Extension of the Density Approach for Debris Cloud Propagation

Abstract

No AccessEngineering NoteExtension of the Density Approach for Debris Cloud PropagationFrancesca LetiziaFrancesca LetiziaUniversity of Southampton, Southampton, England SO17 B1J, United Kingdom*Research Fellow, Astronautics Research Group, University Road; currently Space Debris Engineer at ESA/ESOC for IMS Space Consultancy GmbH; .Search for more papers by this authorPublished Online:20 Sep 2018https://doi.org/10.2514/1.G003675SectionsRead Now ToolsAdd to favoritesDownload citationTrack citations ShareShare onFacebookTwitterLinked InRedditEmail About References [1] Nazarenko A., “The Development of the Statistical Theory of a Satellite Ensemble Motion and Its Application to Space Debris Modeling,” Proceedings of the 2nd European Conference on Space Debris, ESA Publ. Division, ESA SP-393, The Netherlands, 1997, pp. 233–238. Google Scholar[2] Rossi A., Anselmo L., Cordelli A., Farinella P. and Pardini C., “Modelling the Evolution of the Space Debris Population,” Planetary and Space Science, Vol. 46, Nos. 11–12, Nov. 1998, pp. 1583–1596. doi:https://doi.org/10.1016/S0032-0633(98)00070-1 PLSSAEPLSSAE 0032-0633 CrossrefGoogle Scholar[3] Smirnov N. N., Nazarenko A. I. and Kiselev A. B., “Modelling of the Space Debris Evolution Based on Continua Mechanics,” Proceedings of the 3rd European Conference on Space Debris, ESA Publications Division, ESA SP-473, The Netherlands, 2001, pp. 391–396. Google Scholar[4] Izzo D. and Valente C., “A Mathematical Model Representing the Statistical Properties of Sets of Orbits,” Acta Astronautica, Vol. 54, No. 8, April 2004, pp. 541–546. doi:https://doi.org/10.1016/S0094-5765(03)00224-8 AASTCFAASTCF 0094-5765 CrossrefGoogle Scholar[5] Letizia F., Colombo C. and Lewis H. G., “Analytical Model for the Propagation of Small Debris Objects Clouds After Fragmentations,” Journal of Guidance, Control, and Dynamics, Vol. 38, No. 8, 2015, pp. 1478–1491. doi:https://doi.org/10.2514/1.G000695 JGCODSJGCODS 0731-5090 LinkGoogle Scholar[6] Letizia F., Colombo C. and Lewis H. G., “Multidimensional Extension of the Continuity Equation Method for Debris Clouds Evolution,” Advances in Space Research, Vol. 57, No. 8, 2015, pp. 624–1640. doi:https://doi.org/10.1016/j.asr.2015.11.035 ASRSDWASRSDW 0273-1177 Google Scholar[7] Letizia F., Colombo C. and Lewis H. G., “Collision Probability due to Space Debris Clouds Through a Continuum Approach,” Journal of Guidance, Control, and Dynamics, Vol. 39, No. 10, 2016, pp. 2240–2249. doi:https://doi.org/10.2514/1.G001382 JGCODSJGCODS 0731-5090 LinkGoogle Scholar[8] Blitzer L., Handbook of Orbital Perturbations, Lecture Notes, Univ. of Arizona, 1970. Google Scholar[9] King-Hele D., “Orbital Theory for a Spherically Symmetrical Exponential Atmosphere,” Satellite Orbits in an Atmosphere: Theory and Application, Blackie, Glasgow, Scotland, U.K., 1987, pp. 44–75, Chap. 4. Google Scholar[10] Ferziger J. and Peric M., Computational Methods for Fluid Dynamics, Springer, Berlin, 2001, pp. 143–148. Google Scholar[11] Letizia F., Colombo C., Lewis H. G. and Krag H., “Assessment of Breakup Severity on Operational Satellites,” Advances in Space Research, Vol. 58, No. 7, 2016, pp. 1255–1274. doi:https://doi.org/10.1016/j.asr.2016.05.036 ASRSDWASRSDW 0273-1177 CrossrefGoogle Scholar[12] Letizia F., Colombo C., Lewis H. G. and Krag H., “Extending the ECOB Debris Index with Fragmentation Risk Estimation,” Proceedings of the 7th European Space Debris Conference, ESA, April 2017. Google Scholar Previous article Next article FiguresReferencesRelatedDetailsCited byImpact Risk of a Debris Cloud to SpacecraftPeng Shu , Zhen Yang and Ya-zhong Luo1 February 2023 | Journal of Guidance, Control, and Dynamics, Vol. 0, No. 0Collision Probability of Debris Clouds Based on Higher-Order Boundary Value ProblemsPeng Shu, Zhen Yang , Ya-zhong Luo and Zhen-Jiang Sun17 March 2022 | Journal of Guidance, Control, and Dynamics, Vol. 45, No. 8Analytical Propagation of Space Debris Density for Collisions near Sun-Synchronous OrbitsSpace: Science & Technology, Vol. 2022Propagation and Reconstruction of Reentry Uncertainties Using Continuity Equation and Simplicial InterpolationMirko Trisolini and Camilla Colombo20 January 2021 | Journal of Guidance, Control, and Dynamics, Vol. 44, No. 4Transformation of Satellite Breakup Distribution for Probabilistic Orbital Collision Hazard AnalysisStefan Frey and Camilla Colombo11 September 2020 | Journal of Guidance, Control, and Dynamics, Vol. 44, No. 1Debris cloud of India anti-satellite test to Microsat-R satelliteHeliyon, Vol. 6, No. 8Study of collision probability considering a non-uniform cloud of space debris12 November 2019 | Computational and Applied Mathematics, Vol. 39, No. 1Application of a debris index for global evaluation of mitigation strategiesActa Astronautica, Vol. 161 What's Popular Volume 41, Number 12December 2018 CrossmarkInformationCopyright © 2018 by Francesca Letizia. Published by the American Institute of Aeronautics and Astronautics, Inc., with permission. All requests for copying and permission to reprint should be submitted to CCC at www.copyright.com; employ the ISSN 0731-5090 (print) or 1533-3884 (online) to initiate your request. See also AIAA Rights and Permissions www.aiaa.org/randp. TopicsAstronomical EventsAstronomyCelestial Coordinate SystemCelestial MechanicsComputational Fluid DynamicsEquations of Fluid DynamicsFinite Difference MethodFluid DynamicsPlanetary Science and ExplorationPlanetsSolar PhysicsSpace MissionsSpace Science and Technology KeywordsFinite Difference MethodSolar RadiationAtmospheric DragEarthContinuity EquationSpace DebrisOrbital PeriodBessel FunctionsSatellitesEclipsesAcknowledgmentsThe author acknowledges the support from the EPSRC Doctoral Training Partnership at the University of Southampton, grant EP/M508147/1. The author thanks J. Van den Eynde for his advice on the implementation of finite difference and finite volume methods.PDF Received12 March 2018Accepted12 July 2018Published online20 September 2018