Multi-spacecraft interferometry imaging is an innovative concept intended to
apply formations of satellites to obtain high resolution images allowing for the synthesis
of a large size aperture through the combination of the signal from several
sub-apertures. The design of such systems requires the design of trajectories that
cover a specified region of the observation plane to obtain appropriate information to
reconstruct an image of the source. A proposed configuration consists of symmetrical
formations which use control thrust to actively follow spiral trajectories that would
appropriately cover the specified regions. An optimization problem has to be solved
to design the optimal trajectories with minimum fuel consumption. The present
work introduces an algorithm to obtain near optimal maneuvers for multi-spacecraft
interferometric imaging systems. Solutions to the optimization problem are obtained
assuming the optimality of spiral coverage of the spatial frequency plane. The relationship
between the error in the frequency content and the reliability of the image
is studied to make a connection to the dynamics of the maneuver and define the parameters
of the optimization problem. The solution to the problem under deep space
dynamics is shown to be convex and is solved by discretization into a non-linear programing
problem. Further, the problem is extended to include the effects of dynamical
constraints and the effect of time varying relative position from the imaging system to the target. For the calculation of the optimal trajectories, a two-stage hierarchical
controller is proposed that obtains acceleration requirements of near minimum fuel
maneuvers for different target-system configurations. Several cases are simulated to
apply the algorithm. From the obtained results some conclusions about the feasibility
and dynamical requirements of these systems are described.
| Identifer | oai:union.ndltd.org:tamu.edu/oai:repository.tamu.edu:1969.1/4199 |
| Date | 30 October 2006 |
| Creators | Ramirez Riberos, Jaime Luis |
| Contributors | Chakravorty, Suman |
| Publisher | Texas A&M University |
| Source Sets | Texas A and M University |
| Language | en_US |
| Detected Language | English |
| Type | Electronic Thesis, text |
| Format | 5675803 bytes, electronic, application/pdf, born digital |
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