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Polar motion

Polar motion is the movement of the Earth's rotational axis relative to the Earth's crust, manifesting as a small, irregular wandering of the geographic poles on the surface.^[1] This phenomenon is quantified by the coordinates x and y of the instantaneous pole of rotation in the International Terrestrial Reference System (ITRS), where x is measured along the Greenwich meridian (0° longitude) and y along the 90° W meridian.^[2] The motion traces a roughly elliptical path with amplitudes typically ranging from 0.1 to 0.3 arcseconds (about 3 to 10 meters at the pole), reflecting the dynamic interplay between the Earth's rotation and its internal and external mass distributions.^[3] The primary components of polar motion include a long-term secular drift, an annual oscillation, and the Chandler wobble. The secular drift is a steady progression of the pole at approximately 3.72 milliarcseconds per year toward approximately 57° W.^[3] The annual component, with a period of one year and amplitude of 60–120 milliarcseconds, arises from seasonal mass redistributions such as the melting of snow and ice in the Northern Hemisphere and corresponding atmospheric and oceanic adjustments.^[3] Superimposed on these is the Chandler wobble, a free Eulerian nutation with a period of about 433 days (prograde motion) and variable amplitude typically 100–150 mas historically, though significantly reduced to below 50 mas after 2015 due to atmospheric mass anomalies from events like the 2011 La Niña, with partial recovery and phase shift observed by 2024, resulting from the Earth's elastic response to rotational perturbations.^[1]^[4] This dominant irregular component was first identified in 1891 by American astronomer Seth Carlo Chandler through analysis of latitude observations, initially revealing a period of around 14 months that was later refined to account for the planet's non-rigidity.^[5] Polar motion is excited mainly by torques from atmospheric angular momentum changes, oceanic mass transports, and post-glacial rebound, with additional influences from core-mantle interactions and tidal forces.^[3] It is continuously monitored by the International Earth Rotation and Reference Systems Service (IERS) using space geodetic techniques including very long baseline interferometry (VLBI), satellite laser ranging (SLR), global navigation satellite systems (GNSS), and Doppler orbitography and radiopositioning integrated by satellite (DORIS), providing data series dating back to 1890 for precise Earth orientation parameters essential to astronomy, geodesy, and navigation.^[3] Diurnal and semi-diurnal tidal variations, with amplitudes under 1 milliarcsecond, are routinely corrected in models to isolate the longer-term signals.^[1]

Introduction and Fundamentals

Definition and Principle

Polar motion refers to the quasi-periodic movement of the Earth's instantaneous rotation pole (IRP) relative to the planet's crust. This phenomenon manifests as a small, irregular oscillation of the rotation axis within the solid Earth, driven by various geophysical processes. The IRP represents the axis about which the Earth rotates at any given instant, and its position shifts gradually over time due to internal and external influences.^[1] The underlying principle of polar motion is rooted in the conservation of angular momentum for the Earth system. In the absence of significant external torques, perturbations such as mass redistributions within the atmosphere, oceans, and solid Earth—along with minor gravitational torques from celestial bodies—cause the rotation axis to wander. These dynamics are mathematically described in the Earth-fixed body frame using Euler's equations for rigid body rotation, which are adapted to account for the Earth's non-rigid deformation through load Love numbers and other viscoelastic responses. This framework models the coupling between the angular velocity vector and the inertia tensor, illustrating how imbalances lead to polar excursions.^[6]^[7] The position of the IRP is quantified using polar coordinates x_p and y_p in the International Reference Pole (IRP) system, defined relative to the International Terrestrial Reference Frame (ITRF). Here, x_p measures the offset along the Greenwich meridian (0° longitude, toward 90°W), while y_p measures the offset along the 90° W meridian. The polar motion is then depicted as the trajectory traced by the point (x_p, y_p) in this coordinate plane over time, providing a two-dimensional representation of the axis's movement.^[7]^[1] The amplitude of this motion typically ranges from 0.1 to 0.3 arcseconds, equivalent to a surface displacement of approximately 3 to 9 meters at the Earth's poles, given the planet's mean radius of about 6371 km. This scale underscores the subtlety of the phenomenon, yet it is precisely measurable and has implications for geodetic and geophysical studies. The primary components of polar motion include the Chandler wobble and annual motion.^[1]

