. The probabilitydistribution of the plane was obtained via stochastic particle distribution and the final possible location of the plane could be fixed through determining areas by spatial discretization method. This method simplified the algorithm of the event.

关 键 词： 力学几何模型 蒙特卡洛算法 微分方程 阻力系数 全局优化