Robust Parameter Estimation for Identifying Satellite Injection Orbits

Hans Georg Bock (), Ekaterina Kostina, Johannes P. Schlöder, Gottlob Gienger (), Siegmar Pallaschke and Gerald Ziegler
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Hans Georg Bock: University of Heidelberg, Interdisciplinary Center for Scientific Computing
Ekaterina Kostina: University of Heidelberg, Interdisciplinary Center for Scientific Computing
Johannes P. Schlöder: University of Heidelberg, Interdisciplinary Center for Scientific Computing
Gottlob Gienger: European Space Agency (ESA), D-64293
Siegmar Pallaschke: European Space Agency (ESA), D-64293
Gerald Ziegler: European Space Agency (ESA), D-64293

A chapter in Modeling, Simulation and Optimization of Complex Processes, 2005, pp 37-46 from Springer

Abstract: Summary Satellite tracking data typically consist of range, range rates, azimuth or elevation angles. The measurement times are usually clustered, not all states are measured and outliers may occur due to measurement errors. Moreover, range measurements are subject to ambiguities. Due to the fact that the actual injection orbit of a satellite may significantly deviate from the planned one, e.g. if the launcher exhibits under-performance or malfunction, a fast and reliable the determination of initial orbits using the available data is particularly important. Based on practical problems provided by European Space Agency (ESA) the paper first gives a mathematical formulation of orbit determination problems. An l1 objective function is chosen in order to reduce the influence of outliers. For the numerical treatment of orbit determination problems shooting strategies for estimation problems in nonlinear differential equations are described. Emphasis is put on the efficient treatment of the resulting large-scale nonlinear constrained weighted l1 optimization problem. The performance of the resulting codes is demonstrated using tracking data from ESA's Artemis mission.

Keywords: Estimation Problem; Range Measurement; Elevation Angle; Range Rate; Nonlinear Differential Equation (search for similar items in EconPapers)
Date: 2005
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DOI: 10.1007/3-540-27170-8_3

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