Historical Background

The discovery of polar motion is attributed to the American astronomer Seth Carlo Chandler Jr., who in 1891 analyzed historical astronomical observations and identified irregular variations in latitude that exceeded the expected annual effects, revealing a dominant oscillation with a period of approximately 14 months. Earlier hints of such variations had been noted by the German astronomer Friedrich Küster in 1888 through precise measurements suggesting a similar 428-day periodicity.^[8] These initial detections relied on zenith telescopes at dedicated latitude observatories, including Mizusawa in Japan and Kitab in present-day Uzbekistan, which formed part of an emerging international network for monitoring astronomical latitudes.^[9] In 1892, Simon Newcomb confirmed Chandler's findings and provided an early theoretical explanation, attributing the elongated period of the oscillation to the elastic deformation of the Earth rather than a rigid body model. This spurred the establishment of the International Latitude Service (ILS) in 1899 by the International Geodetic Association, which coordinated global observations from six observatories at 39° north latitude to systematically track polar motion.^[10] Throughout the early 20th century, the ILS refined measurements and analyses, contributing to a deeper understanding of the phenomenon's irregular components. The service transitioned in 1962 to the International Polar Motion Service (IPMS), reflecting broader advancements in Earth rotation studies and incorporating data from additional stations.^[11] Early theories increasingly invoked elastic deformations of the Earth's mantle to explain observed deviations from rigid-body predictions. In the 1960s, the development of the Liouville equations by Walter H. Munk and Gordon J. F. MacDonald formalized the link between polar motion and mass redistribution within the Earth, building on the principle of angular momentum conservation.

Observations and Measurement

Historical Observations

The historical observations of polar motion relied on ground-based astronomical measurements to detect variations in astronomical latitude at dedicated observatories. In 1899–1900, the International Latitude Service (ILS) initially established a network of four stations along the parallel of 39°08′ N latitude—Mizusawa in Japan, Gaithersburg and Ukiah in the United States, and Carloforte in Italy—with a fifth station at Tschardjui (now Chardzhou, Turkmenistan) added in 1904; in 1930, Tschardjui was replaced by Kitab in Uzbekistan. Each equipped with identical visual zenith telescopes manufactured by the Wanschaff firm in Berlin. These instruments, featuring a 4.25-inch objective lens and 51-inch focal length, employed the Horrebow-Talcott method to measure the zenith distances of circumpolar star pairs, minimizing systematic errors through simultaneous observations north and south of the zenith while using spirit levels for vertical alignment. Later refinements included the adoption of photographic zenith tubes starting in the 1910s, which recorded star positions on photographic plates to reduce subjective human judgment and improve precision to about 0.05 arcseconds.^[12]^[13]^[11] These early 20th-century efforts built upon Seth Carlo Chandler's 1891 analysis of pre-ILS latitude data, which first identified a free nutation with a period longer than Euler's theoretical 10 months. Analysis of ILS data from 1900 to 1920 revealed irregular variations superimposed on the dominant annual motion, confirming the Chandler wobble with an average period of approximately 14 months (about 433 days) and amplitudes typically ranging from 0.1 to 0.2 arcseconds. Over subsequent decades, the wobble's amplitude exhibited notable variations, decreasing to around 0.06 arcseconds in the 1920s before increasing again, reflecting the influence of excitation mechanisms not fully understood at the time.^[12]^[14]^[15] In the 1920s, continued ILS observations, processed with improvements by H. Kimura such as the introduction of a z-term correction for non-polar latitude effects, demonstrated that the Chandler wobble manifests as prograde circular motion of the pole, rotating in the same direction as Earth's spin with a radius of about 9 meters at the surface. Specific events during this period highlighted the wobble's elliptical path, with the pole's excursion completing cycles in a westward-to-eastward manner relative to the crust. However, these measurements faced significant challenges, including instrumental limitations like flexure in the zenith telescopes and clock errors, as well as the need for meticulous corrections for atmospheric refraction, which could introduce seasonal biases up to 0.1 arcsecond. Local effects, such as tectonic subsidence at stations like Mizusawa, further complicated interpretations until homogenized data processing addressed them.^[12]^[16]^[15] Data from the latitude stations were processed to compute pole positions by inverting observed latitude changes across the network. For a station at latitude φ, the variation Δφ relates to the pole's x-component displacement x_p (in length units) via the approximation Δφ ≈ -x_p sin φ / R, where R is Earth's mean radius; this geometric relation projects the pole's motion onto the local meridian, with similar formulations for the y-component adjusted by longitude. Monthly pole coordinates were derived by solving a system of these equations from multiple stations, often smoothed over intervals of 0.05 years to filter noise, enabling the first systematic time series of polar motion from 1900 onward.^[12]^[17] The ILS operated until 1982, with its responsibilities transitioning to the International Polar Motion Service (IPMS) established in 1962 and ultimately integrated into the IERS.^[12]

