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1.
Models of the motion of the terrestrial reference frame with respect to an inertial frame can describe the motions of the Earth-Moon system, which are traditionally separated into precession, nutation, the polar motion, and rotation about the Earth’s axis. Existing theoretical models do not describe variations in the Earth-orientation parameters with the required accuracy, so that the current polar coordinates and duration of the day must be determined from observations. To improve theoretical models for the time dependence of the coordinates of the Earth’s pole, we examine the possible excitation of the Chandler wobble due to internal properties of the Earth-Moon system. A differential equation describing the parametric resonance in the Earth-Moon system is obtained for the first region of the parametric excitation. The solution of this equation analytically describes the finite amplitudes of the nonlinear conservative system. The theoretical results are compared with the empirical laws of Melchior deduced from observational data on the coordinates of the Earth’s pole. 相似文献
2.
Perturbed, rotational-oscillational motions of the Earth induced by the gravitational torques exerted by the Sun and Moon are studied using a linear mechanical model for a viscoelastic rigid body. A tidal mechanism is identified for the excitation of polar oscillations, i.e., for oscillations of the angular-velocity vector specified in a fixed coordinate frame, attributed to the rotational-progressive motion of the barycenter of the Earth-Moon “binary planet” about the Sun. The main features of the oscillations remain stable and do not change considerably over time intervals significantly exceeding the precessional period of the Earth’s axis. A simple mathematical model containing two frequencies, namely, the Chandler and annual frequencies, is constructed using the methods of celestial mechanics. This model is adequate to the astrometric measurements performed by the International Earth Rotation Service (IERS). The parameters of the model are identified via least-squares fitting and a spectral analysis of the IERS data. Statistically valid interpolations of the data for time intervals covering from several months to 15–20 yr are obtained. High-accuracy forecasting of the polar motions for 0.5–1 yr and reasonably trustworthy forecasting for 1–3 yr demonstrated by observations over the last few years are presented for the first time. The results obtained are of theoretical interest for dynamical astronomy, geodynamics, and celestial mechanics, and are also important for astrometrical, navigational, and geophysical applications. 相似文献
3.
Chandler oscillations of the Earth’s pole in the presence of fluctuational dissipative perturbations
Effects of fluctuational dissipative perturbations on the Earth’s polar motion due to random components of the centrifugal potential are studied using a numerical-analytical approach. A combined model for the polar fluctuations is used to take into account stochastic components of the polar tides. Fluctuations excited at frequencies close to the Chandler frequency are analyzed using observations of sea level and the gravitional acceleration. Equations describing the correlation characteristics of the polar motions are presented. 相似文献
4.
A numerical–analytical approach is used to investigate irregular effects in oscillations of the Earth’s pole related to variations in the Chandler and annual components. An approach to studying oscillations in the motion of the Earth’s pole based on a joint analysis of the Chandler and annual components of this motion is proposed. A transformation to a new coordinate system in which the motion of the pole is synchronous with the precession of the lunar orbit can be found in this approach. Estimates of the precision of predictions of the coordinates of the Earth’s pole taking into account additional terms due to lunar perturbations are presented.
相似文献5.
L. D. Akulenko Yu. G. Markov V. V. Perepelkin L. V. Rykhlova A. S. Filippova 《Astronomy Reports》2013,57(5):391-399
A mathematical model for rotational-oscillatory motions of the Earth is constructed by applying celestial mechanics to the spatial problem of the Earth-Moon system subject to the Sun’s gravitation. Some basic phenomena associated with tidal irregularity in the Earth’s axial rotation and the polar oscillations are studied. It is shown that the perturbing component of the gravitational-tidal forces orthogonal to the plane of the lunar orbit is responsible for some short-term perturbations in the Moon’s motion. The constructed model for the rotational-oscillatory motions of the deformable Earth includes both the main high-amplitude perturbations and more complex small-scale motions attributed to short-term lunar perturbations with combinational frequencies. Numerical modeling (interpolation and forecasting) of the Earth rotation parameters within various time intervals based on astrometric data obtained by the International Earth Rotation Service is presented. 相似文献
6.
A differential correlation model for oscillations of the Earth’s pole is constructed. The model has gravitational-tidal, additive and parametric, slowly varying, harmonic (at the Chandler frequency and double this frequency), and random Gaussian, broadband perturbations. Special attention is paid to the analysis of trends and the amplitude-frequency characteristics of stochastic oscillations of the Earth’s pole. Numerical simulations show that first-approximation equations can be used to estimate the correlation characteristics of oscillations of the Earth’s pole to within 10%. The results of the model are compared with the results of statistical modeling of oscillations at the Chandler frequency. The model represents a base of informational resources for analytical modeling of the motion of the Earth’s pole over intervals of three to five years. 相似文献
7.
