Steady-state size distributions for collisional populations: Analytical solution with size-dependent strength

David P. O'Brien, Richard J. Greenberg

Research output: Contribution to journalArticle

125 Citations (Scopus)

Abstract

The steady-state population of bodies resulting from a collisional cascade depends on how material strength varies with size. We find a simple expression for the power-law index of the population, given a power law that describes how material strength varies with size. This result is extended to the case relevant for the asteroid belt and Kuiper belt, in which the material strength is described by 2 separate power laws - one for small bodies and one for larger bodies. We find that the power-law index of the small body population is unaffected by the strength law for the large bodies, and vice versa. Simple analytical expressions describe a wave that is superimposed on the large body population because of the transition between the two power laws describing the strength. These analytical results yield excellent agreement with a numerical simulation of collisional evolution. These results will help to interpret observations of the asteroids and KBOs, and constrain the strength properties of those objects.

Original languageEnglish (US)
Pages (from-to)334-345
Number of pages12
JournalIcarus
Volume164
Issue number2
DOIs
StatePublished - Aug 1 2003

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power law
asteroid
mechanical properties
Kuiper belt
asteroid belts
asteroids
cascades
simulation
material
index

Keywords

  • Asteroids
  • Collisional evolution

ASJC Scopus subject areas

  • Space and Planetary Science
  • Astronomy and Astrophysics

Cite this

Steady-state size distributions for collisional populations : Analytical solution with size-dependent strength. / O'Brien, David P.; Greenberg, Richard J.

In: Icarus, Vol. 164, No. 2, 01.08.2003, p. 334-345.

Research output: Contribution to journalArticle

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