Modern Measurement Techniques

Modern measurement techniques for polar motion rely primarily on space-based geodesy, providing continuous global coverage and precision far surpassing earlier optical methods such as zenith telescopes. These techniques, operational since the late 20th century, include Very Long Baseline Interferometry (VLBI), Satellite Laser Ranging (SLR), and Global Navigation Satellite Systems (GNSS), coordinated through the International Earth Rotation and Reference Systems Service (IERS).^[18] VLBI, initiated for routine polar motion monitoring in 1979 with a dedicated three-station network, measures delays in radio signals from extragalactic sources received at widely separated antennas to determine Earth orientation parameters (EOPs).^[19] This technique offers the absolute reference for polar motion, universal time, precession, and nutation, with observations typically conducted in intensive sessions for high accuracy.^[18] By the 1980s, VLBI became a dominant contributor to IERS polar motion series, enabling determinations at intervals of several days.^[20] SLR complements VLBI by tracking retroreflectors on satellites like LAGEOS-1 and LAGEOS-2, measuring round-trip laser pulse travel times to derive station positions and EOPs, including daily polar motion estimates.^[21] Operational for over two decades in IERS contributions, SLR provides robust scale information for the International Terrestrial Reference Frame (ITRF) and supports polar motion monitoring with sub-milliarcsecond precision when combined with other methods.^[22] Since the 1990s, GNSS—initially GPS through experiments like the 1991-1992 GPS/IERS and GIG'91 campaigns—has enabled real-time and near-real-time polar motion tracking using global receiver networks.^[23] Advancements incorporating GLONASS and Galileo have enhanced multi-constellation processing, improving sub-daily polar motion resolution and reducing systematic errors through denser orbital coverage.^[24] GNSS now delivers continuous daily estimates, with polar motion accuracies approaching 0.1 milliarcseconds in rapid products.^[25] IERS integrates data from VLBI, SLR, GNSS, and Doppler Orbitography and Radiopositioning Integrated by Satellite (DORIS) to produce combined EOP time series, achieving sub-millimeter equivalent accuracy for pole positions via least-squares combination and variance weighting.^[26] These products, such as the EOP C04 series, offer global, uninterrupted monitoring essential for reference frame maintenance.^[27] Specific advancements include e-monitoring systems for rapid service products, providing updates with approximately 10-day latency to support space operations and navigation.^[28] Multi-technique co-location at stations worldwide further refines the International Terrestrial Reference Frame, enhancing polar motion reliability.^[29] Processing these techniques involves corrections for major error sources, including relativistic effects on signal propagation in VLBI, tidal loading from solid Earth and ocean tides, and atmospheric delays (tropospheric and ionospheric) in both VLBI and GNSS observations.^[30] Models like those in IERS Conventions account for these, with tropospheric delays mitigated via mapping functions and GNSS zenith delay estimation, ensuring polar motion uncertainties remain below 100 microarcseconds.^[31]^[32]

