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We investigate whether coagulation models of planet formation can explain theobserved size distributions of transneptunian objects (TNOs). Analyzingpublished and new calculations, we demonstrate robust relations between thesize of the largest object and the slope of the size distribution for sizes 0.1km and larger. These relations yield clear, testable predictions for TNOs andother icy objects throughout the solar system. Applying our results to existingobservations, we show that a broad range of initial disk masses, planetesimalsizes, and fragmentation parameters can explain the data. Adding dynamicalconstraints on the initial semimajor axis of `hot' KBOs along with probable TNOformation times of 10-700 Myr restricts the viable models to those with amassive disk composed of relatively small (1-10 km) planetesimals.

the astronomical journal

Coagulation Calculations of Icy Planet Formation at 15--150 AU: A  Correlation Between the Maximum Radius and the Slope of the Size Distribution  for Transneptunian Objects