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Rigorous Global Optimization for Collision Risk Assessment on Perturbed Orbits

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Book cover Space Engineering

Part of the book series: Springer Optimization and Its Applications ((SOIA,volume 114))

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Abstract

In this chapter, a method to assess the occurrence of impacts between objects (either spacecraft or space debris) orbiting around the Earth is presented. The method is based on the computation of the minimum distance between two evolving orbits by means of a rigorous global optimizer. Analytical solutions of artificial satellite motion are utilized to account for perturbative effects of Earth’s zonal harmonics, atmospheric drag, and third body. It is shown that the method can effectively compute the intersection between perturbed orbits and hence identify pairs of space objects on potentially colliding orbits. Test cases considering sun-synchronous, low perigee and earth-synchronous orbits are presented to assess the performances of the method.

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Notes

  1. 1.

    http://www.space-track.org.

  2. 2.

    http://www.celestrack.org.

  3. 3.

    The computational time can indeed be reduced almost linearly performing parallel computation on many processors as COSY-GO has a fully parallel implementation.

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Author information

Authors and Affiliations

  1. European Space Agency, European Space Operations Centre, Robert-Bosch-Straße 5, 64293, Darmstadt, Germany

    Alessandro Morselli

  2. Departamento de Matemáticas y Computación, Universidad de La Rioja, C/Luis de Ulloa s/n, 26004, Logroño, Spain

    Roberto Armellin

  3. Department of Aerospace Science and Technology, Politecnico di Milano, Via La Masa 34, 20156, Milano, Italy

    Pierluigi Di Lizia & Franco Bernelli-Zazzera

Authors
  1. Alessandro Morselli
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  2. Roberto Armellin
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  3. Pierluigi Di Lizia
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  4. Franco Bernelli-Zazzera
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Corresponding author

Correspondence to Alessandro Morselli .

Editor information

Editors and Affiliations

  1. Exploration and Science Thales Alenia Space, Turin, Italy

    Giorgio Fasano

  2. PCS Inc., Halifax, NS, Canada

    János D. Pintér

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Morselli, A., Armellin, R., Di Lizia, P., Bernelli-Zazzera, F. (2016). Rigorous Global Optimization for Collision Risk Assessment on Perturbed Orbits. In: Fasano, G., Pintér, J.D. (eds) Space Engineering. Springer Optimization and Its Applications, vol 114. Springer, Cham. https://doi.org/10.1007/978-3-319-41508-6_9

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