A Unified Approach to The Orbital Tracking Problem

J. Kent, Shambo Bhattacharjee, W. Faber, I. Hussein
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引用次数: 2

Abstract

Consider an object in orbit about the earth for which a sequence of angles-only measurements is made. This paper looks in detail at a one-step update for the filtering problem. Although the problem appears very nonlinear at first sight, it can be almost reduced to the standard linear Kalman filter by a careful formulation. The key features of this formulation are (1) the use of a local or adapted basis rather than a fixed basis for three-dimensional Euclidean space and the use of structural rather than ambient coordinates to represent the state, (2) the development of a novel "normal:conditional- normal" distribution to described the propagated position of the state, and (3) the development of a novel "Observation- Centered" Kalman filter to update the state distribution.A major advantage of this unified approach is that it gives a closed form filter which is highly accurate under a wide range of conditions, including high initial uncertainty, high eccentricity and long propagation times.
轨道跟踪问题的统一方法
考虑地球轨道上的一个物体,对它进行了一系列只测量角度的测量。本文详细介绍了过滤问题的一步更新。虽然这个问题乍一看非常非线性,但通过仔细的表述,它几乎可以简化为标准的线性卡尔曼滤波。该公式的主要特点是:(1)使用局部或适应基而不是三维欧几里得空间的固定基,并使用结构坐标而不是环境坐标来表示状态,(2)发展了一种新的“正态:条件正态”分布来描述状态的传播位置,以及(3)发展了一种新的“以观测为中心”的卡尔曼滤波器来更新状态分布。这种统一方法的一个主要优点是,它提供了一个封闭形式的滤波器,在广泛的条件下,包括高初始不确定性,高偏心和长传播时间,都是高精度的。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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