Rigorous Global Optimization for Collision Risk Assessment on Perturbed Orbits

Alessandro Morselli (), Roberto Armellin (), Pierluigi Lizia () and Franco Bernelli-Zazzera ()
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Alessandro Morselli: European Space Agency, European Space Operations Centre
Roberto Armellin: Universidad de La Rioja
Pierluigi Lizia: Politecnico di Milano
Franco Bernelli-Zazzera: Politecnico di Milano

A chapter in Space Engineering, 2016, pp 237-267 from Springer

Abstract: 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.

Keywords: Minimum orbit intersection distance; Space debris; Taylor models; Global optimization; Orbital perturbations (search for similar items in EconPapers)
Date: 2016
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Persistent link: https://EconPapers.repec.org/RePEc:spr:spochp:978-3-319-41508-6_9

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DOI: 10.1007/978-3-319-41508-6_9

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