Theoretical Components

Annual Motion

The annual motion refers to the yearly oscillation of Earth's rotation pole relative to the crust, manifesting as a retrograde elliptical path in the terrestrial reference frame. This component has a period of approximately 12 months and an amplitude of about 0.1 arcsecond (100 milliarcseconds), equivalent to a surface displacement of roughly 3 meters. The ellipse's orientation aligns with Earth's orbital plane, reflecting the influence of seasonal cycles tied to the planet's revolution around the Sun.^[33]^[34] Mathematically, the annual polar motion coordinates x_p(t) and y_p(t) (in arcseconds, with x along the Greenwich meridian and y along 90° W) can be modeled as

x_p(t) = A \cos(\omega t + \phi), \quad y_p(t) = B \sin(\omega t + \phi),

where \omega = 2\pi / 365.25 radians per day is the angular frequency, A and B are the semi-major and semi-minor axis amplitudes (typically on the order of 50–100 mas each), and \phi is the phase. This formulation yields an elliptical trajectory; the motion is prograde (counterclockwise) in the celestial (space-fixed) frame but appears retrograde (clockwise) in the terrestrial (Earth-fixed) frame due to the planet's daily rotation. The prograde component dominates, with its amplitude roughly 10 times that of the retrograde part.^[34]^[20] The primary drivers are seasonal mass redistributions, including atmospheric loading from surface pressure and temperature variations, as well as hydrospheric changes such as continental snow and rainfall accumulation, sea level fluctuations, and ocean bottom pressure adjustments. Atmospheric effects account for the majority (~70%) of the excitation, with the remainder from oceanic and hydrological sources.^[33]^[2]^[35] This motion shows slight eccentricity in its ellipse, arising from non-sinusoidal seasonal forcings that introduce higher harmonics, and exhibits long-term stability in both amplitude and period, as evidenced by consistent patterns in observational data spanning the 20th and 21st centuries. Unlike the irregular Chandler wobble, the annual motion is a forced response to these predictable external torques.^[20]^[34]

Chandler Wobble

The Chandler wobble represents the dominant free mode of Earth's polar motion, characterized by a nearly circular prograde oscillation of the rotation pole relative to the Earth's crust. This motion has a period of approximately 433 days, equivalent to about 14 months, and an amplitude typically ranging from 0.15 to 0.25 arcseconds (150-250 milliarcseconds), which translates to a displacement of roughly 4.5 to 7.5 meters at the Earth's surface, with variations over time including a diminution after 2015. Discovered in 1891 by American astronomer Seth Carlo Chandler through analysis of latitude variations, the wobble exhibits a slow decay over several decades due to internal dissipation, but it is periodically re-excited to maintain its presence in observations.^[36]^[37]^[4] Theoretically, the Chandler wobble arises as the free nutation of Earth's slightly oblate figure, influenced by the planet's elastic properties. For a rigid, non-deformable Earth, the eigenperiod \tau of this mode is given by

\tau = \frac{A}{C - A}

days, where A is the equatorial moment of inertia and C is the polar moment of inertia (C > A). This yields a theoretical rigid-body period of about 305 days. However, Earth's elasticity, including core-mantle decoupling and oceanic loading effects, lengthens the observed period to around 435 days; these adjustments are quantified using load Love numbers to account for deformation and triaxiality.^[5]^[38] Historically, estimates of the Chandler wobble's period have evolved with improved data and modeling, starting from approximately 14 months (around 420 days) in early 20th-century analyses based on limited astronomical observations, to the modern value of 435 days derived from space-geodetic time series spanning over a century. The amplitude has shown significant variability, with notable peaks reaching about 0.25 arcseconds in the 1920s—coinciding with a major phase jump—and recurring excitations leading to enhanced amplitudes in the 2010s before a recent diminution. These variations highlight the wobble's sensitivity to transient geophysical forcings, though its core characteristics remain stable over long timescales.^[15]^[39]^[4]

