On de-Sitter geometry in crater statistics
  The cumulative size-frequency distributions of impact craters on planetary bodies in the solar system appear to approximate a universal inverse square power-law for small crater radii. In this article, we show how this distribution can be understood easily in terms of geometrical statistics, using a de-Sitter geometry of the configuration space of circles on the Euclidean plane and on the unit sphere. The effect of crater overlap is also considered. 
Gary W. Gibbons, Marcus C. Werner
astro-ph.EP gr-qc math-ph math.MP