Design of minimum time maneuvers for multispacecraft interferometric imaging systems

Suman Chakravorty; Pierre T. Kabamba; David C. Hyland

doi:10.1117/12.552466

16 September 2004 Design of minimum time maneuvers for multispacecraft interferometric imaging systems

Suman Chakravorty, Pierre T. Kabamba, David C. Hyland

Proceedings Volume 5497, Modeling and Systems Engineering for Astronomy; (2004) https://doi.org/10.1117/12.552466
Event: SPIE Astronomical Telescopes + Instrumentation, 2004, Glasgow, United Kingdom

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 maintaining a minimum thickness of paint. 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 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.

Citation Download Citation

Suman Chakravorty, Pierre T. Kabamba, and David C. Hyland "Design of minimum time maneuvers for multispacecraft interferometric imaging systems", Proc. SPIE 5497, Modeling and Systems Engineering for Astronomy, (16 September 2004); https://doi.org/10.1117/12.552466

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