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Fragmentation and Distribution of Asteroids

Published online by Cambridge University Press:  12 April 2016

Julius S. Dohnanyi
Julius S. Dohnanyi*
Affiliation:
Bellcomm, Inc.

Abstract

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As a result of mutual inelastic collisions, frequent on a geologic time scale, the mass distribution of asteroids undergoes constant change. Using a simplified velocity distribution for asteroids, the redistribution of their masses caused by collisions can be mathematically modeled as a stochastic process and the distribution of asteroidal masses can then be obtained as the solution. This paper is a review of recent progress on this problem.

The most detailed discussion of this problem considers the influence of the following collisional processes on the asteroidal mass distribution: (1) loss of asteroids by catastrophic breakup, (2) creation of new objects from the fragments of a catastrophically disrupted one, (3) erosive reduction in the masses of individual asteroids, and (4) erosive creation of new objects (i.e., production of secondary ejecta during erosive cratering by projectiles not large enough to catastrophically disrupt the target object). The main result is that after a sufficiently long period of time the population of asteroids may reach a quasi-steady-state distribution, regardless of the initial distribution. This final distribution is a product of a slowly decreasing function of time by a power law of index 11/6 for masses smaller than the largest asteroids. For the largest asteroids, an additional factor is included that expresses the influence on the distribution of the absence of masses larger than those observed. The observed distribution of bright asteroids from the McDonald asteroidal survey and that of faint ones from the Palomar-Leiden asteroidal survey are each individually consistent with the theoretical distribution, although they differ from each other by a numerical factor.

Type
Part II-Origin of Asteroids Interrelations with Comets, Meteorites, and Meteors
Information
International Astronomical Union Colloquium , Volume 12: Physical Studies of Minor Planets , 1971 , pp. 263 - 295
Copyright
Copyright © NASA 1971

