Analytic continuation extended Kalman filter framework for perturbed orbit estimation using a network of space-based observers with angles-only measurements

IF 2.7 1区物理与天体物理 Q2 ASTRONOMY & ASTROPHYSICS

Astrodynamics Pub Date : 2022-05-18 DOI:10.1007/s42064-022-0138-0

Tahsinul Haque Tasif, James E. Hippelheuser, Tarek A. Elgohary

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引用次数: 2

Abstract

This work presents a new method for space-based angles-only orbit estimation. The approach relies on the integration of a novel and highly accurate Analytic Continuation technique with a new measurement model for multiple observers for inertial orbit estimation. Analytic Continuation computes the perturbed orbit dynamics, as well as the perturbed state transition matrix (STM), in the inertial frame. A new measurement model is developed for simultaneous measurements using a constellation of low-cost observers with monocular cameras for angles-only measurements. Analytic Continuation and the new measurement model are integrated in an Extended Kalman Filter (EKF) framework, where the Analytic Continuation method is used to propagate the perturbed dynamics and compute the perturbed STM and error covariance, with the measurements obtained via the new measurement model. Two case studies comprising small and large constellations of observers are presented, along with cases of sparse measurements and a study of the computational efficiency of the proposed approach. The results show that the new approach is capable of producing highly accurate and computationally efficient perturbed orbit estimation results compared with classical EKF implementations.

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分析延拓扩展了卡尔曼滤波框架，用于仅测量角度的天基观测站网络摄动轨道估计

这项工作提出了一种新的基于空间的纯角度轨道估计方法。该方法依赖于将一种新的、高精度的分析连续技术与一种用于惯性轨道估计的多个观测器的新测量模型相结合。解析连续法计算了惯性系中的扰动轨道动力学，以及扰动状态转移矩阵（STM）。开发了一种新的测量模型，用于使用低成本观测者和单目相机进行仅角度测量的同时测量。分析连续性和新的测量模型集成在扩展卡尔曼滤波器（EKF）框架中，其中分析连续性方法用于传播扰动动力学并计算扰动STM和误差协方差，测量值通过新的测量模式获得。介绍了包括小型和大型观测者星座的两个案例研究，以及稀疏测量的案例和所提出方法的计算效率研究。结果表明，与经典的EKF实现相比，新方法能够产生高精度和计算效率的扰动轨道估计结果。

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来源期刊

Astrodynamics Engineering-Aerospace Engineering

CiteScore

6.90

自引率

34.40%

发文量

期刊介绍： Astrodynamics is a peer-reviewed international journal that is co-published by Tsinghua University Press and Springer. The high-quality peer-reviewed articles of original research, comprehensive review, mission accomplishments, and technical comments in all fields of astrodynamics will be given priorities for publication. In addition, related research in astronomy and astrophysics that takes advantages of the analytical and computational methods of astrodynamics is also welcome. Astrodynamics would like to invite all of the astrodynamics specialists to submit their research articles to this new journal. Currently, the scope of the journal includes, but is not limited to:Fundamental orbital dynamicsSpacecraft trajectory optimization and space mission designOrbit determination and prediction, autonomous orbital navigationSpacecraft attitude determination, control, and dynamicsGuidance and control of spacecraft and space robotsSpacecraft constellation design and formation flyingModelling, analysis, and optimization of innovative space systemsNovel concepts for space engineering and interdisciplinary applicationsThe effort of the Editorial Board will be ensuring the journal to publish novel researches that advance the field, and will provide authors with a productive, fair, and timely review experience. It is our sincere hope that all researchers in the field of astrodynamics will eagerly access this journal, Astrodynamics, as either authors or readers, making it an illustrious journal that will shape our future space explorations and discoveries.