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Mathematics > Optimization and Control

arXiv:2210.10120 (math)
[Submitted on 18 Oct 2022 (v1), last revised 18 Jan 2023 (this version, v2)]

Title:Initial Orbit Determination from Only Heading Measurements

Authors:John A. Christian
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Abstract:This work introduces the problem of initial orbit determination (IOD) from only heading measurements. Such a problem occurs in practice when estimating the orbit of a spacecraft using visual odometry measurements from an optical camera. After reviewing the problem geometry, a simple solution is developed in the form of an iterative scheme on the parameters describing the orbital hodograph. Numerical results are presented for an example spacecraft in low lunar orbit. The principal intent of this brief study is to communicate the existence of a new class of IOD problem to the community and to encourage the broader study of hodographs and heading-only IOD.
Subjects: Optimization and Control (math.OC); Computer Vision and Pattern Recognition (cs.CV)
Cite as: arXiv:2210.10120 [math.OC]
  (or arXiv:2210.10120v2 [math.OC] for this version)
  https://doi.org/10.48550/arXiv.2210.10120

Submission history

From: John Christian [view email]
[v1] Tue, 18 Oct 2022 19:31:00 UTC (1,198 KB)
[v2] Wed, 18 Jan 2023 15:32:12 UTC (588 KB)
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