N. S. Sidorenkov 《Astronomy Reports》2000,44(6):414-419
The paper presents calculated spectra of El Niño Southern oscillation (ENSO) indices. The ENSO spectra have components with periods that are multiples of the Earth’s free (1.2 years) and forced (18.6 years) nutation periods. Analysis of a 41-year series of exciting functions for the atmospheric angular momentum confirms the existence of such periodicity. Nutation waves responsible for the El Niño phenomena in the ocean, the Southern oscillation in the atmosphere, and the presence of subharmonics of the Chandler period (1.2 years) and superharmonics of the lunar period (18.6 years) in the ENSO spectra are described. A model for the nonlinear nutation of the Earth-ocean-atmosphere system is constructed. In this model, the ENSO, acting at frequencies of combinational resonances, excites the Chandler wobble of the Earth’s poles. At the same time, this wobble interacts with the nutation motions of the atmosphere and World Ocean. 相似文献
8.
《Russian Geology and Geophysics》2016,57(7):1099-1110
The three problems composing the astronomical theory of paleoclimate have been solved in a new way. Two of them (changes in the orbital motion of the Earth and its insolation) have confirmed the results of previous research. In the third problem (a change in the rotational motion of the Earth), the obtained oscillations of the Earth’s rotation axis have an amplitude seven–eight times higher than the earlier estimated one. They lead to changes in insolation, which explain the paleoclimatic fluctuation. The changes in insolation and its structure for 200 kyr are considered. It is shown that the Late Pleistocene key events in West Siberia, for example, the last glaciations and warming between them, coincide with the extremes of insolation. The insolation periods of paleoclimatic changes and their characteristics are given. 相似文献
9.
Deviation of the major axis of the inertia ellipsoid of the Moon from the direction toward the Earth
B. P. Kondratyev 《Astronomy Reports》2017,61(8):709-714
It is known from observations that the center of mass of the Moon does not coincide with the geometric center of its figure, and the line connecting these two centers is not aligned with the direction toward the center of the Earth, instead deviating toward the Southeast. This stationary deviation of the axis of the inertia ellipsoid of the Moon to the South of the direction toward the Earth is analyzed. A system of five linear differential equations describing the physical libration of the Moon in latitude is considered, and these equations are derived using a new vector method taking into account perturbations from the Earth and partly from the Sun. The characteristic equation of this system is obtained, and all five oscillation frequencies are found. Special attention is paid to the fifth (zero) frequency, for which the solution of the latitude libration equations are stationary and represents a previously unknown additional motion of the rotational axis of theMoon in a cone with a small opening angle. In contrast to the astronomical precession of the Earth, the rotation of the angular-velocity vector is in the positive direction (counter-clockwise), with the period T 3 = 27.32 days. On this basis, this phenomenon has been named “quasi-precession.” This quasi-precession leads to a stationary inclination of the major axis of the inertia ellipsoid of theMoon to the South (for an observer on Earth), making it possible to explain one component of the observed deviation of the center of mass of the Moon from the direction toward the Earth. The opening angle of the quasiprecession cone is approximately 0.834″. 相似文献
10.
A theoretical and quantitative analysis of the earth's polar motion, the Chandler wobble and the polar wandering was made under a triaxial, quasi-rigid and rotationally imbalanced earth model and the assumption that the polar excitation was due to the episodic energy perturbation in the earth's upper layers. The Chandler wobble was found to have two frequency components and was quasi-permanent; whereas the polar wandering linked dynamically with the secular tectonic movements in the earth's upper layers. The attempt of the earth to damp its products of inertia for rotation stability maintained the polar motion, while the polar wandering would produce a system of Coriolis torques that provided driving mechanisms to the continental drift, sea-floor spreading and related phenomena, as well as inducing viscous flows in the interior. The secondary deformation due to the earth's non-rigidity was not analyzed in the paper, but the probable connections between the dynamics of polar wandering and the thermal convection in the interior were briefly discussed. The analysis presents the attempt for an integral interpretation of the earth's dynamic evolution or an interpretation of the polar motion, plate tectonics, and the earth's generation and dissipation of excess energy under a unified dynamic theory. 相似文献
11.
The main force and parametric actions on oscillations in the Earth-Moon system are compared. Parametric excitations due to external periodic changes in the distance between the Earth’s and Moon’s centers of mass occur in a limited number of frequency intervals. We demonstrate the role of a nonlinear parameter that limits the oscillation amplitudes, and compute the frequency interval for excitations near the Chandler frequency. 相似文献
12.
Effects of instability of the Earth and celestial coordinate systems on Earth orientation parameters
Unknown secular and long-term changes in the Earth orientation parameters attributed to instability (possible rotation) of both the Earth and celestial coordinate systems (ECS and CCS) are studied. Rotation of the CCS due to changes in the coordinates of extragalactic sources resulting from gravitational lensing can lead to errors of the order of several microarcseconds in the orientation parameters. The rotation of the ECS due to the crust pressing on the mantle diminishes the tidal retardation of the Earth's rotation and produces long-term variations in the duration of the day (with a period of about 1500 years) and in the motion of the pole relative to the Earth's surface. 相似文献
13.
