Normal Modes of the World Ocean. Part IV: Synthesis of Diurnal and Semidiurnal Tides

Platzman, George W.

doi:10.1175/1520-0485(1984)014<1532:nmotwo>2.0.co;2

Cited by 63 publications

(52 citation statements)

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“…Zetler et al (1975) obtained continuous admittance curves for M 2 , N 2 , L 2 , K 2 , and 2N 2 , from which he obtained T = 13.0 hr, Q = 10.4. These results are in agreement with a synthesis of the M 2 tide by Platzman (1984), in which a 13.0 hr mode figures prominently. The synthesis also shows two other important modes with periods of 12.8 hr and 12.1 hr.…”

Section: Modes Forced By Astronomical Tide-generating Forcessupporting

confidence: 91%

“…They report qualitative agreement with the "best modern tidal charts." Platzman (1984) created a tidal synthesis based on 60 modes with periods in the range 8-96 hrs. The calculated normal modes did not include dissipation, which was introduced by means of a radiation boundary condition and a variational treatment of LTE.…”

Section: Tidal Synthesismentioning

confidence: 99%

“…A one-mode fit yielded T = 30.6 hr, and Q = 3.3. Platzman (1984) synthesized the O1 tide showing that 80% of its energy is supplied by one mode with period of 28.7 hr and quality factor of 5.6. This mode is responsible for the fundamental Antarctic Kelvin wave with a period of 30.7 hr, very close to the result based on admittances.…”

Section: Modes Forced By Astronomical Tide-generating Forcesmentioning

confidence: 99%

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Normal Modes of the Global Oceans—A Review

Sanchez¹

2008

Marine Geodesy

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This paper deals with the normal modes of the global oceans. More specifically, it reviews some of the work done in association with the modeling, detection, and application of the barotropic, basin-wide normal modes. The paper presents some results obtained by means of the Proudman-Rao method. The fields of tidal synthesis from a set of normal modes, and paleotides, in the context of normal modes and the evolution of the Earth-Moon system, are surveyed as well. Works associated with the detection of normal modes are discussed also. The paper closes with an analysis of possible future developments.

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Section: Modes Forced By Astronomical Tide-generating Forcessupporting

confidence: 91%

Section: Tidal Synthesismentioning

confidence: 99%

Section: Modes Forced By Astronomical Tide-generating Forcesmentioning

confidence: 99%

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Normal Modes of the Global Oceans—A Review

Sanchez¹

2008

Marine Geodesy

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“…The power near these major tides is just too far away to be absorbed by either the tides or the sidebands estimated. Possible explanations for the residual signals are atmospheric tides as discussed by Volland [ 1997] and ocean normal modes [Platzman, 1984]. The true reason for these "lines" is not clear yet.…”

Section: Ut1mentioning

confidence: 99%

High‐frequency variations in Earth rotation from Global Positioning System data

Rothacher¹,

Beutler²,

Weber³

et al. 2001

J. Geophys. Res.

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Abstract. Using the data of the global, dense Global Positioning System (GPS) network established by the International GPS Service a continuous, uninterrupted series of subdaily Earth rotation parameters (ERPs) with a time resolution of 2 hours has been generated at the Center for Orbit Determination in Europe. The series starts in January 1995 and has a length of more than 3 years. Starting from the 2-hour ERP values of this, to our knowledge, unique time series, the high-frequency variations in Universal Time (UT1) and polar motion (PM) due to ocean tides are studied and a set of sine and cosine coefficients is estimated for all the major tidal terms at nearly diurnal and semidiurnal frequencies. The GPS series is not very homogeneous (various processing changes during the 3 years) and still short compared to the length of very long baseline interferometry (VLBI) and satellite laser ranging (SLR) data sets. However, the results derived from this series are already of the same quality as the results from VLBI and SLR. A comparison of the tidal coefficients stemming from all three space-geodetic techniquek shows an agreement on the 1/zs level for UT1 and 10 microarc seconds (/zas) for PM, respectively. The RMS difference between the ocean tide amplitudes estimated from GPS data and from TOPEX/Poseidon altimeter data amounts to 0.7-0.9/zs in UT1 and 9-13/zas in PM. The residual spectrum that remains after the removal of all tidal terms has a noise level of • 5-10/zas in PM and 0.5-1/zs in UT1 and contains nontidal signals (up to 55/zas in PM and 3/zs in UT1) that might be due to the impact of the satellite orbit modeling (12-hour revolution period of the satellites) or, alternatively, due to atmospheric or oceanic normal modes.

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“…This leaves a frequency-dependent ocean tide admittance as the only reasonable cause for the frequency dependence of K , within this band. The ocean response to tidal forcing is known to be a slowly varying function of frequency (Platzman 1984).…”

Section: (4)mentioning

confidence: 99%

Geophysical analysis of zonal tidal signals in length of day

Chao

Merriam

Tamura

1995

Geophysical Journal International

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S U M M A R YThe Earth's zonal response coefficient K is estimated from the tidal signals in the observed length-of-day (LOD) data. Its magnitude and phase are functionals of the Earth's internal structure and dynamics. In this paper, an analysis of 13 years of precise LOD data (1980)(1981)(1982)(1983)(1984)(1985)(1986)(1987)(1988)(1989)(1990)(1991)(1992) reveals strong signals for nine zonal tidal groups ranging from 5 to 35 days in period. Numerical estimates of K for 27 major tides are thus obtained, 11 among which are considered sufficiently high in signal-to-noise ratio to provide meaningful geophysical constraints on the Earth's rotational dynamics. The results favour a K magnitude close to, but somewhat smaller than, 0.315, which is the theoretical value for an elastic mantle completely decoupled from the fluid core plus equilibrium oceans. A small amount of dispersion is also detectable, where shorter periods tend to have lower K magnitude and larger phase lag. Our K magnitude estimates are consistent with two recently published non-equilibrium ocean-tide models and an anelastic response in the mantle, although an equilibrium response in the ocean and a purely elastic response in the mantle is not disallowed. Phase lags of a few degrees are required by both ocean-tide models, and by our data.

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Normal Modes of the World Ocean. Part IV: Synthesis of Diurnal and Semidiurnal Tides

Cited by 63 publications

References 0 publications

Normal Modes of the Global Oceans—A Review

Normal Modes of the Global Oceans—A Review

High‐frequency variations in Earth rotation from Global Positioning System data

Geophysical analysis of zonal tidal signals in length of day

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