Causes and Analysis

Atmospheric and Oceanic Forcing

Atmospheric and oceanic processes drive variations in polar motion through seasonal and irregular redistributions of mass and angular momentum within Earth's fluid envelope. These forcings primarily act on timescales from days to years, exerting torques that alter the rotation axis via exchanges with the solid Earth. Surface pressure changes in the atmosphere, such as those associated with the Aleutian Low in the North Pacific during winter, generate torques through mass loading on the Earth's surface. Similarly, the Asian summer monsoon contributes to polar motion excitation by inducing positive effects on the equatorial components during the first half of the year via regional pressure anomalies. Over oceans, atmospheric pressure fluctuations elicit an inverted barometer response, where sea level adjusts inversely to pressure variations, effectively reducing the net torque from pressure loading but still transmitting signals to polar motion.^[40] Winds further contribute by transferring angular momentum directly to the solid Earth, with equatorial components of atmospheric angular momentum (AAM) correlating strongly with observed polar motion at intraseasonal to annual periods.^[41] Oceanic effects complement atmospheric forcing by redistributing mass and momentum through sea level variations, current fluctuations, and bottom pressure changes. For instance, variations in the Gulf Stream and other western boundary currents modulate oceanic angular momentum (OAM), influencing the prograde annual polar motion component.^[42] Bottom pressure torques, arising from ocean density and circulation anomalies, are particularly significant for intraseasonal excitations, while sea level changes driven by wind and pressure fields contribute to seasonal signals.^[43] Collectively, oceanic processes are a significant contributor to the excitation in the annual polar motion, reinforcing atmospheric signals and improving model fits to observations when included.^[44] These forcings are quantified using excitation functions \chi_1 and \chi_2, which represent the equatorial components of relative angular momentum from AAM and OAM, normalized by the Earth's moments of inertia.^[45] The polar motion response can be approximated by the relation \Delta x_p \approx \frac{\chi_1}{\Omega (C - A)}, where \Omega is Earth's rotation rate, C is the polar moment of inertia, and A is the equatorial moment; a similar form applies for the \chi_2 component.^[46] This linear approximation from the Liouville equation captures the direct transfer of fluid angular momentum to polar motion, with AAM and OAM series derived from reanalysis and ocean general circulation models showing high coherence with observed excitations at annual and Chandler periods.^[41] Specific events highlight the role of coupled atmosphere-ocean phenomena in exciting polar motion. On decadal scales, El Niño-Southern Oscillation (ENSO) modulates polar motion by varying the strength of these excitations, with positive phases enhancing certain components via coherent atmospheric and oceanic signals.^[47] The 2015-2016 El Niño event coincided with the onset of reduced atmospheric excitation of the Chandler wobble, contributing to a persistent decrease in its amplitude observed since around 2015, potentially linked to broader climate variability including disruptions in the quasi-biennial oscillation.^[48] Such forcings illustrate the interplay between fluid dynamics and Earth's rotation, with recent trends suggesting influences from global warming on long-term polar motion behavior.

Internal Earth Dynamics

Internal Earth dynamics play a crucial role in modulating polar motion through interactions at the core-mantle boundary (CMB) and viscoelastic responses within the solid Earth. Core-mantle interactions, particularly electromagnetic and topographic torques, arise from the relative motion between the fluid outer core and the overlying mantle, exchanging angular momentum and influencing decadal-scale variations in polar motion. Electromagnetic coupling generates torques on the order of 5 × 10¹⁹ Nm, sufficient to excite observed decadal polar motions of approximately 10 mas, by inducing currents in the lowermost mantle due to a strong toroidal magnetic field in the D″ layer. Topographic torques from core flows acting on CMB undulations contribute a secular trend of 0.54 mas/year toward 32.8° W, while time-dependent CMB torques drive multidecadal fluctuations of ~10 mas. Additionally, differential rotation of the inner core, with super-rotation rates of 0.05–0.15° per year relative to the mantle, can induce gravitational torques at the inner core boundary (ICB), potentially linking to decadal polar motion variations through alignment with six-year oscillations in length-of-day. These inner core dynamics may explain aspects of the quasi-periodic Markowitz wobble, a long-period mode with a ~30-year timescale, via torques that tilt the inner core by up to 0.07°. Solid Earth processes, including post-glacial rebound (PGR) and viscoelastic relaxation, contribute to long-term polar motion by redistributing mass in response to Pleistocene deglaciation. PGR involves the ongoing uplift of the mantle following ice sheet melting, which alters the Earth's inertia tensor and drives a secular polar drift of approximately 2.65 mas/year toward 72° W, with PGR accounting for the dominant long-term component. Viscoelastic relaxation in the mantle damps these adjustments over millennia, influencing low-frequency polar motion. Sudden events like large earthquakes excite transient polar motion shifts through rapid mass redistributions; for instance, the 2004 Sumatra-Andaman earthquake (Mw 9.1) and the 2011 Tohoku-Oki earthquake (Mw 9.0) induced coseismic polar motion excitations on the order of several mas, corresponding to ~cm-level displacements at the surface, with residual effects persisting due to interseismic deformation. Mantle anelasticity further modulates polar motion by dissipating energy in the Chandler wobble through viscoelastic damping, characterized by a quality factor (Q) of approximately 100–200 at the wobble's period. This anelastic response broadens the Chandler resonance and contributes to its observed decay, with Q models indicating frequency-dependent dissipation that increases from seismic to tidal periods. The torque from core dynamics, expressed as Γ = dL/dt where L is the angular momentum, integrates into the Liouville equation for polar motion, which in its classic form is iΩ m = (1/(C - A)) (L_force + dL_force/dt), describing how internal angular momentum changes (including those from core torques) excite and sustain wobble modes like the Chandler and Markowitz oscillations.

