A spectral analysis of the periodicity hypothesis in cratering records

Astronomy and Astrophysics – Astronomy

Scientific paper

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Methods: Numerical, Oort Cloud, Solar System: General

Scientific paper

Analysis is made of cratering records, whereby not only the crater ages, but also the sizes can be naturally taken into account. The method adopted is the periodogram analysis first discussed by Lomb. From the crater data based on Grieve's compilation, a period can be derived when a statistical weight of a crater is taken proportional to the size or when a weight proportional to the impact energy is adopted. The period so derived is 37.5 million years. A similar analysis based on Napier's list of craters yields almost the same result. To estimate the significance of the derived period, Monte Carlo experiments have been carried out. It turns out that the probability of occurrence of the derived period due to chance on the null hypothesis of a random distribution of crater ages lies between 0.02 +/- 0.004 and 0.10 +/- 0.009 depending on the data set adopted. The result shows that the level of significance obtained here is higher than in earlier investigations where large craters (with D > 30 km) only are taken into account. A brief discussion is made of the implication of the derived period for the estimates of the Galactic mass density by Stothers and by Hipparcos data analysis.

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