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.

引用

页码：1045 / 1050

页数：6

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