Implications and Applications

Geodetic and Navigational Impacts

Polar motion significantly influences geodetic applications by necessitating precise corrections to Earth Orientation Parameters (EOP) within the International Terrestrial Reference Frame (ITRF). The ITRF, realized through space geodetic techniques such as Very Long Baseline Interferometry (VLBI) and Satellite Laser Ranging (SLR), requires sub-arcsecond accuracy in polar motion estimates to maintain the alignment between celestial and terrestrial reference frames. Without these corrections, systematic errors in station coordinates and global positioning could accumulate, affecting long-term geodetic monitoring and crustal deformation studies. Modern techniques like VLBI achieve polar motion determinations with uncertainties as low as 30 microarcseconds (µas), enabling the ITRF to track variations at the centimeter level over decades.^[49] In navigation, polar motion alters the position of true north by up to approximately 10 meters at the Earth's surface, corresponding to the typical amplitude of the pole's excursion. This shift impacts inertial navigation systems (INS) used in aviation and submarines, where uncorrected EOP can lead to gradual drift in heading and position estimates, particularly during extended missions without external updates. For instance, in high-precision INS, failure to account for polar motion introduces errors in the local vertical and north directions, potentially degrading accuracy by several meters over hours. Similarly, Global Positioning System (GPS) orbit determination relies on accurate EOP; without real-time polar motion updates, satellite ephemerides can exhibit errors exceeding 1 meter in position, compromising navigational reliability for aircraft and maritime operations.^[20]^[50] Polar motion and variations in length-of-day (LOD) are both components of Earth orientation parameters linked by common excitation mechanisms, with LOD variations contributing to differences between Universal Time 1 (UT1) and Coordinated Universal Time (UTC) on the order of ~1 millisecond. These UT1-UTC discrepancies arise from the transverse and axial components of Earth's angular momentum changes, requiring EOP adjustments in precise timekeeping for applications like satellite synchronization. In practice, LOD fluctuations of 1-2 milliseconds, partly excited by the same mechanisms driving polar motion, necessitate ongoing monitoring to avoid cumulative timing errors in global networks.^[2]^[51] Specific applications highlight the operational importance of polar motion corrections, such as real-time EOP predictions for satellite launches, where sub-millisecond UT1 accuracy and milliarcsecond polar motion estimates ensure proper trajectory alignment and pointing. The International Earth Rotation and Reference Systems Service (IERS) provides rapid EOP bulletins to support these needs, reducing prediction errors to ~0.3 milliseconds for UT1-UTC. Historically, the 1964 Alaska earthquake (magnitude 9.2) excited a noticeable shift in polar motion of about 15 centimeters, temporarily disrupting astrometric observations and highlighting the vulnerability of pre-space-geodetic era measurements to seismic forcings.^[52]^[53]

