The modification of the singular spectral analysis basic method for improving the accuracy of forecasting the irregularity of the Earth rotation

2020 ◽  
pp. 54-65
Author(s):  
Александр Кузьмич Гречкосеев ◽  
Александр Сергеевич Толстиков ◽  
Виктор Мартынович Тиссен ◽  
Виталий Сергеевич Карманов ◽  
Анна Игоревна Ваганова
Keyword(s):  
Spectral Analysis ◽  
Earth Rotation ◽  
Forecast Accuracy ◽  
Basic Method ◽  
Earth’S Rotation ◽  
Earth's Rotation ◽  
Coordinate Time ◽  
Singular Spectral Analysis ◽  
The Earth ◽  
Rotation Parameters

Растущие потребности в точности координатно-временных определений со стороны многих прикладных наук о Земле и практических задач приводят к необходимости постоянного совершенствования средств и методов определения и прогнозирования параметров вращения Земли. Параметр “всемирное время”, характеризующий фазу вращения Земли, в наибольшей степени среди других влияет на точность координатно-временных определений. В данной статье приводится описание применения метода сингулярного спектрального анализа к прогнозированию временных рядов параметров вращения Земли. Предлагается модификация базового метода, направленная на повышение точности прогноза. Выполнены сравнительные оценки точности прогнозов всемирного времени, рассчитанных методом сингулярного спектрального анализа, с аналогичными прогнозами Международной службы вращения Земли. Показана целесообразность применения метода сингулярного спектрального анализа для прогнозирования на интервалы более 50 дней Growing demand for accuracy of coordinate-time determinations from both many applied Earth sciences and practical problems requires the continuous improvement of means and methods for determining and predicting the parameters of the Earth rotation. Parameter “World time” characterizes phase of the Earth’s rotation and mostly affects the accuracy of coordinate-time determinations. This article describes application of method of singular spectral analysis for forecasting the time series of the Earth’s rotation parameters. We propose modification of basic method, which aims at increasing forecast accuracy. We made comparative estimates for accuracy of world time forecasts calculated by the method of singular spectral analysis with similar forecasts by the International Earth Rotation Service. The expediency of using the method of singular spectral analysis for predicting intervals of more than 50 days is shown

Estimating variations in Earth rotation using GPS, GLONASS, and Galileo

2021 ◽  
Author(s):  
Radosław Zajdel ◽  
Krzysztof Sośnica ◽  
Grzegorz Bury ◽  
Kamil Kazmierski
Keyword(s):  
Earth Rotation ◽  
High Frequency ◽  
Low Frequency ◽  
Earth’S Rotation ◽  
Earth's Rotation ◽  
The Earth ◽  
Earth Rotation Parameters ◽  
Space Geodetic Techniques ◽  
Rotation Parameters ◽  
Frequency Variations

<p>Variations in the Earth's rotation can be examined in the low-frequency and high-frequency temporal scales. The low-frequency variations are dominated by the annual and Chandler wobbles, while the high-frequency variations are primarily caused by tidal effects and mass redistributions within the system Earth. Depending on the purpose, the Earth Rotation Parameters (ERPs) can be estimated in different time resolutions using space-geodetic techniques, especially using GNSS. However, the residual signals between different space geodetic techniques or satellite constellations indicate system-specific differences, which have to be correctly identified.</p><p>This research provides the daily, and sub-daily series of Earth Rotation Parameters (ERPs) estimated using GPS, GLONASS, and Galileo observations. We test different sampling intervals of estimated ERPs from 1h to 24h. The GNSS-based sub-daily estimates have been compared with the external models of variations in ERPs induced by the ocean tides from the IERS 2010 Conventions, a new model by Desai-Sibois, and the VLBI-based model by Gipson.</p><p>Any system-specific ERPs are affected by the orbital and draconitic signals. The orbital signals are visible in all system-specific ERPs at the periods that arise from the resonance between the Earth's rotation and the satellite revolution period, e.g., 8.87h, 34.22h, 3.4 days, 10 days for Galileo; 7.66h, 21.29h, 3.9 days, 7.9 days for GLONASS; 7.98h (S3 tidal term), 11.97h (S2 tidal term), 23.93h (S1 tidal term) for GPS. In the Galileo and GLONASS solutions, the artificial non-tidal signals' amplitudes can reach up to 30 µas. The GPS-derived sub-daily ERPs suffer from the overlapping periods of the diurnal and semidiurnal tidal terms and the harmonics of the GPS revolution period. After recovery of 38 sub-daily tidal terms, the Galileo-based model is more consistent with the external models than the GPS-based model, especially in the prograde diurnal band. The results confirmed that the Desai–Sibois model is more consistent with GNSS observations than the currently recommended model by the IERS 2010 Conventions. Moreover, GPS-based length-of-day (LoD) is systematically biased with respect to the IERS-C04-14 values with a mean offset of −22.4 µs/day, because of the deep resonance 2:1 between the satellite revolution period and the Earth rotation. The Galileo-based and GLONASS-based solutions are almost entirely free of this issue. Against the individual system-specific solutions, the multi-GNSS solution is not affected by most of the system-specific artifacts. Thus, multi-GNSS solutions are clearly beneficial for the estimation of both daily and sub-daily ERPs.</p>

