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ORBIT DETERMINATION ACROSS UNKNOWN MANEUVERS USING THE ESSENTIAL THRUST-FOURIER-COEFFICIENTS

机译:使用基本推力-傅立叶系数确定未知机动的轨道

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Any maneuver performed by a satellite transitioning between two arbitrary orbital states can be represented as an equivalent maneuver involving Thrust-Fourier-Cocfficicnts (TFCs). With a selected TFC set as a basis, a thrust acceleration can be constructed to interpolate two unconnected states across an unknown maneuver. This representation technique with TFCs enables us to facilitate the analytical propagation of uncertainties of the satellite state. This approach allows for the usage of existing pre-maneuver orbit estimation to compute the orbit solution after the unknown maneuver. In this paper, we applied this approach to orbit determination (OD) problems across unknown maneuvers by appending different combinations of TFCs to the estimated state vector in the batch filter. The aim is to investigate how different maneuver representations with different TFC sets affect the OD solution across unknown maneuvers. Simulation results show that each TFC set provides different representation of the unknown perturbing acceleration, which yields varying magnitudes of delta velocity for a given maneuver. However, OD solutions across unknown maneuvers using different TFC sets display the equivalent performance over the post-maneuver arc as long as those TFC sets are capable of generating the apparent secular motion caused by a given unknown maneuver.
机译:卫星在两个任意轨道状态之间转换所执行的任何操纵都可以表示为等效推演,涉及推力-傅里叶-交战(TFC)。以选定的TFC设置为基础,可以构建推力加速度以在未知操纵中内插两个未连接状态。这种具有TFC的表示技术使我们能够促进卫星状态不确定性的分析传播。该方法允许使用现有的机动前轨道估计来计算未知机动后的轨道解。在本文中,我们通过将TFC的不同组合附加到批​​处理过滤器中的估计状态向量上,将这种方法应用于未知机动中的轨道确定(OD)问题。目的是研究具有不同TFC集的不同操纵表示如何影响未知操纵之间的OD解决方案。仿真结果表明,每个TFC集都提供了未知扰动加速度的不同表示形式,对于给定的操作,这会产生变化的增量速度幅度。但是,使用不同的TFC集合进行未知操纵的OD解决方案在操纵后弧上显示出相同的性能,只要这些TFC集合能够生成由给定未知操纵引起的表观长期运动即可。

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