Abstract
Formula for the cumulative mass distribution of fragments of disrupted body, obtained as function of fragment mass, mass fraction of the largest fragment(s), number of largest fragments, and power index, is used to describe mass distribution of recovered meteorites for eight meteorite showers.
1. Introduction
To model independent motion and ablation of meteoroid fragments it is necessary to know their mass distribution. In this regard, an analogy can be drawn with impact experiments on high-velocity collisions, which were performed to simulate asteroid destruction. In many experiments [1, 2, and others] it was noted that cumulative mass distribution curve is well described by a power law. This is usually represented as cumulative number of fragments with masses larger than or equal to m is proportional to the power of m. This correlation between cumulative number of fragments and mass gives a linear plot in log–log coordinates with power index slope. It was also noted that whole mass distribution curve usually cannot be well represented by a single exponent in the power law and is divided into two or three segments with a steeper slope for larger fragments.
Here, the power law is used not for cumulative mass distribution, but for distribution of probability density. In this case, cumulative distribution is not a linear function of mass in log–log coordinates and enables to adequately describe results of impact experiments by single curve, i.e. using single exponent. We compare the proposed cumulative distribution with mass distributions of meteorites when a large number was collected.
Earlier, the power law distribution in discrete form was used for the grain mass distribution in studies of small meteoroids [3, 4, and others]. Different approaches were suggested to approximate mass distribution of found meteorites [5–7, and others].
2. Probability and cumulative distributions
We assume the power law for probability density function nm:
nm = Dm-β-1, nm = –dNm/dm. (1)
Here m is fragment mass, Nm is cumulative number of fragments with masses larger than or equal to m; exponent β is constant. Normalizing coefficient D is found using the equation of conservation of the total mass of fragments M (mass of the meteoroid just before breakup, mass of the target in experiments). Then probability density nm has a form (β < 1)
nm = M(1-β)/(ml1-β)m-β-1 . (2)
Here ml is mass of the largest fragment. Cumulative number of fragments Nm is found by integration of the second equation (1)
Nm = (1-β)/(βl1-β){(m/M)-β-l-β}+c. (3)
Here c is the number of largest fragments, l = ml/M is mass fraction of the largest fragment. Probability density nm (2) can be used to model meteoroid fragmentation; the total mass and energy deposition can be found by integration over all fragment initial masses.
3. Meteorite distributions
We test formula (3) by comparing with mass distributions of recovered meteorites for eight meteorite showers: Tsarev, Sikhote-Alin, Mbale, Bassikounou, Almahata Sitta, Košice, Sutter’s Mill, and Chelyabinsk. Comparisons show that formula (3) satisfactory describes meteorite mass distribution in cases of uniform change of fragment masses without gaps. The example of such distribution is shown in Figure 1. Asteroid 2008 TC3 entered the Earth’s atmosphere on October 7, 2008 and fragmented over the Nubian Desert in Northern Sudan; more than 662 meteorites were recovered, named Almahata Sitta [8]. We used data from tables [8] to construct the cumulative mass distribution of meteorites.
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)
Figure 1: Almahata Sitta meteorites. Violet dots: data from catalog [8], red and green lines: formula (3) at β = 0.67 and 0.6; 662 fragments, M = 10.55 kg, ml = 0.379 kg.
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)
Figure 2: Sutter’s Mill meteorites. Violet dots: data from table [9], red line: formula (3) at β = 0.5; 77 fragments, M = 942.7 g, ml= 204.6 g.
In cases where the largest fragment(s) is several times larger than the next one, formula (3) satisfactory describes meteorite mass distribution starting from the second one. Figure 2 shows the cumulative mass distribution of Sutter’s Mill (fall on April 22, 2012) meteorites, where mass of the largest fragment is almost 5 times that of the second. To construct the meteorites distribution we used data from table [9].
4. Summary and Conclusions
Formula (3) adequately describes cumulative distribution of recovered meteorites for considered meteorite showes. Difference between analytical and empirical distributions at very small masses is natural and should be, because, unlike laboratory experiments, it is problematic to find most small particles. Preliminary estimate of the most probable range of exponent β for meteorite distributions is from 0.5 to 0.7; further research is needed to determine more accurately the range of possible β values that could be used in probability density distribution for modelling meteoroid fragmentation.
Acknowledgements
This work was performed according to the plan of Institute of Mechanics of Lomonosov Moscow State University and was partially funded by Russian Foundation for Basic Research, grant 18-01-00740.
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