多点测量数据拟合参数的空间飞行器相对轨迹预报方法

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多点测量数据拟合参数的空间飞行器相对轨迹预报方法

本发明属于航天器动力学与控制技术领域，公开了一种多点测量数据拟合参数的空间飞行器相对轨迹预报方法。该方法通过将传统基于动力学规律C_W方程转换为关于十二个常系数和正选、余弦的齐次方程组，并将齐次方程组进行行列式变换，构造最小二乘拟合方程，利用多点测量数据的积累，求解十二个常系数，再利用求解所得的十二个常系数作为方程系数，按照时间进行相对轨迹预报。采用上述方法，能够显著克服运动模型误差和测量初值误差对相对轨迹预报的影响，提高空间飞行器相对轨迹预报精度。

Method for predicting relative orbits of space vehicles by making multi-point measurement data fit parameters

The invention belongs to the technical field of spacecraft dynamics and control and discloses a method for predicting relative orbits of space vehicles by making multi-point measurement data fit parameters. The method comprises the steps that a traditional dynamics-law-based C_W equation is converted into a system of homogeneous equations related to twelve constant coefficients, sines and cosines, the system of homogeneous equations are subjected to determinant conversion to construct a least square fit equation, the twelve constant coefficients are solved by accumulating the multi-point measurement data, the solved twelve constant coefficients serve as equation coefficients, and the relative orbits are predicted by time. By adopting the method, the influence of errors of a motion model and errors of an initial measurement value on prediction of the relative orbits can be remarkably overcome, and the prediction accuracy of the relative orbits of the space vehicles is improved.