Abstract
Abstract The changes in the length of day with periods near 50 days appear to be driven by resonance in the atmospheric angular momentum. We use a damped harmonic oscillator model, characterized by a resonance period and a Q -factor, to describe this behaviour. Estimates of the period and Q have been obtained by fitting autoregressive (AR) and autoregressive moving average (ARMA) time series models to the length of day and atmospheric angular momentum data. Estimates of the period near 50 days were obtained, but a precise value is probably unobtainable because the low Q value indicates that the degree of resonance is slight.
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