Analytical Model for the Propagation of Small-Debris-Object Clouds After Fragmentations
Current debris evolutionary models usually neglect fragments smaller than 10 cm because of the high computational effort they add to the simulation. However, small-debris objects can also be dangerous to operational satellites. This work proposes an analytical approach to describe the evolution of a...
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Veröffentlicht in: | Journal of guidance, control, and dynamics control, and dynamics, 2015-08, Vol.38 (8), p.1478-1491 |
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creator | Letizia, Francesca Colombo, Camilla Lewis, Hugh G |
description | Current debris evolutionary models usually neglect fragments smaller than 10 cm because of the high computational effort they add to the simulation. However, small-debris objects can also be dangerous to operational satellites. This work proposes an analytical approach to describe the evolution of a cloud of small fragments generated by a collision in low Earth orbit. The proposed approach considers the cloud globally and derives its evolution analytically, in terms of the change in the spatial density under the effect of atmospheric drag. As a result, the analytical approach allows the representation of small fragments and noticeably reduces the computational time under 10% compared to the numerical propagation of all the fragment trajectories. For altitudes above 800 km, the relative error compared to the numerical method is lower than 10%. |
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However, small-debris objects can also be dangerous to operational satellites. This work proposes an analytical approach to describe the evolution of a cloud of small fragments generated by a collision in low Earth orbit. The proposed approach considers the cloud globally and derives its evolution analytically, in terms of the change in the spatial density under the effect of atmospheric drag. As a result, the analytical approach allows the representation of small fragments and noticeably reduces the computational time under 10% compared to the numerical propagation of all the fragment trajectories. For altitudes above 800 km, the relative error compared to the numerical method is lower than 10%.</description><identifier>ISSN: 0731-5090</identifier><identifier>EISSN: 1533-3884</identifier><identifier>DOI: 10.2514/1.G000695</identifier><language>eng</language><publisher>Reston: American Institute of Aeronautics and Astronautics</publisher><subject>Altitude ; Atmospheric models ; Clouds ; Computation ; Computing time ; Density ; Drag ; Evolution ; Evolutionary ; Fragments ; Low earth orbits ; Mathematical analysis ; Mathematical models ; Normal distribution ; Numerical analysis ; Numerical methods ; Population ; Propagation ; Satellites ; Simulation ; Space debris ; Spatial analysis ; Velocity</subject><ispartof>Journal of guidance, control, and dynamics, 2015-08, Vol.38 (8), p.1478-1491</ispartof><rights>Copyright © 2014 by Francesca Letizia, Camilla Colombo and Hugh G. Lewis. Published by the American Institute of Aeronautics, and Astronautics, Inc., with permission. Copies of this paper may be made for personal or internal use, on condition that the copier pay the $10.00 per-copy fee to the Copyright Clearance Center, Inc., 222 Rosewood Drive, Danvers, MA 01923; include the code 1533-3884/15 and $10.00 in correspondence with the CCC.</rights><lds50>peer_reviewed</lds50><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c353t-68cb7785a593326220588e4a1e50a59c529ae5794476346be955596bf52ad9d83</citedby><cites>FETCH-LOGICAL-c353t-68cb7785a593326220588e4a1e50a59c529ae5794476346be955596bf52ad9d83</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>314,780,784,27924,27925</link.rule.ids></links><search><creatorcontrib>Letizia, Francesca</creatorcontrib><creatorcontrib>Colombo, Camilla</creatorcontrib><creatorcontrib>Lewis, Hugh G</creatorcontrib><title>Analytical Model for the Propagation of Small-Debris-Object Clouds After Fragmentations</title><title>Journal of guidance, control, and dynamics</title><description>Current debris evolutionary models usually neglect fragments smaller than 10 cm because of the high computational effort they add to the simulation. 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For altitudes above 800 km, the relative error compared to the numerical method is lower than 10%.