Chandler wobble: two more large phase jumps revealed

Malkin, Zinovy; Miller, Natalia

doi:10.5047/eps.2010.11.002

Cited by 27 publications

(28 citation statements)

References 11 publications

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“…[21,22] Moreover, it is well known that in the 1920s the amplitude of the Chandler wobble decreased sharply, only to re-start with a phase jump of nearly 180 • [21]. A recent analysis finds two other brief extinctions, followed by phase jumps, in the 1850s and 2000s [20]. These irregularities are difficult to explain in stochastic reexcitation or forced resonance models, as they are not associated with obvious geophysical events.…”

Section: Dissipation and Maintenancementioning

confidence: 99%

“…This suggests an explanation of the wobble's extinctions, which occur rarely and are followed by re-excitation with a random phase jump, without obvious connection to major geophysical events. [20] 2 Precession and deformation Newcomb's simplified treatment in [8] of the Earth's deformability and its connection to the observed ω Ch lends itself to a physically intuitive formulation of our self-oscillatory model. We therefore begin by summarizing Newcomb's argument.…”

Section: Introductionmentioning

confidence: 99%

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Chandler Wobble: Stochastic and Deterministic Dynamics

Jenkins

2016

Dynamical Systems: Theoretical and Experimental Analysis

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We propose a model of the Earth's torqueless precession, the "Chandler wobble", as a self-oscillation driven by positive feedback between the wobble and the centrifugal deformation of the portion of the Earth's mass contained in circulating fluids. The wobble may thus run like a heat engine, extracting energy from heat-powered geophysical circulations whose natural periods would otherwise be unrelated to the wobble's observed period of about fourteen months. This can explain, more plausibly than previous models based on stochastic perturbations or forced resonance, how the wobble is maintained against viscous dissipation. The self-oscillation is a deterministic process, but stochastic variations in the magnitude and distribution of the circulations may turn off the positive feedback (a Hopf bifurcation), accounting for the occasional extinctions, followed by random phase jumps, seen in the data. This model may have implications for broader questions about the relation between stochastic and deterministic dynamics in complex systems, and the statistical analysis thereof.

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Section: Dissipation and Maintenancementioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Chandler Wobble: Stochastic and Deterministic Dynamics

Jenkins

2016

Dynamical Systems: Theoretical and Experimental Analysis

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“…Although CW has been under investigation for more than a century, its excitation mechanism has remained elusive (Lenhardt and Groten 1985;King and Agnew 1991;Gross 2000;Höpfner 2004;Malkin and Miller 2010). Up to now, various hypotheses on CW excitation have been proposed, such as atmospheric and oceanic processes (Brzeziński et al , 2012Bizouard et al 2011;Brzeziński and Nastula 2002;Salstein 2000;Gross et al 2003;Zotov and Bizouard 2015), wind and surface pressure variations (Wahr 1982;Gross et al 2003), groundwater impulses, changes in snow cover, interaction at the boundary between the core and mantle, and earthquakes (Dahlen 1971(Dahlen , 1973Höpfner 2004;Smylie et al 2015).…”

Section: Introductionmentioning

confidence: 99%

Variable Chandler and Annual Wobbles in Earth’s Polar Motion During 1900–2015

Wang

Liu

et al. 2016

Surv Geophys

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The Chandler wobble (CW) and annual wobble (AW) are the two main components of polar motion, which are difficult to separate because of their very close periods. In the light of Fourier dictionary and basis pursuit method, a Fourier basis pursuit (FBP) spectrum is developed, which can reduce spectral smearing and leakage caused by the finite length of the time series. Further, a band-pass filtering method based on FBP spectrum (FBPBPF), which can effectively suppress the edge effect, is proposed in this paper. The simulation test results show that the FBPBPF method can effectively suppress the edge effect caused by spectral smearing and leakage and that its reconstruction accuracy at the boundary is approximately three times higher than the Fourier transform band-pass filtering method, which is based on Hamming windowed FFT spectrum, in extracting quasi-harmonic signals. The FBPBPF method is then applied to Earth's polar motion data during 1900-2015. Through analyzing the amplitude and period variations of CW and AW, and calculating the eccentricity variation of the AW, we found that: (1) the amplitude of the CW is currently at a historic minimum level, and it is even possible to diminish further until a complete stop; and (2) the eccentricity of the AW has a gradually decreased fluctuation during the last 116 years.

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“…Akulenko et al (2010Akulenko et al ( , 2011 improved an Earth rotation model and used it to investigate the interconnection between fluctuations in the Atmospheric Angular Momentum and LOD variations, and improve the accuracy of interpolation and prediction of the Earth's axial rotation. Malkin and Miller (2010) and Miller (2011) investigated Chandler wobble variations using a 165-year IERS Polar motion series and a 170-year series of the Pulkovo latitude variations respectively. Gorshkov (2010) analyzed several EOP series to investigate LOD variations with periods of 2-7 years and their connection with various geophysical phenomena.…”

Section: Report Of Activities In the Space Research Centre Of The Polmentioning

confidence: 99%

Commission 19: Rotation of the Earth

Schuh¹,

Huang²,

Seitz³

et al. 2011

Proc. IAU

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The Commission supports and coordinates scientific investigations about Earth rotation and related reference frames. Above all C19 encourages and develops cooperation and collaboration in observation and theoretical studies of Earth orientation (the motions of the pole in the terrestrial and celestial reference systems and the rotation about the pole). The Commission serves the astronomical community by linking it to the official organizations providing the International Terrestrial and Celestial Reference Systems/Frames (ITRS/ITRF and ICRS/ICRF) and Earth orientation parameters (EOP): International Association of Geodesy (IAG), International Earth Rotation and Reference System Service (IERS), International VLBI Service for Geodesy and Astrometry (IVS), International GNSS Service (IGS), International Laser Ranging Service (ILRS), International DORIS Service (IDS). Among the most important activities are the development of methods for improving the accuracy and understanding of Earth orientation and related reference systems/frames. Further, C19 ensures the agreement and continuity of the reference frames used for Earth orientation with other astronomical reference frames and their densifications and provides means of comparing observational and analysis methods and results to ensure accuracy of data and models.

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Chandler wobble: two more large phase jumps revealed

Cited by 27 publications

References 11 publications

Chandler Wobble: Stochastic and Deterministic Dynamics

Chandler Wobble: Stochastic and Deterministic Dynamics

Variable Chandler and Annual Wobbles in Earth’s Polar Motion During 1900–2015

Commission 19: Rotation of the Earth

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