On de-Sitter geometry in crater statistics

被引：3
|
作者：
Gibbons, G. W. [1 ]
Werner, M. C. [2 ,3 ]
机构：
[1] Univ Cambridge, Dept Appl Math & Theoret Phys, Cambridge CB3 0WA, England
[2] Univ Tokyo, Kavli Inst Phys & Math Universe, Kashiwa, Chiba 2778583, Japan
[3] Duke Univ, Dept Math, Durham, NC 27708 USA
来源：
MONTHLY NOTICES OF THE ROYAL ASTRONOMICAL SOCIETY | 2013年 / 429卷 / 02期
关键词：
methods: statistical; planets and satellites: surfaces; cosmology: miscellaneous; STOCHASTIC MODEL; LUNAR CRATERS; SURVIVAL; DIAMETER; MARS;
D O I：
10.1093/mnras/sts401
中图分类号：
P1 [天文学];
学科分类号：
0704 ;
摘要：
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 paper, 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.
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页码：1045 / 1050
页数：6
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