Climate and Earth System Connections

Polar motion exhibits notable connections to climate variability, primarily through the redistribution of mass and angular momentum driven by atmospheric, oceanic, and terrestrial processes. Enhanced amplitudes in the annual component of polar motion since the early 2000s have been linked to Arctic amplification, where regional warming exceeds global averages due to diminishing sea ice cover, which in turn influences atmospheric angular momentum (AAM) and excitation functions. This phenomenon correlates with indices of the North Atlantic Oscillation (NAO) and Arctic Oscillation (AO), as variations in these patterns modulate mid-latitude pressure gradients and wind fields, contributing up to interannual scales of polar motion excitation.^[54] In Earth system models, polar motion serves as an integrated indicator of mass transport within the global water cycle, capturing signals from continental hydrology such as groundwater depletion and terrestrial water storage changes. For instance, analyses using Coupled Model Intercomparison Project Phase 6 (CMIP6) simulations demonstrate that land hydrosphere variations, including those from precipitation anomalies and aquifer drawdown, significantly excite polar motion at seasonal and longer timescales.^[55] These models highlight polar motion's utility in validating coupled climate simulations, where hydrological mass shifts—exacerbated by human activities like irrigation—redistribute Earth's rotational inertia.^[56] Studies from the 2020s have revealed an increasing contribution from hydrological processes to polar motion excitation amid global warming, with continental water storage losses amplifying signals through altered AAM and oceanic mass redistribution. For example, permanent shifts in terrestrial water storage since the early 21st century, driven by accelerated evaporation and depletion, have been quantified as key drivers of low-frequency polar motion changes.^[57] These findings underscore links to broader warming trends, where enhanced hydrological variability—such as intensified monsoons and drought patterns—alters global AAM budgets, contributing to observed excitation enhancements.^[58] Long-term secular polar drift, historically toward Canada at approximately 3.5 mas/year due to postglacial rebound (PGR), has accelerated in recent decades owing to ice sheet melting in Greenland and Antarctica, redirecting the pole eastward.^[59] Projections under climate scenarios indicate continued drift through 2100, with potential displacements of up to 27 meters relative to 1900 positions in high-emission pathways, primarily from ongoing ice mass loss and associated sea-level rise.^[60]

