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基于星间测距和星间测角对小卫星编队进行自主相对状态确定。卫星编队采用圆轨道串行双星编队方式,Hill方程对此构型不再适用,文中以卫星在惯性坐标系下的轨道动力学方程为基础,详细推导出卫星的相对运动动力学模型,并建立测量方程。由于测量方程为非线性方程,为避免线性化误差,提高测量精度,采用无迹卡尔曼滤波(UKF)算法,以双星编队为例,进行了数学仿真。仿真结果表明,该算法易于实现,并具有较高的精度。
Determination of autonomous relative states of small satellites formation based on inter-satellite ranging and inter-satellite goniometry. The satellite formation uses a circular orbital double star formation. The Hill equation is no longer suitable for this configuration. Based on the orbital dynamics equation of the satellite in the inertial coordinate system, the relative kinematic model of the satellite is deduced in detail and established Measurement equation. In order to avoid the error of linearization and improve the measurement accuracy, the unscented Kalman filter (UKF) algorithm is used to calculate the nonlinear equation. Simulation results show that the algorithm is easy to implement and has high precision.