</description><subject>Altitude</subject><subject>Atmospheric models</subject><subject>Clouds</subject><subject>Computation</subject><subject>Computing time</subject><subject>Density</subject><subject>Drag</subject><subject>Evolution</subject><subject>Evolutionary</subject><subject>Fragments</subject><subject>Low earth orbits</subject><subject>Mathematical analysis</subject><subject>Mathematical models</subject><subject>Normal distribution</subject><subject>Numerical analysis</subject><subject>Numerical methods</subject><subject>Population</subject><subject>Propagation</subject><subject>Satellites</subject><subject>Simulation</subject><subject>Space debris</subject><subject>Spatial analysis</subject><subject>Velocity</subject><issn>0731-5090</issn><issn>1533-3884</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2015</creationdate><recordtype>article</recordtype><recordid>eNp90U1LAzEQBuAgCtbqwX8Q8KKHrckmk49jqbYKlQoqHpfsbrZuSTc1yR76712tJw-eBobnHRhehC4pmeRA-S2dLAghQsMRGlFgLGNK8WM0IpLRDIgmp-gsxg0hlAkqR-h92hm3T21lHH7ytXW48QGnD4ufg9-ZtUmt77Bv8MvWOJfd2TK0MVuVG1slPHO-ryOeNskGPA9mvbVd-knEc3TSGBftxe8co7f5_evsIVuuFo-z6TKrGLCUCVWVUiowoBnLRZ4TUMpyQy2QYVdBro0FqTmXgnFRWg0AWpQN5KbWtWJjdH24uwv-s7cxFds2VtY501nfx4JKqjSTQsBAr_7Qje_D8H4scq65BC0Z-U9RoQXhioAY1M1BVcHHGGxT7EK7NWFfUFJ8F1HQ4rcI9gX9zHc3</recordid><startdate>20150801</startdate><enddate>20150801</enddate><creator>Letizia, Francesca</creator><creator>Colombo, Camilla</creator><creator>Lewis, Hugh G</creator><general>American Institute of Aeronautics and Astronautics</general><scope>AAYXX</scope><scope>CITATION</scope><scope>7SC</scope><scope>7SP</scope><scope>7TB</scope><scope>8FD</scope><scope>FR3</scope><scope>H8D</scope><scope>JQ2</scope><scope>L7M</scope><scope>L~C</scope><scope>L~D</scope></search><sort><creationdate>20150801</creationdate><title>Analytical Model for the Propagation of Small-Debris-Object Clouds After Fragmentations</title><author>Letizia, Francesca ; Colombo, Camilla ; Lewis, Hugh G</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c353t-68cb7785a593326220588e4a1e50a59c529ae5794476346be955596bf52ad9d83</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2015</creationdate><topic>Altitude</topic><topic>Atmospheric models</topic><topic>Clouds</topic><topic>Computation</topic><topic>Computing time</topic><topic>Density</topic><topic>Drag</topic><topic>Evolution</topic><topic>Evolutionary</topic><topic>Fragments</topic><topic>Low earth orbits</topic><topic>Mathematical analysis</topic><topic>Mathematical models</topic><topic>Normal distribution</topic><topic>Numerical analysis</topic><topic>Numerical methods</topic><topic>Population</topic><topic>Propagation</topic><topic>Satellites</topic><topic>Simulation</topic><topic>Space debris</topic><topic>Spatial analysis</topic><topic>Velocity</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Letizia, Francesca</creatorcontrib><creatorcontrib>Colombo, Camilla</creatorcontrib><creatorcontrib>Lewis, Hugh G</creatorcontrib><collection>CrossRef</collection><collection>Computer and Information Systems Abstracts</collection><collection>Electronics & Communications Abstracts</collection><collection>Mechanical & Transportation Engineering Abstracts</collection><collection>Technology Research Database</collection><collection>Engineering Research Database</collection><collection>Aerospace Database</collection><collection>ProQuest Computer Science Collection</collection><collection>Advanced Technologies Database with Aerospace</collection><collection>Computer and Information Systems Abstracts Academic</collection><collection>Computer and Information Systems Abstracts Professional</collection><jtitle>Journal of guidance, control, and dynamics</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Letizia, Francesca</au><au>Colombo, Camilla</au><au>Lewis, Hugh G</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Analytical Model for the Propagation of Small-Debris-Object Clouds After Fragmentations</atitle><jtitle>Journal of guidance, control, and dynamics</jtitle><date>2015-08-01</date><risdate>2015</risdate><volume>38</volume><issue>8</issue><spage>1478</spage><epage>1491</epage><pages>1478-1491</pages><issn>0731-5090</issn><eissn>1533-3884</eissn><abstract>Current debris evolutionary models usually neglect fragments smaller than 10 cm because of the high computational effort they add to the simulation. 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subjects | Altitude Atmospheric models Clouds Computation Computing time Density Drag Evolution Evolutionary Fragments Low earth orbits Mathematical analysis Mathematical models Normal distribution Numerical analysis Numerical methods Population Propagation Satellites Simulation Space debris Spatial analysis Velocity |
title | Analytical Model for the Propagation of Small-Debris-Object Clouds After Fragmentations |
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