This paper defines a set of six non-singular orbital elements designed specifically for the characterization of uncertainty in the state of a resident space object in circular or elliptic orbit and demonstrates their use for uncertainty propagation in the context of the perturbed two-body problem of orbital mechanics. As evidenced by the time evolution of the Cramér–von Mises test statistic, representation of the orbital state probability density function in J\(_2\)EqOE yields less nonlinear uncertainty propagation and provides covariance and uncertainty realism for much longer periods of time than what is possible using Cartesian coordinates or even equinoctial orbital elements, without an appreciable increase in computational cost.

本文定义了一组六个非奇异的轨道元素，这些元素专门设计用于表征圆形或椭圆形轨道上的居住空间物体的状态中的不确定性，并展示了它们在扰动两体问题的背景下用于不确定性传播的用途。轨道力学。正如Cramér–von Mises测试统计量随时间演变所证明的那样，J \（_ 2 \） EqOE中轨道状态概率密度函数的表示产生的非线性不确定性传播较少，并且在更长的时间内提供协方差和不确定性现实性。使用笛卡尔坐标或什至等位轨道元素是可能的，而不会显着增加计算成本。