References

References

Alfvén, H. 1964 a, On the Origin of Asteroids. Icarus 3, 52–56.Google Scholar
Alfvén, H. 1964b, On the Formation of Celestial Bodies. Icarus 3, 57–62.Google Scholar
Alfvén, H. 1969, Asteroidal Jet Streams. Astrophys. Space Sci. 4, 84–102.Google Scholar
Anders, E. 1965, Fragmentation History of Asteroids. Icarus 4, 398–408.CrossRefGoogle Scholar
Dohnanyi, J.S. 1967 a, Collisional Model of Meteoroids. The Zodiacal Light and the Interplanetary Medium (ed., Weinberg, J.L.), pp. 315–319. NASA SP-150.Google Scholar
Dohnanyi, J.S. 1967 b, Bellcomm Rept. TR-340-3.Google Scholar
Dohnanyi, J.S. 1967 c, Collisional Model of Asteroids and Their Debris. Paper presented at Int. Symp. Phys. Dyn. Meteors (Lomnica, Tatranska, Czech.).Google Scholar
Dohnanyi, J.S. 1969, Collisional Model of Asteroids and Their Debris. J. Geophys. Res. 74, 2531–2554.Google Scholar
Dohnanyi, J.S. 1970 a, On the Origin and Distribution of Meteoroids. J. Geophys. Res. 75, 3468–3493.Google Scholar
Dohnanyi, J.S. 1970 b, Mass Distribution of Asteroids. Bellcomm TM-70-2015-6.Google Scholar
Dohnanyi, J.S. 1971, Micrometeoroids. Trans. Amer. Geophys. Union, in press.Google Scholar
Gault, D.E., Shoemaker, E.M., and Moore, H.J. 1963, Spray Ejected From the Lunar Surface by Meteoroid Impact. NASA TN D-1767.Google Scholar
Gault, D.E., and Wedekind, J.A. 1969, The Destruction of Tektites by Micrometeoroid Impact. J. Geophys. Res. 74, 6780–6794.Google Scholar
Hartmann, W.K. 1968, Growth of Asteroids and Planetesimals by Accretion. Astrophys. J. 152, 337–342.Google Scholar
Hartmann, W.K. 1969, Terrestrial, Lunar, and Interplanetary Rock Fragmentation. Icarus 10, 201–213.Google Scholar
Hartmann, W.K., and Hartmann, A.C. 1968, Asteroid Collisions and Evaluation of Asteroidal Mass Distribution and Meteoritic Flux. Icarus 8, 361–381.Google Scholar
Hellyer, B. 1970, The Fragmentation of the Asteroids. Mon. Notic. Roy. Astron. Soc. 148, 383–390.CrossRefGoogle Scholar
Hirayama, K. 1923, Families of Asteroids. Jap. J. Astron. Geophys. 1, 55–93.Google Scholar
Hirayama, K. 1928, Families of steroids, 2. Jap. J. Astron. Geophys. 5, 137–162.Google Scholar
Houten, C.J. van, Houten-Groeneveld, I. van, Herget, P., and Gehrels, T. 1970, Palomar-Leiden Survey of Faint Minor Planets. Astron. Astrophys. Suppl. Ser. 2, 339–448.Google Scholar
Jones, J. 1968, The Mass Distribution of Meteoroids and Asteroids. Can. J. Phys. 46, 1101–1107.Google Scholar
Kessler, D.J. 1969, Spatial Density of the Known Asteroids in the Ecliptic Plane. NASA TM X-58026.Google Scholar
Kiang, T. 1962, Asteroid Counts and Their Reduction. Mon. Notic. Roy. Astron. Soc. 123, 509–519.Google Scholar
Kokott, W. 1970, The Dust Population in the Asteroid Belt. Paper presented at the 13th COSPAR Plenary Meeting (Leningrad).Google Scholar
Kuiper, G.P. 1953, Note on the Origin of Asteroids. Proc. Nat. Acad. Sci. 39, 1159–1161.Google Scholar
Kuiper, G.P., Fujita, Y., Gehrels, T., Groeneveld, I., Kent, J., Van Biesbroeck, G., and Houten, C.J. van. 1958, Survey of Asteroids. Astrophys. J. Suppl. Ser. 3, 289–428.Google Scholar
Marcus, A.H. 1965, Positive Stable Laws and the Mass Distribution of Planetesimals. Icarus 4, 267–272.CrossRefGoogle Scholar
Marcus, A.H. 1969, Speculations on Mass Loss by Meteoroid Impact and Formation of the Planets. Icarus 11, 76–87.Google Scholar
Moore, H.J., and Gault, D.E. 1965, The Fragmentation of Spheres by Projectile Impact. Astrogeologie Studies, U.S. Geol. Survey Annu. Progress Rept., pp. 127–150.Google Scholar
NASA SP-8038. 1970, Meteoroid Environment Model-1970 (Interplanetary and Planetary).Google Scholar
Öpik, E.J. 1951, Collision Probabilities With the Planets and the Distribution of Interplanetary Matter. Proc. Roy. Irish Acad. 54, 165–199.Google Scholar
Öpik, E.J. 1963, The Stray Bodies in the Solar System, 1. Survival of Cometary Nuclei and the Asteroids. Advan. Astron. Astrophys. 2, 219–262.Google Scholar
Öpik, E.J. 1966, The Stray Bodies in the Solar System, 3. The Cometary Origin of Meteorites. Advan. Astron. Astrophys. 4, 301–336.CrossRefGoogle Scholar
Piotrowski, S. 1953, The Collisions of Asteroids. Acta Astron. Ser. A 5, 115–138.Google Scholar
Robertson, H.P. 1936, Dynamical Effects of Radiation in the Solar System. Mon. Notic. Roy. Astron. Soc. 97, 423–438.Google Scholar
Roosen, R.G. 1970, The Gegenschein and Interplanetary Dust Outside the Earth’s Orbit. Icarus 13, 184–201.Google Scholar
Sharonov, V.V. 1964, The Nature of the Planets. Israel Program for Scientific Translation. Jerusalem.Google Scholar
Wetherill, G.W. 1967, Collisions in the Asteroid Belt. J. Geophys. Res. 72, 2429–2444.Google Scholar
Whipple, F.L. 1967, On Maintaining the Meteoritic Complex. Smithson. Astrophys. Observ. Special Rept. 239, 2–45. (Also available in NASA SP-150, pp. 409–426.)Google Scholar

Discussion References

Nairn, F. 1966, Spatial Distribution and Motion of the Known Asteroids. J. Spacecr. Rockets 3, 1438–1440.Google Scholar
Watson, F.G. 1956, Between the Planets. Harvard Univ. Press. Cambridge.Google Scholar