Astronomy and Astrophysics – Astronomy
Scientific paper
Sep 2004
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2004spie.5497..427c&link_type=abstract
Modeling and Systems Engineering for Astronomy. Edited by Craig, Simon C.; Cullum, Martin J. Proceedings of the SPIE, Volume 549
Astronomy and Astrophysics
Astronomy
Scientific paper
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.
Chakravorty Suman
Hyland David C.
Kabamba Pierre T.
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