scholarly journals Basic Problems in the Kinematics of the Rotation of the Earth

1979 ◽  
Vol 82 ◽  
pp. 7-18 ◽  
Author(s):  
Bernard Guinot
Keyword(s):  
Earth Rotation ◽  
Rotation Axis ◽  
Earth’S Rotation ◽  
International Astronomical Union ◽  
Earth's Rotation ◽  
The Earth ◽  
International Astronomical ◽  
Rotation Of The Earth

With the advent of more precise methods for measuring Earth rotation, a number of corrections to the apparent directions in space, to the terrestrial references, and to the rotation axis motion have to be carefully applied. It is the duty of the international Astronomical Union to give recommended or conventional expressions of these corrections in order to avoid inextricable difficulties in discussing the evaluated results. However, this task is not sufficient. The concepts used in the description of the Earth's rotation are somewhat obscured by traditions. They should be purified by removing notions which are not directly relevant.

Commission 19: Rotation of the Earth (Rotation De La Terre)

1988 ◽  
Vol 20 (1) ◽  
pp. 179-194
Author(s):  
W. J Klepczynski ◽  
M. Feissel ◽  
B. Kolaczek ◽  
F. E Barlier ◽  
P. Brosche ◽  
...  
Keyword(s):  
Rotation Rate ◽  
Earth Rotation ◽  
Earth’S Rotation ◽  
International Earth Rotation Service ◽  
Earth's Rotation ◽  
Core Mantle Boundary ◽  
The Core ◽  
The Earth ◽  
Rotation Of The Earth ◽  
Observing Techniques

During the period, there have been several major events which have effected the scope and interest of Commission 19. The most significant of these has been the dissolution of the BIH and IPMS and their replacement by the International Earth Rotation Service (IERS). The correlation of higher frequency fluctuations in the Earth’s rotation rate with changes in the Earth’s Atmospheric Angular Momentum is also significant. Many investigators now seem to believe that the “decade variations„ in the Earth’s rotation rate are caused by torques between the core and mantle caused by the uneven motions at the core-mantle boundary. These events and discoveries have made this an exciting period. It seems that the future holds more in the way of discovery due to the utilization of the more accurate and precise Earth rotation data coming from the modern observing techniques.

scholarly journals Japanese VLBI Project - VERA

1988 ◽  
Vol 129 ◽  
pp. 483-484
Author(s):  
Mitsumi Fujishita ◽  
Tadayoshi Hara
Keyword(s):  
Earth Rotation ◽  
Earth’S Rotation ◽  
Earth's Rotation ◽  
Regular Monitoring ◽  
The Earth ◽  
Rotation Study

The Japanese VLBI project VERA (VLBI for the Earth Rotation study and Astrometry) is being designed. It will be dedicated to regular monitoring of the Earth's rotation and astrometry. VERA will be composed of two antennas spanning about 2300km and a correlator of multi-station capability. The diameters of the antennas are 35m and 15m.

scholarly journals The effect of earthquakes on the ERP during 1977–1985

1988 ◽  
Vol 128 ◽  
pp. 399-404 ◽  
Author(s):  
Richard S. Gross
Keyword(s):  
Earth Rotation ◽  
The Earth ◽  
Time Period ◽  
Earth Rotation Parameters ◽  
Rotation Parameters ◽  
Large Earthquakes

The effect on the Earth Rotation Parameters (ERP) of all the large earthquakes that occurred during 1977–1985 is evaluated. It is found that they cannot have caused the variations observed in the ERP during this time period.

scholarly journals Specific Formation of the Bermuda and Dragon Triangles as a Result of a Change in the Axis of the Earth’s Rotation

2020 ◽  
pp. 19-25
Keyword(s):  
South America ◽  
Southeast Asia ◽  
Earth’S Rotation ◽  
Earth's Rotation ◽  
Axis Of Rotation ◽  
The Earth ◽  
Rotation Of The Earth ◽  
North And South America ◽  
North And South

The Bermuda Triangle is located in the area of the archipelago between North and South America and the Dragon Triangle is located in the area of the archipelago in Southeast Asia. There is a great resemblance between these two triangular areas; both were formed following special geological and tectonic conditions. It is herein proposed that their creation stems from the change in location of the axis of rotation of the earth and, accordingly, the change in the location of the equator.

