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)
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.
Griffith, A. A., The phenomena of rupture and flow in solids, Philosophical Transaction Royal Society of London Series A, 34, 137–154, 1920.
Housen, K. R., Laboratory simulations of large-scale fragmentation events, Icarus, 94, 180–190, 1991.
Housen, K. R. and K. A. Holsapple, On the fragmentation of asteroids and planetary satellites, Icarus, 84, 226–253, 1990.
Housen, K. R. and K. A. Holsapple, Scale effects in strength-dominated collisions of rocky asteroids, Icarus, 142, 21–33, 1999.
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.
Pickering, G. et al., Sampling power-law distributions, Tectonophys., 248, 1–20, 1995.
Simonelli, D. P. et al., The generation and use of numerical shape models for irregular Solar System objects, Icarus, 103, 49–61, 1993.
Soter, S. and A. Harris, Are striations on Phobos evidence for tidal stress?, Nature, 268, 421–422, 1977.
Sullivan, R. et al., Geology of 243 Ida, Icarus, 120, 119–139, 1996.
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.
Thomas, P. C. et al., Origin of the grooves on Phobos, Nature, 273, 282–284, 1978.
Thomas, P. C. et al., Grooves on Phobos—Their distribution, morphology and possible origin, J. Geophys. Res., 84, 8457–8477, 1979.
Veverka, J. and T. C. Duxbury, Viking observations of Phobos and Deimos—Preliminary results, J. Geophys. Res., 82, 4213–4223, 1977.
Veverka, J. et al., Discovery of grooves on Gaspra, Icarus, 107, 72–83, 1994.
Veverka, J. et al., NEAR at Eros: Imaging and spectral results, Science, 289, 2088–2097, 2000.
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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