An optimal complex AR.MA model of the Chandler wobble

Ooe, M.

doi:10.1111/j.1365-246x.1978.tb03752.x

Cited by 50 publications

(22 citation statements)

References 19 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…In fact, the variability of the CW frequency has been a subject of debate. Some authors assumed or proved the frequency to be invariant (e.g., Ooe 1978;Kuehne and Wilson 1996;Vicente and Wilson 1997;Gross et al 2003;Liao et al 2003;Seitz et al 2004). Some authors suggested a variable frequency (e.g., Melchior 1954Melchior , 1957Sekiguchi 1972Sekiguchi , 1976Guinot 1972;Carter 1981;Nastula et al 1993;Liu et al 2000;Schuh et al 2001;Höpfner 2003Höpfner , 2004.…”

Section: Introductionmentioning

confidence: 99%

On the double-peak spectrum of the Chandler wobble

et al. 2005

View full text Add to dashboard Cite

Abstract.It is well known that two close spectral peaks with comparable amplitudes exist in the Chandler wobble (CW) band in the observed polar motion spectrum during the first half of the past century. However, it is not generally accepted that the CW is an oscillation with two closely lying frequencies, and some authors attribute the appearance of these two peaks to some unusual phase variation (180• shift) of the CW during 1920s-1930s. In this note, the phase variation of the CW is explored using the longest Earth orientation parameter (EOP) time series currently available-the International Earth Rotation and Reference System Service (IERS) EOP-C01 from 1846 to 2003. The observation time series mainly containing the CW obtained by removing the annual wobble (AW) from the original EOP time series is compared with a synthetic double frequency CW times series constructed using the frequencies, amplitudes and initial phases of the two peaks precisely determined using spectral analysis. The result shows reasonable agreement between their peak times, a feature not shown before. This feature is in agreement with the hypothesis of a double frequency CW. While the result shown here is inconclusive that the CW really has two frequencies, this note is expected to serve as a reminder for its renewed interest.

show abstract

Section: Introductionmentioning

confidence: 99%

On the double-peak spectrum of the Chandler wobble

et al. 2005

View full text Add to dashboard Cite

show abstract

“…In the absence of any knowledge of its excitation, statistical models of the excitation can be adopted (e.g., Jeffreys, 1972;Ooe, 1978;Wilson and Haubrich, 1976;Wilson andVicente, 1980, 1990). In the absence of any knowledge of its excitation, statistical models of the excitation can be adopted (e.g., Jeffreys, 1972;Ooe, 1978;Wilson and Haubrich, 1976;Wilson andVicente, 1980, 1990).…”

Section: The Chandler Wobble and Its Excitationmentioning

confidence: 99%

Earth Rotation Variations – Long Period

Gross

2015

Treatise on Geophysics

View full text Add to dashboard Cite

“…Jeffreys (1958) and Smith and Dahlen (1981) noted that the Chandler wobble provides a probe of the anelastic properties of the Earth at a period (~435 days) far removed from the seismic frequencies that are commonly employed to determine the structure and rheological properties of the Earth. Recent determinations of the Q of the Chandler wobble using classical observations are in the range of 50-400 (Jeffreys, 1968;Currie, 1974Currie, , 1975Wilson and Haubrich, 1976;Ooe, 1978). A full exploitation of the geophysical information provided by the motion of the Earth will require an accurate determination of the excitation mechanism(s).…”

Section: E Polar Motionmentioning

confidence: 99%

Geophysical applications of very-long-baseline interferometry

Robertson

1991

Rev. Mod. Phys.

View full text Add to dashboard Cite

Very-long-baseline interferometry (VLBI) is a novel observing technique for measuring the relative positons of widely separated points on the surface of the Earth with centimeter-level accuracy. Such accuracy is two or three orders of magnitude better than was available with classical techniques only a few decades ago. This enormous improvement in accuracy has opened up for study a broad new spectrum of geophysical phenomena. The new measurements allow direct observation of the tectonic motions and deformations of the Earth's crustal plates, observations of unprecedented detail of the variations in the rotation of the Earth, and direct measurement of the elastic deformations of the Earth in response to tidal forces. These new measurements have placed significant constraints on models of the interior structure of the Earth; for example, measurements of the variations in the Earth's nutation have been shown to be particulary sensitive to the shape of the core-mantle boundary. The VLBI measurements, coupled with other space-based geodetic observing techniques such as the Global Positioning System, allow construction of a global reference frame accurate at the centimeter level. Such a frame will be essential to studying longterm global changes, especially those changes related to sea-level variations as recorded by tide gauge measurements.

show abstract

An optimal complex AR.MA model of the Chandler wobble

Cited by 50 publications

References 19 publications

On the double-peak spectrum of the Chandler wobble

On the double-peak spectrum of the Chandler wobble

Earth Rotation Variations – Long Period

Geophysical applications of very-long-baseline interferometry

Contact Info

Product

Resources

About