Addendum 2020 to ‘Measurement of the Earth’s rotation: 720 BC to AD 2015’

2021 ◽  
Vol 477 (2246) ◽  
pp. 20200776
Author(s):  
L. V. Morrison ◽  
F. R. Stephenson ◽  
C. Y. Hohenkerk ◽  
M. Zawilski
Keyword(s):  
Angular Momentum ◽  
Earth’S Rotation ◽  
The Sun ◽  
Earth's Rotation ◽  
Moon System ◽  
Link Type ◽  
The Earth ◽  
Solar Eclipses ◽  
Rotation Of The Earth

Historical reports of solar eclipses are added to our previous dataset (Stephenson et al. 2016 Proc. R. Soc. A 472 , 20160404 ( doi:10.1098/rspa.2016.0404 )) in order to refine our determination of centennial and longer-term changes since 720 BC in the rate of rotation of the Earth. The revised observed deceleration is −4.59 ± 0.08 × 10 −22  rad s −2 . By comparison the predicted tidal deceleration based on the conservation of angular momentum in the Sun–Earth–Moon system is −6.39 ± 0.03 × 10 −22  rad s −2 . These signify a mean accelerative component of +1.8 ± 0.1 × 10 −22  rad s −2 . There is also evidence of an oscillatory variation in the rate with a period of about 14 centuries.

scholarly journals Commission 19: Rotation of the Earth

1985 ◽  
Vol 19 (1) ◽  
pp. 193-205 ◽  
Author(s):  
Ya. S. Yatskiv ◽  
W. J. Klepczynski ◽  
F. Barlier ◽  
H. Enslin ◽  
C. Kakuta ◽  
...  
Keyword(s):  
Time Frame ◽  
Laser Ranging ◽  
Earth’S Rotation ◽  
The Moon ◽  
Earth's Rotation ◽  
The Earth ◽  
Long Time ◽  
Terrestrial Reference System ◽  
Rotation Of The Earth

During the period, work on the problem of the Earth’s rotation has continued to expand and increase its scope. The total number of institutions engaged in the determination of the Earth’s rotation parameters (ERP) by different techniques has been increased significantly. The rotation of the Earth is currently measured by classical astrometry, Doppler and laser satellite tracking, laser ranging of the Moon, and radio interferometry. Several long time series of the ERP are available from most of these techniques, in particular, those made during the Main Campaign of the MERIT project. The various series have been intercompared and their stability, in the time frame of years to days, has been estimated for the purposes of establishing a new conventional terrestrial reference system (COTES). On the other hand, the difficulties of maintaining a regular operation for laser ranging to the Moon (LLR) have been recognized. It resulted in the proposal to organize an one-month campaign of observations in 1985 in order to complement the COTES collocation program and to allow additional intercomparisons with other techniques.

scholarly journals Procedure for VLBI Estimates of Earth Rotation Parameters Referred to the Nonrotating Origin

1991 ◽  
Vol 127 ◽  
pp. 77-84 ◽  
Author(s):  
N. Capitaine ◽  
A.M. Gontier
Keyword(s):  
Earth Rotation ◽  
Partial Derivatives ◽  
The Earth ◽  
Earth Rotation Parameters ◽  
Vlbi Data ◽  
Rotation Parameters ◽  
Derivatives Of ◽  
Rotational Transformation

AbstractThis paper investigates the practical use of the nonrotating origin (NRO) (Guinot 1979) for estimating the Earth Rotation Parameters from VLBI data, which is based on the rotational transformation between the geocentric celestial and terrestrial frames as previously derived by Capitaine (1990). Numerical checks of consistency show that the transformation referred to the NRO is equivalent to the classical one referred to the equinox and considering the complete “equation of the equinoxes” (Aoki & Kinoshita 1983). The paper contains the expressions for the partial derivatives of the VLBI geometric delay to be used for the adjustment of the pole coordinates, UT1 and deficiencies in the two celestial coordinates of the Celestial Ephemeris Pole (CEP) in the multiparameters fits to VLBI data. The use of the NRO is shown to simplify the estimates of these parameters and to free the estimated UT1 parameter from the model for precession and nutation.

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