The asteroidal belt and Kirkwood gaps—I. A statistical study
In this paper we have made a spectral analysis study of matter distribution in the asteroidal belt. We have Fourier analysed this distribution and obtained the autocorrelation and power spectrum, and have identified the ratios from the resonance theory. We have shown that the Kirkwood gaps cannot be satisfactorily interpreted as due to mere resonance between the asteroid and Jupiter orbital motions. We propose that they may be regarded as a consequence of density waves generated in the gas dise in the ecliptic plane in the neighbourhood of the Sun. We have also shown that the process is non-Marcovian and hence cannot be subjected to a hydrodynamical analysis.
Volume 93 | Issue 5
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