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Robust Parameter Estimation for Identifying Satellite Injection Orbits

In: Modeling, Simulation and Optimization of Complex Processes

Author

Listed:
  • 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)

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.

Suggested Citation

  • Hans Georg Bock & Ekaterina Kostina & Johannes P. Schlöder & Gottlob Gienger & Siegmar Pallaschke & Gerald Ziegler, 2005. "Robust Parameter Estimation for Identifying Satellite Injection Orbits," Springer Books, in: Hans Georg Bock & Hoang Xuan Phu & Ekaterina Kostina & Rolf Rannacher (ed.), Modeling, Simulation and Optimization of Complex Processes, pages 37-46, Springer.
    • Handle: RePEc:spr:sprchp:978-3-540-27170-3_3
    DOI: 10.1007/3-540-27170-8_3
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