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Design of Minimum Time Maneuvers for Multi-Spacecraft Interferometric Imaging Systems

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Abstract

In this paper, we consider the design of minimum time maneuvers for multi-spacecraft interferometric imaging systems. We show that the process of image formation in a multi-spacecraft interferometric imaging system is analogous to painting a “large disk” with smaller “paintbrushes,” while satisfying a paint thickness constraint. We show that spiral maneuvers form the dominant set for the painting problem. Further, we frame the minimum time problem in the space of spiral maneuvers and obtain the Double Pantograph Problem. We show that the solution of a discretized version of the Double Pantograph Problem is given by the solution to two associated linear programming problems. We illustrate our results through an imaging example where the image of a fictitious exo-solar planet is formed using the maneuver prescribed by the Double Pantograph Problem.

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Authors and Affiliations

  1. Department of Aerospace Engineering, Texas A&M University, College Station, USA

    Suman Chakravorty (Assistant Professor)

  2. Department of Aerospace Engineering, The University of Michigan, Ann Arbor, USA

    Pierre T. Kabamba (Professor)

  3. Texas A&M University, USA

    David C. Hyland (Associate Dean of Engineering)

Authors
  1. Suman Chakravorty
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  2. Pierre T. Kabamba
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  3. David C. Hyland
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Correspondence to Suman Chakravorty.

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Chakravorty, S., Kabamba, P.T. & Hyland, D.C. Design of Minimum Time Maneuvers for Multi-Spacecraft Interferometric Imaging Systems. J of Astronaut Sci 52, 301–329 (2004). https://doi.org/10.1007/BF03546366

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  • DOI: https://doi.org/10.1007/BF03546366

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