Rosin's law and size distribution of particles in regolith like samples—an analysis

Deb, D.; Sen, A. K.

doi:10.1016/j.pss.2013.03.014

Cited by 7 publications

(7 citation statements)

References 19 publications

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“…But this is difficult to understand in light of the relatively low average impact velocities expected on their surface (Basilevsky et al, 2015). The idea that extensive regrinding experienced in a hypervelocity impact leads to a power law SFD with a large exponent (Hartmann, 1969) is not supported by grinding experiments, which typically result in a Weibull distribution (Deb & Sen, 2013; Martin & Mills, 1977; Rosin & Rammler, 1933). Furthermore, Brown (1989) and Brown and Wohletz (1995) theorized that a power law distribution results from a single fragmentation event, whereas sequential fragmentation (i.e., regrinding) results in a Weibull distribution.…”

Section: Resultsmentioning

confidence: 99%

The Boulder Population of Asteroid 4 Vesta: Size‐Frequency Distribution and Survival Time

Schröder

Carsenty

Hauber

et al. 2021

Earth and Space Science

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Dawn's framing camera observed boulders on the surface of Vesta when the spacecraftwas in its lowest orbit (Low Altitude Mapping Orbit, LAMO). We identified, measured, and mapped boulders in LAMO images, which have a scale of 20 m per pixel. We estimate that our sample is virtually complete down to a boulder size of 4 pixels (80 m). The largest boulder is a 400 m‐sized block on the Marcia crater floor. Relatively few boulders reside in a large area of relatively low albedo, surmised to be the carbon‐rich ejecta of the Veneneia basin, either because boulders form less easily here or live shorter. By comparing the density of boulders around craters with a known age, we find that the maximum boulder lifetime is about 300 Ma. The boulder size‐frequency distribution (SFD) is generally assumed to follow a power law. We fit power laws to the Vesta SFD by means of the maximum likelihood method, but they do not fit well. Our analysis of power law exponents for boulders on other small Solar System bodies suggests that the derived exponent is primarily a function of boulder size range. The Weibull distribution mimics this behavior and fits the Vesta boulder SFD well. The Weibull distribution is often encountered in rock grinding experiments and may result from the fractal nature of cracks propagating in the rock interior. We propose that, in general, the SFD of particles (including boulders) on the surface of small bodies follows a Weibull distribution rather than a power law.

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Section: Resultsmentioning

confidence: 99%

The Boulder Population of Asteroid 4 Vesta: Size‐Frequency Distribution and Survival Time

Schröder

Carsenty

Hauber

et al. 2021

Earth and Space Science

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“…The size distribution of weathered crystalline rocks such as granites, which have undergone brittle disintegration, has also been found to be approximated by Rosin's (exponential) law (Krumbein & Tisdel, ; McEwen et al., ). Crushed materials and those undergoing mechanical disintegration such as scree, regolith (including on moons and other planets), pyroclastic material and subglacial tills have also been described by the Rosin law (Kittleman, ; Ibbeken, ; Deb & Sen, ). and the closely related Weibull distribution.…”

Section: Introductionmentioning

confidence: 99%

Fractionation of grain size in terrestrial sediment routing systems

et al. 2016

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Sediment is fractionated by size during its cascade from source to sink in sediment routing systems. It is anticipated, therefore, that the grain size distribution of sediment will undergo downsystem changes as a result of fluvial sorting processes and selective deposition. We assess this hypothesis by comparing grain size statistical properties of samples from within the erosional source region with those southcentral Pyrenees, the lognormal and truncated Pareto models provide excellent fits for distances of up to 80 km from the depositional apex, whereas the Weibull fit progressively worsens with increasing transport distance. A similar trend is found in the Miocene-Pliocene gravels of the Nebraskan Great Plains over a distance of >300 km. Despite the large fractionation in mean grain size and gravel percentage from source region to depositional sink, particle size distributions therefore appear to maintain lognormality over a wide range of transport distance. Use of statistical models enables downsystem fractionation of sediment released from source regions to be better understood and predicted and is a potentially valuable tool in sourcetosink approaches to basin analysis.

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“…A range of experiments have been performed to determine the effect of hypervelocity impact comminution on meteorites. At larger scales, the size distribution of asteroidal regolith particles is expected to follow Rosin's Law (e.g., Deb & Sen, 2013), a relationship typically observed when materials are crushed. However, impact experiments with meteorites at smaller (microns to millimeters) scales, at which different strength regimes lie, indicate that chemical and mineralogical size segregation may occur.…”

Section: Discussionmentioning

confidence: 99%

Linking meteorites to their asteroid parent bodies: The capabilities of dust analyzer instruments during asteroid flybys

Eckart,

Hillier,

Postberg

et al. 2023

Meteorit & Planetary Scien

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Linking meteorites to their asteroid parent bodies remains an outstanding issue. Space‐based dust characterization using impact ionization mass spectrometry is a proven technique for the compositional analysis of individual cosmic dust grains. Here we investigate the feasibility of determining asteroid compositions via cation mass spectrometric analyses of their dust ejecta clouds during low (7–9 km s−1) velocity spacecraft flybys. At these speeds, the dust grain mass spectra are dominated by easily ionized elements and molecular species. Using known bulk mineral volume abundances, we show that it is feasible to discriminate the common meteorite classes of carbonaceous chondrites, ordinary chondrites, and howardite–eucrite–diogenite achondrites, as well as their subtypes, relying solely on the detection of elements with ionization efficiencies of ≤700 or ≤800 kJ mol−1, applicable to low (~7 km s−1) and intermediate (~9 km s−1) flyby speed scenarios, respectively. Including the detection of water ion groups enables greater discrimination between certain meteorite types, and flyby speeds ≥10 km s−1 enhance the diagnostic capabilities of this technique still further. Although additional terrestrial calibration is required, this technique may allow more unequivocal asteroid‐meteorite connections to be determined by spacecraft flybys, emphasizing the utility of dust instruments on future asteroid missions.

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Rosin's law and size distribution of particles in regolith like samples—an analysis

Cited by 7 publications

References 19 publications

The Boulder Population of Asteroid 4 Vesta: Size‐Frequency Distribution and Survival Time

The Boulder Population of Asteroid 4 Vesta: Size‐Frequency Distribution and Survival Time

Fractionation of grain size in terrestrial sediment routing systems

Linking meteorites to their asteroid parent bodies: The capabilities of dust analyzer instruments during asteroid flybys

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