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Volume 53 Supplement 11

Special Issue: Asteroidal Surfaces and Genesis of Meteorites

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Power-law indices of asteroidal grooves and strength

Earth, Planets and Space volume 53, pages 1065–1069 (2001)Cite this article

Abstract

The strength of an asteroid is a valuable parameter, but it is difficult to measure directly. Although impact experiments have made a large contribution, the problem of the relationship between an asteroid’s size and its strength has not been solved. This paper introduces a valuable parameter for natural bodies, the power-law index ϕ of the size distribution of fracture planes []. This index can be regarded as parameterizing the strength, because strength is controlled by the size of the largest fracture. The power-law indices ϕ of the Martian satellite Phobos and the asteroid Gaspra were found to be 5.9 and 6.5, respectively. These values are close to 6, which is the theoretical value expected for the “fully cracked” condition of Housen and Holsapple (1999). The implications of this result for the size-strength relationship of asteroids are discussed.

References

  • Fujiwara, A. and N. Asada, Impact fracture patterns on Phobos ellipsoids, Icarus, 56, 590–602, 1983.

    Article  Google Scholar 

  • Griffith, A. A., The phenomena of rupture and flow in solids, Philosophical Transaction Royal Society of London Series A, 34, 137–154, 1920.

    Google Scholar 

  • Housen, K. R., Laboratory simulations of large-scale fragmentation events, Icarus, 94, 180–190, 1991.

    Article  Google Scholar 

  • Housen, K. R. and K. A. Holsapple, On the fragmentation of asteroids and planetary satellites, Icarus, 84, 226–253, 1990.

    Article  Google Scholar 

  • Housen, K. R. and K. A. Holsapple, Scale effects in strength-dominated collisions of rocky asteroids, Icarus, 142, 21–33, 1999.

    Article  Google Scholar 

  • Kawakami, S. et al., An experimental study of impact fracturing of small planetary bodies in the solar system with an application to Phobos, Astronomy and Astrophysics, 241, 233–242, 1991.

    Google Scholar 

  • Pickering, G. et al., Sampling power-law distributions, Tectonophys., 248, 1–20, 1995.

    Article  Google Scholar 

  • Simonelli, D. P. et al., The generation and use of numerical shape models for irregular Solar System objects, Icarus, 103, 49–61, 1993.

    Article  Google Scholar 

  • Soter, S. and A. Harris, Are striations on Phobos evidence for tidal stress?, Nature, 268, 421–422, 1977.

    Article  Google Scholar 

  • Sullivan, R. et al., Geology of 243 Ida, Icarus, 120, 119–139, 1996.

    Article  Google Scholar 

  • Thomas, P. C., Gravity, tides, and topography on small satellites and asteroids: application to surface features of the Martian satellites, Icarus, 105, 326–344, 1993.

    Article  Google Scholar 

  • Thomas, P. C. et al., Origin of the grooves on Phobos, Nature, 273, 282–284, 1978.

    Article  Google Scholar 

  • Thomas, P. C. et al., Grooves on Phobos—Their distribution, morphology and possible origin, J. Geophys. Res., 84, 8457–8477, 1979.

    Article  Google Scholar 

  • Veverka, J. and T. C. Duxbury, Viking observations of Phobos and Deimos—Preliminary results, J. Geophys. Res., 82, 4213–4223, 1977.

    Article  Google Scholar 

  • Veverka, J. et al., Discovery of grooves on Gaspra, Icarus, 107, 72–83, 1994.

    Article  Google Scholar 

  • Veverka, J. et al., NEAR at Eros: Imaging and spectral results, Science, 289, 2088–2097, 2000.

    Article  Google Scholar 

Download references

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Authors and Affiliations

  1. Lunar Mission Research Center, National Space Development Agency of Japan, Tsukuba Space Center, 2-1-1 Sengen, Tsukuba City, Ibaraki, 305-8505, Japan

    Hirohide Demura

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  1. Hirohide Demura
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Correspondence to Hirohide Demura.

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Demura, H. Power-law indices of asteroidal grooves and strength. Earth Planet Sp 53, 1065–1069 (2001). https://doi.org/10.1186/BF03351704

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  • DOI: https://doi.org/10.1186/BF03351704

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