Interrelating asteroid size, albedo, and magnitude distributions.

Details Interrelating asteroid size, albedo, and magnitude distributions. Interrelating asteroid size, albedo, and magnitude distributions.

Jan 1995

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1995a%26a...293..948m&link_type=abstract

Astronomy and Astrophysics 293, 948-952 (1995)

Astronomy and Astrophysics

Astrophysics

10

Minor Planets, Asteroids, Methods: Analytical, Methods: Statistical

Scientific paper

Given the cumulative distributions of asteroid absolute magnitudes and geometric albedos, we derive the corresponding cumulative size distribution. The inversion problem entails a one-dimensional integral equation whose kernel is not separable from the unknown size distribution. Assuming the size and geometric albedo to be independent, the size distribution enters the well-known Fredholm integral equation of the first kind. We solve the integral equation analytically for discretely distributed geometric albedos. As an application, we then compute the size distribution of Earth-crossing asteroids assuming the population has light-scattering properties similar to C- and S-class asteroids. If the assumed proportion of brighter asteroids is increased, the total number of asteroids larger than a given size is decreased. The size distribution is rather insensitive to the geometric albedos assigned to the C- and S-class asteroids.

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