论文标题
在扰动的两体问题中，接近线性的轨道不确定性传播
Near-Linear Orbit Uncertainty Propagation in the Perturbed Two-Body Problem
论文作者
论文摘要
本文解决了在处理不确定性传播的两体问题时，最小化非线性的影响的问题。最近引入的广义等E轨道元件集（GEQOE）被用作减少因j $ _2 $和高阶重力场谐波而产生的非线性效应的一种手段。在不确定性分布的Mahalanobis距离上，评估了不同地球轨道场景中提议的元素集合的不确定性传播性能，包括低头轨道升高。与到目前为止提出的所有要素相比，获得了相当大的改进。
The paper addresses the problem of minimizing the impact of non-linearities when dealing with uncertainty propagation in the perturbed two-body problem. The recently introduced generalized equinoctial orbital element set (GEqOE) is employed as a means to reduce non-linear effects stemming from J$_2$ and higher order gravity field harmonics. The uncertainty propagation performance of the proposed set of elements in different Earth orbit scenarios, including low-thrust orbit raising, is evaluated using a Cramér-von Mises test on the Mahalanobis distance of the uncertainty distribution. A considerable improvement compared to all sets of elements proposed so far is obtained.
