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
Hauptverfasser: Letizia, Francesca, Colombo, Camilla, Lewis, Hugh G
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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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1533-3884
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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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