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Simple estimation of the upper-bound of the Chandler wobble's Q using its recent absence

Authors

Furuya,  Masato
IUGG 2023, General Assemblies, 1 General, International Union of Geodesy and Geophysics (IUGG), External Organizations;

Yamaguchi,  Ryuji
IUGG 2023, General Assemblies, 1 General, International Union of Geodesy and Geophysics (IUGG), External Organizations;

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Citation

Furuya, M., Yamaguchi, R. (2023): Simple estimation of the upper-bound of the Chandler wobble's Q using its recent absence, XXVIII General Assembly of the International Union of Geodesy and Geophysics (IUGG) (Berlin 2023).
https://doi.org/10.57757/IUGG23-3743


Cite as: https://gfzpublic.gfz-potsdam.de/pubman/item/item_5020800
Abstract
We exploit the recent absence of the Chandler wobble (CW) to more simply estimate the Chandler period (P) and Q without using any geophysical excitation data. While we can compute "geodetic CW" by re-integrating the non-seasonal "geodetic excitation" derived with the prescribed P and Q, we should note that the CW could also be derived without assuming any pairs of the P and Q but by simply taking out the annual wobble (AW) from the polar motion time-series data; we here assume that the amplitude changes of AW can be negligible. Denoting the geodetic CW as the CWgeod and the latter as the CWobs, we compare a series of CWgeod with CWobs. Because the two CW are in disagreement during the early- to mid-period due to the lack of the freely damping term in the CWgeod, we focus on to what extent the CWgeod and the CWobs are matching during the recent non-excited period. While this analysis is not strongly sensitive to the P, it turns out that the larger Q (>100) is unlikely and should be below 50. Although the lower Q as much as 25 also gives good agreement, we must include the excitation sources to constrain the lower bound of Q. Indeed, Yamaguchi and Furuya showed that the Q~25 is too low to account for the CW in 1980-2000s.