The Statistical Asteroid Model. I. The Main-Belt Population for Diameters Greater than 1 Kilometer

We describe the creation of a model of the main asteroid belt whose purpose is to describe the main-belt asteroid size frequency distribution and simulate the number of main-belt asteroids and their fluxes at visual through mid-infrared (∼0.3–70 μm) wavelengths in any area of sky for an arbitrary date. This model is based on a population of ∼1.9 × 10 6 asteroids obtained from the complete known asteroid sample, plus extrapolation of the size-frequency distributions of 15 asteroid dynamical families and three background populations, to a diameter limit of 1 km. The model is compared with data and other models, example applications are given, planned refinements and extensions to the model are presented, and some implications of the resulting size frequency distribution are discussed.