Hostname: page-component-cd9895bd7-gbm5v Total loading time: 0 Render date: 2024-12-26T04:57:39.684Z Has data issue: false hasContentIssue false

Remarks on the Size Distribution of Colliding and Fragmenting Particles

Published online by Cambridge University Press:  12 April 2016

Lothar W. Bandermann*
Affiliation:
University of Hawaii

Extract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

This paper is concerned with some aspects of determining the evolution of the size distribution of a finite number of mutually colliding and fragmenting particles such as the asteroids or interplanetary dust. If n(m, t) is the number of particles per unit volume per mass interval at time t, then n = dn/dt is the rate at which that number changes with time. This rate can be calculated if the laws are known according to which the colliding bodies erode one another and fragment and if the influence of collisions on the motion of the particles is known. To reduce the complexity of the problem, one assumes that the speed of approach between the bodies is always the same vcoll and that they, as well as the debris, occupy a fixed volume (“particles in a box”). Only collisions between two bodies are considered, and the way in which erosion and fragmentation occurs at a given value of vcoll depends only on their masses. The particles are assumed to be spherical.

Type
Part II-Origin of Asteroids Interrelations with Comets, Meteorites, and Meteors
Copyright
Copyright © NASA 1971

References

Dohnanyi, J.S. 1969, Collisional Model of Asteroids and Their Debris. J. Geophys. Res. 74, 2531.CrossRefGoogle Scholar
Dohnanyi, J.S. 1970, Mass Distribution of Asteroids. Bellcomm TM-70-2015-6.Google Scholar
Filippov, A.F. 1961, Theory of Probability, vol. 6, p. 275.Google Scholar
Gault, D.E., Shoemaker, E.M., and Moore, H.J. 1963, Fragments Ejected From Lunar Surface by Meteoroid Impact Analyzed on Basis of Studies of Hypervelocity Impact in Rock and Sand. 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.Google Scholar
Hellyer, B. 1970, The Fragmentation of the Asteroids. Mon. Notic. Roy. Astron. Soc. 148, 383.CrossRefGoogle Scholar
Piotrowski, S. 1953, The Collisions of Asteroids. Acta Astron. Ser. A 5, 115138.Google Scholar