Statistical tests of a periodicity hypothesis for crater formation rate - II

Astronomy and Astrophysics – Astronomy

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Methods: Statistical, Comets: General, Solar System: General

Scientific paper

A statistical test is made of the periodicity hypothesis for crater formation rate, using a new data set compiled by Grieve. The criterion adopted is that of Broadbent, modified so as to take into account the loss of craters with time. Small craters (diameters <=2 km) are highly concentrated near the recent epoch, and are not adequate as a data set for testing. Various subsets of the original data are subjected to the test and a period close to 30 Myr is detected. On the assumption of random distribution of crater ages, the probability of detecting such a period is calculated at 50, 73 and 64 per cent respectively for craters with D<~2 km (N=49), for those with 10>=D<~2 km (N=31) and for large craters [D<~10 km, (N=18)] (where N is the number of craters). It is thus difficult to regard the detected period as being significant based on statistical argument alone. It is pointed out that a similar period is associated with geometric reversals and the climatic variation as revealed by the deep ocean delta^18O spectrum.

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