Historical to up‐to‐date data of the minute variations in the solid Earth's rotation are subjected to a comprehensive time‐frequency wavelet analysis. The length‐of‐day for the period 1962–2012 confirms the presence of a prominent, robust 6‐year periodicity and reveals an anomalously strong 18.6‐year tidal oscillation as well as a ~13‐year quasi‐periodic signal. The polar‐motion excitation for the period 1900–2012 validates the existence of the ~26‐year Markowitz wobble and shows an ~8‐year quasi‐periodic signal, but no appreciable 18.6‐year periodicity. Although it is known that exchanges of angular momentum with the geophysical fluids are responsible for the rotational variations of the solid Earth, the exact physical mechanisms involved on interannual‐to‐decadal timescales are still far from understood. 相似文献
14.
Assuming that the observed periodic variations of pulsar emission are due to the free precession of the spin axis, we investigate the evolution of the rotation of a two-layer neutron star using the Hamiltonian method of Getino. We model the dynamical characteristics of a rotating neutron star using the observed variations of the emission of seven pulsars. We estimate the dependence of the period of the Chandler wobble, the period of precession of the spin axis, and the dynamical ellipticity of a neutron star on the model used to describe the super-dense neutron matter and the mass of the star. 相似文献
15.
Yu. G. Markov V. V. Perepelkin L. V. Rykhlova A. S. Filippova Nguen Le Zung 《Astronomy Reports》2014,58(3):194-203
An amplitude-frequency analysis of a few-parameter model for intraday oscillations of the Earth’s pole induced by gravitational-tidal torques exerted by the Sun and the Moon is presented. The characteristic features of the intraday oscillations in the polar coordinates are found using the dynamical Euler-Liouville equations, taking into account irregular perturbations. The modeling results for the polar motion are compared with high-accuracy VLBI observations over short time intervals. An amplitude-frequency analysis of the polar oscillations and the second zonal harmonic c 20 of the geopotential is presented. 相似文献
16.
17.
Years-long data series of Earth’s natural pulse electromagnetic fields (EPEMF) from the Talaya station near Lake Baikal indicates their mainly terrestrial origin and includes a component of poorly understood stable diurnal and annual crustal rhythms. The short-period crustal motion may drive mechanic-to-electric conversion in rocks and be responsible for diurnal and annual VLF electromagnetic pulses.The lithospheric rather than atmospheric origin of many recorded EPEMF signals is supported by their links with nucleation of earthquakes and respective perfect match of the EPEMF and seismicity diurnal patterns. Joint spectral analysis of the Talaya EPEMF and seismicity time series and comparison with the known spectra of lunar and solar tides shows no direct correlation between the short-period rhythms and the gravitation effects.We suggest that the diurnal and annual EPEMF periodicity may be associated with differential motion of the core and lithosphere and use this hypothesis to model an annual core path. As the model predicts, the inner solid core is never at the Earth’s geometric center but moves relative to the latter along a closed orbit; the plane of the core orbit is normal to the equatorial plane and tilted 45° to the direction to the Sun and to the Earth’s orbit; the core rotates 1.1 deg/yr faster than the Earth. The suggested model of core motion is consistent with the known instability of Earth rotation. 相似文献
18.
When the coupled Earth-Moon system is considered rather than a closed terrestrial system (the Earth's atmosphere, ocean, inner and outer cores, and mantle), an eigenfrequency of free oscillations of the Earth is transformed into an eigenfrequency of the Earth-Moon system, making it possible to understand the increase in the Chandler period in a natural way. The eigenmodes of the coupled Earth-Moon system are determined by solving a linear, homogeneous set of equations with two degrees of freedom. 相似文献
19.
中国地壳运动观测网络在地球科学研究中的应用前景 总被引：1，自引：1，他引：1
简要地介绍了中国地壳运动观测网络的概况和目前的进展,论述了地壳运动观测网络在地球科学研究中的重要作用和应用前景。其应用潜力主要体现在:①在中国地壳运动监测研究中发挥重要作用,成为中国地震预测预报研究的重要基础;②为地球动力学研究提供重要的依据;③建立维持ITRF地球参考框架、研究地球自转、极移和章动及变化;④精化、加密全国大地网和大地水准面;⑤在气象学中的应用;⑥研究电离层电子浓度及其变化规律;⑦提供精密近实时的GPS轨道参数;⑧为广域差分定位奠定基础。 相似文献
20.
It is shown that small glitches in the rotation period of the pulsar B1822-09 can be explained by changes in the shape of the neutron star when the shape becomes inconsistent with the rotation axis, i.e., when the symmetry axis does not coincide with the instantaneous rotation axis. Due to variations of the angle between the rotation axis and the instantaneous dipole axis due to the decreasing momentum, the angle α between the rotation axis and the symmetry axis differs from zero. As a result of mechanical stress that develops in the neutron-star crust, this angle reaches its maximum value α ≈ 2 × 10?4, then returns to zero. This change in the shape of the neutron star is observed as a slow glitch in the frequency of the pulsar’s rotation. 相似文献