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Apr 26, 2022 · Applying tropospheric ties at VLBI–GNSS co-locations enhances the observation geometry and improves the solution reliability.Improving Vlbi Analysis By... · 3 Results And Discussions · 3.1 Vlbi Station Coordinates...
[31]
The IERS EOP 14C04 solution for Earth orientation parameters ...
Aug 16, 2018 · They are now reduced to less than 100 \upmu as for polar motion, 10 \upmu s for UT1, and 50 \upmu as for nutation offsets, but they are still ...
[32]
Polar Motion - an overview | ScienceDirect Topics
According to the IERS Conventions 2010 (Petit and Luzum, 2010) “polar motion is the motion of the Earth's pole w.r.t. the ITRS1”, more precisely, of the Earth' ...
[33]
Variable Chandler and Annual Wobbles in Earth's Polar Motion ...
Oct 4, 2016 · 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 ...
[34]
Polar motion excitations for an Earth model with frequency ...
Aug 3, 2013 · This study aims to improve the polar motion theory by developing refined frequency-dependent transfer functions with the most current models for ocean tides.
[35]
Seth Carlo Chandler Jr.: The Discovery of Variation of Latitude
Chandler had extended his observations with the Airnucantar after the publication of his paper ... polar motion, was discovered by Seth Carlo Chandler Jr. Others ...
[36]
A Mystery of Earth's Wobble Solved: It's the Ocean
Jul 18, 2000 · Its period is only around 433 days, or just 1.2 years, meaning that it takes that amount of time to complete one wobble.Missing: discovery | Show results with:discovery
[37]
Formula for the Chandler Period (Free Wobble of Planetary Bodies)
Apr 11, 2025 · One type of such motion is the Chandler wobble: a cyclic change in the rotation pole's position with a period of about 433 days on Earth.
[38]
Chandler wobble: two more large phase jumps revealed
In this paper, we perform detailed investigation of the IERS Pole motion data to finally confirm that preliminary finding. Our study consists of three steps: ...
[39]
Diminished Chandler Wobble After 2015: Link to Mass Anomalies in ...
Sep 21, 2025 · The amplitude of Chandler Wobble greatly diminished after 2015, and this unprecedented event suggests an attenuation cause by large scale ...
[40]
Atmospheric Excitation of Polar Motion - NASA ADS
The SBA calculates the polar motion excitation functions from three of these centers. Information regarding the 7 data sets thus produced is given in Table ...
[41]
Patterns of atmospheric excitation functions of polar motion from ...
Apr 17, 2009 · [2] Atmospheric excitation of polar motion occurs by means of angular momentum exchange with the solid Earth. The equatorial components of this ...
[42]
Oceanic effects on polar motion determined from an ocean model ...
Feb 26, 2004 · Mass redistribution and motion in the oceans are major driving forces of geodetic variations, including polar motion, length of day, ...
[43]
Oceanic excitations on polar motion: a cross comparison among ...
In this study, we analyse and compare observed non-atmospheric polar motion excitations with OAM variations determined from four OGCMs: the POCM, BOM, ECCO-NDA ...
[44]
Oceanic influence on the annual polar motion - ResearchGate
Oceanic contributions to the seasonal wobbles of polar motion are evaluated using three different ocean circulation models: (a) the Parallel Ocean Climate ...
[45]
Atmospheric and oceanic excitation of the polar motion and length of ...
The tool computes Earth rotation excitation functions, comparing them to atmospheric and oceanic functions, using pole coordinates and length of day changes.
[46]
Further evidence for oceanic excitation of polar motion
Summary. While the role of the atmosphere in driving variations in polar motion is well established, the importance of the oceans has been recognized only.
[47]
[PDF] Excitation of the Earth's Chandler Wobble by Southern Oscillation ...
It consists of two monthly time series: the x-component along the Greenwich meridian and the y-component along the 90°E longitude. Spanning 80 years from 1900 ...
[48]
ENSO Modulates the Oceanic Excitation of Polar Motion
Specifically, during an El Niño event, water moves away from the Indian Ocean and the coast of Australia to spread across the Pacific Ocean. As a result, the ...
[49]
[PDF] FUTURE IMPROVEMENTS IN DETERMINATIONS OF EARTH ...
DETERMINATIONS OF. EARTH ORIENTATION PARAMETERS. • Present polar motion accuracy. – about 30 µas mostly from GPS about 30 µas, mostly from GPS. • Present UT1 ...
[50]
Performance evaluation of real-time orbit determination for LUTAN ...
Dec 29, 2023 · The root-mean-square (RMS) errors of GPS broadcast EOPs are 0.96 mas for polar motion and 0.15 ms for UT1-UTC. In contrast, the RMS values ...
[51]
Modeling UT1‐UTC and Polar Motion On‐Board GPS Satellites - 1984
Results show that UT1-UTC errors of approximately 40 ms occur over six months when three-year data bases are used. Polar motion contributes another .02 arcsec ...
[52]
IERS Bulletins
**Summary of IERS Products for Earth Orientation Parameters:**
[53]
[PDF] INFLUENCE OF THE EARTHQUAKES ON THE POLAR MOTION ...
Dec 26, 2004 · As comparison, the Alaska event (1964) of magnitude 9.2 has produced a shift of 15 cm according to the Dahlen model (see Fig. 3). With the ...
[54]
Interannual polar motion with relation to the North Atlantic Oscillation
The present paper studies the relation of NAO with interannual polar motion. Two monthly series for the period of 1964–1994 are employed.Missing: percentage | Show results with:percentage
[55]
Hydrological excitation of polar motion determined from CMIP6 ...
In this study, we use the chosen climate models to assess the role of land hydrosphere changes in polar motion.
[56]
Drift of Earth's Pole Confirms Groundwater Depletion as a Significant ...
Jun 15, 2023 · Earth's pole has drifted toward 64.16°E at a speed of 4.36 cm/yr during 1993–2010 due to groundwater depletion and resulting sea level rise ...Missing: transport cycle
[57]
Abrupt sea level rise and Earth's gradual pole shift reveal ... - Science
Mar 27, 2025 · Variations in GMSL observed by satellite altimeters are likely an important indicator of permanent TWS changes, because ocean mass increases as ...
[58]
Changes in the Global Climate: Atmospheric Angular Momentum ...
AAM is a measure of the rotation of the atmosphere about Earth's axis and is altered through exchanges with the solid Earth also rotating about its axis ( ...Missing: motion | Show results with:motion
[59]
Secular polar motion observed by GRACE - PMC - NIH
PM observations show an evident Chandler wobble, the Eulerian free wobble with about 14-month period. Annual and interannual PM variations are forced by ...
[60]
Climate‐Induced Polar Motion: 1900–2100 - AGU Journals - Wiley
Mar 5, 2025 · These movements span all measurable time scales, from subdaily to geological. Short periods up to the Chandler wobble (period of 433 days) ...