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Published in:
2021 | OriginalPaper | Chapter
Numerical Analysis of the Ill-Posedness of Ground-Based 2D Radar Short-Arc Orbit Determination
Authors : Zhengtao Zhang, Qiang Huang, Jianguo Yu
Published in: Communications, Signal Processing, and Systems
Publisher: Springer Singapore
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Abstract
2D radar is often used in battlefield surveillance but is unable to obtain the pitch information about the target, resulting in inaccurate target state estimation. Therefore, it is significant to study the 2D radar short-arc orbit determination problem. This paper numerically analyzes the ill-posedness of this problem. Firstly, by examining the Fisher information matrix, the solution of 2D radar short-arc orbit determination can be described as a single-parameter orbit family. Secondly, a feasible method to obtain the starting orbit is given based on the Lambert theory. Lastly, the homotopy method is employed to calculate the solution family of this problem. Using the algorithm proposed in this paper, this ill-posed orbit determination problem is solved and the solution is described as a curve in the state space.