基于连续同伦算法的天基仅测角初定轨方法

要进一步提高天基短弧初定轨的精度,在观测资料精度较高的情况下,仅考虑二体问题是不够的,还应考虑轨道摄动的影响。因此,基于无摄初轨的单位矢量法原理和矢量斜分解方法,给出了考虑摄动的天基仅测角初定轨单位矢量法。针对天基仅测角观测条件方程组求解过程中易出现迭代不收敛或收敛到平凡解的问题,引入连续同伦算法求解观测条件方程组,提出了单星观测方式下的空间目标天基仅测角初定轨方法,并通过数值仿真算例验证了该算法在较大范围的收敛性和数值稳定性。

Space Based Bearings Only Initial Orbit Determination Method Based on Homotopy Continuation Theory

To further increase the accuracy of short arc initial orbit determination for high earth orbit objects,it is not enough to only consider the two body problem if the accuracy of observation data is high.The impact of orbit perturbation has to be also considered.Based on the principle of unit vector method and non orthogonal decomposition method,a space based bearings only unit vector method taking into consideration perturbation is presented.In view of the iterative divergence and convergence to trivial solution disadvantage in the solving process of space based bearings only observation equations,homotopy continuation theory is introduced into short arc initial orbit determination,and a space based bearings only initial orbit determination method for single satellite observation mode is proposed for space objects.Simulation and computational results show that the proposed method features large scale convergence and numerical stability.