Differentation of the rotational movements of the European continents Earth crust

Tretyak, K.

doi:10.13168/agg.2015.0046

Cited by 5 publications

(4 citation statements)

References 2 publications

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“…Depending on the number of points, we will have double the number of equations, so the number of equations is always bigger than the number of unknowns (when n ≥ 2, where n is the number of points). In this regard, the determination of unknown parameters ( Ω , Φ, Λ) is performed by the least squares method [Tretyak and Vovk, 2016].…”

Section: Methods Of Determination Of Angular Velocity and Euler Pole mentioning

confidence: 99%

Geodynamics

Tretyak¹,

Al-Alusi²,

Babiy³

2018

ГЕОДИНАМІКА

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The purpose of this work is elaboration of the results of long-term GNSS-observations at permanent stations located on the Antarctic tectonic plate; the determination of the change in its rotational parameters and angular momentum, the calculation of the angular momentum of the Earth, the oceanic and atmospheric masses, and the establishment of the interrelationship between these parameters. Methods. The work represents an improved algorithm for determining the parameters of the Euler pole and the angular velocity of the tectonic plate, taking into account the continuity and unevenness of time series of daily solutions of the spatial location of permanent GNSS-stations. Results. According to the results of daily solutions of 28 permanent GNSS-stations in Antarctica for the period (1996-2014), the average position of Euler pole, the angular velocity of the plate, and their annual changes are determined. The annual parameters of the tensor of inertia and angular momentum of the Antarctic tectonic plate are determined. Using the data of the Earth's rotation service and geophysical observations, the annual changes in the angular momentum of the Earth, the tensors of moment of inertia, and angular momentum of oceanic and atmospheric masses for the period (1996-2014) have been calculated. Scientific novelty. It is established that during the whole observation period the increase of the angular momentum of the Antarctic tectonic plate corresponds to the decrease of the angular momentum of the Earth and the atmosphere. This indicates the conservation of angular momentum. The increases of the angular momentum of Antarctic tectonic plate corresponds to the increases of the angular momentum of the ocean. Explanation of this interrelationship requires additional research.

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Section: Methods Of Determination Of Angular Velocity and Euler Pole mentioning

confidence: 99%

Geodynamics

Tretyak¹,

Al-Alusi²,

Babiy³

2018

ГЕОДИНАМІКА

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“…The study of geodynamic processes and areas of both Ukraine [Tretyak et al, 2015] and the European continent [Tretyak & Vovk, 2016] in general is a relevant aspect of geodetic research, as well as establishing the magnitude of the annual change as horizontal [Tretyak & Vovk, 2014;Vovk, 2015] and vertical [Tretyak & Romaniuk, 2014;Tretyak & Romaniuk, 2018] movements of the earth's crust associated with age-related geodynamic processes, especially in man-made areas [Zayats et al, 2017;Mordvinov et al, 2018;Savchyn & Vaskovets, 2018;Savchyn & Pronyshyn, 2020]. The results of such geodetic measurements give information about the movement only at certain points on the earth's surface, and not for the entire earth's crust.…”

Section: Influence Of Geodynamic Phenomena On Control Of High-precision Levelingmentioning

confidence: 99%

Geodesy, Cartography, and Aerial Photography

Trevoho¹,

Zablotskyi²,

Piskorek³

et al. 2021

ISTCGCAP

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Purpose. The purpose of this work is obtaining connections between the Baltic and European height systems based on the I class leveling between the Ukrainian and Polish control points of the base vertical networks and construction of the quasigeoid surface on the border area. Method. Full integration of the hight system of Ukraine into the European vertical reference system (EVRS) consists of two stages: modernization of the height network of Ukraine through its integration into the United European leveling network UELN; construction and use as a regional vertical date the model of high-precision quasigeoid, which will be consistent with the European geoid EGG2015. The analysis of methods of high-precision leveling in Ukraine and Poland, and also the analysis of methods of construction of quasigeoid models in these countries is performed. Results. For integrating the Ukrainian hight system into the UELN/EVRS2000 system, the Ukrainian side performed I class geometric leveling along two lines: Lviv - Shehyni - Przemysl and Kovel - Yagodyn - Chelm with total length of 196 km. The root mean square systematic error on both lines of leveling was s<0.01 mm/km. In turn, the mean square random error along the line Lviv - Shehyni - Przemysl is h=0.29 mm/km, and along the line Kovel - Yagodyn - Chelm is h=0.27 mm/km. For double control on the cross-border part, the Polish side performed high-precision leveling with a length of 33 km. The differences between the Ukrainian and Polish leveling in all sections are within the tolerance. The analysis of influence of geodynamic phenomena on control of high-precision leveling is carried out. GNSS-leveling was performed on all fundamental and ground benchmarks, as well as horizontal marks. These measurements were used to build a quasigeoid model for the border area of Ukraine. The MSE of the obtained quasigeoid model is about 2 cm, which corresponds to the accuracy of the input information. Scientific novelty and practical significance. The connection of the Ukrainian and European height systems will ensure Ukraine’s integration into the European economic system, participation in international research of global ecological and geodynamic processes, study of the Earth’s shape and gravitational field and mapping of Ukraine using navigational and remote-sensing satellite technologies. Calculation of a high-precision model of a quasigeoid on the Ukraine area in relation to the European height system, agreed with the European geoid EGG2015, will allow to obtain gravity-dependent heights using modern satellite technologies.

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“…Depending on the number GNSS stations, the number of equations is greater than the number of unknowns (when n ≥ 2, where nnumber of GNSS stations). Determination of unknown parameters (    , , ) can be done using the least squares method (Tretyak, 2016).…”

Section: Fig 2 Location Of Permanent Gnss Stations In Antarcticamentioning

confidence: 99%