2016
DOI: 10.1016/j.asr.2015.11.035
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Multidimensional extension of the continuity equation method for debris clouds evolution

Abstract: As the debris spatial density increases due to recent collisions and inoperative spacecraft, the probability of collisions in space grows. Even a collision involving small objects may produce thousands of fragments due to the high orbital velocity and the high energy released. The propagation of the trajectories of all the objects produced by a breakup would be prohibitive in terms of computational time; therefore, simplified models are needed to describe the consequences of a collision with a reasonable compu… Show more

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Cited by 22 publications
(30 citation statements)
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“…Colombo [10], and debris by Letizia et al [11]. However the smart dust devices considered in this paper are assumed to be actively controlled through modulation of their lightness number  and pitch angle  defined by Eq.…”
Section: Control Strategies For the Evolution Of Swarm Densitymentioning
confidence: 99%
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“…Colombo [10], and debris by Letizia et al [11]. However the smart dust devices considered in this paper are assumed to be actively controlled through modulation of their lightness number  and pitch angle  defined by Eq.…”
Section: Control Strategies For the Evolution Of Swarm Densitymentioning
confidence: 99%
“…Similar to modelling the evolution of interplanetary dust [7,8], nano-satellite constellations [9] and high area-to-mass spacecraft [12,13], the continuum evolution of the swarm can be obtained from a continuity equation linking the swarm density and the velocity vector field of the flow of 'smart dust' devices, as [11]   -n n n t…”
Section: Continuum Evolution Model Of Swarm Densitymentioning
confidence: 99%
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“…In principle, the resulting density peaks could provide enhanced coverage [2]. Letizia et al [12] summarized applications of the continuity equation approach, including interplanetary dust [9], nanosatellites [11] and high area-to-mass SpaceChips [13] and developed a standard procedure for the analytic solution to the continuity equation in orbital element space. McInnes [14] studied the evolution of the density of swarms of self-propelled devices in heliocentric orbit with closed-form solutions developed analytically for several scenarios, such as the evolution of an infinite sheet or a finite disk, with on-orbit failures, and with the constant disposition of new devices at one boundary.…”
Section: Introductionmentioning
confidence: 99%