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空间飞行器,如弹道式导弹,侦察卫星等,有特定的轨道参数,怎样准确估计出其轨道参数,对于维护国家安全有重要意义。此文以2012年全国研究生数学建模竞赛为依托,针对飞行器轨道主动段的运动模型,运用Levenberg-Marquardt非线性最小二乘法,实现了对该二阶微分方程组相关参数的准确估计,仿真结果显示拟合残差在10m数量级左右。
Space vehicles, such as ballistic missiles and reconnaissance satellites, have specific orbital parameters and how to accurately estimate their orbital parameters is of great significance to the maintenance of national security. In this paper, based on the National Graduate Mathematical Contest in 2012, the Levenberg-Marquardt nonlinear least square method is applied to the motion model of active orbit of the orbit. The accurate estimation of the related parameters of the second-order differential equations is achieved. The simulation results The fitted residuals are displayed on the order of 10m.