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CONDITIONS FOR DETERMINING THE COORDINATES OF A MOVING OBJECT ON A GEOPHYSICAL LANDMARK
1 Schmidt Institute of Physics of the Earth, the Russian Academy of Sciences
2 Vladimir State University named after Alexander and Nikolay Stoletov
Journal: Geophysical research
Tome: 24
Number: 4
Year: 2023
Pages: 43-57
UDK: 550.831.015: 550.831.3: 528.27
DOI: 10.21455/gr2023.4-3
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Koneshov
P.S V.N. CONDITIONS FOR DETERMINING THE COORDINATES OF A MOVING OBJECT ON A GEOPHYSICAL LANDMARK
// . 2023. Т. 24. № 4. С. 43-57. DOI: 10.21455/gr2023.4-3
@article{Koneshov
P.SCONDITIONS2023,
author = "Koneshov
P.S, V. N.",
title = "CONDITIONS FOR DETERMINING THE COORDINATES OF A MOVING OBJECT ON A GEOPHYSICAL LANDMARK
",
journal = "Geophysical research",
year = 2023,
volume = "24",
number = "4",
pages = "43-57",
doi = "10.21455/gr2023.4-3",
language = "English"
}
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Keywords: Earth's gravitational field, gravity anomalies, potential field navigation.
Аnnotation: The article is devoted to the theoretical research and justification of the method for determining the location of the carrier as a moving object, as well as its motion parameters along the gravimetric profile and the map of the Earth's gravity field anomalies, considered as a set of geophysical landmarks, taking into account the specifics of measurements performed by modern gravimetric complexes.
The article considers such features of the gravitational field navigation as the presence of inertial inter-ference and the need to suppress it, the presence of systematic instrumental errors, as well as the very nature of calculations by inertial navigation systems.
An analysis of the requirements for the structure of anomalies and the detail of the gravitational field representation, map errors and gravimetric profile errors are carried out. It is shown that with the use of gravity anomalies, solving the navigation problem is fundamentally possible only if the anomalous field differs from a second-order polynomial that exceeds the errors of the anomalies of the used gravimetric map.
Taking into account the theoretical justification and practical experience of clarifying the coordinates of an object on a geophysical landmark, it was established that important components are not only the methods for solving the navigation problem, but also the characteristics of the field anomalies themselves along the mo-tion trajectory. To visually represent the number of zones of the global gravitational field with characteristics suitable for specifying the coordinates, an estimate of the areas of the World Ocean and separately the waters of the Arctic Ocean is given. The estimate was obtained from the zoning data of a high-degree global gravity field model, taking into account the value of the total horizontal gravity gradient.
The resulting mutual ratio of the number of anomalies that satisfy the solution of the problem and those anomalies where the solution of the navigation solution is impossible shows the need for a careful study of the anomalous field of the ocean and its individual sections in relation to the creation of geophysical landmarks.
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Zheleznyak L.K., Krasnov A.A., Sokolov A.V., Effect of the inertial accelerations on the accuracy of the Che-kan-AM gravimeter, Izvestiya, Physics of the Solid Earth, 2010, vol. 46, no. 7, pp. 580-583. DOI: 10.1134/S1069351310070025
Beloglazov I.N., Dzhandzhgava G.I., Chigin G.P., Osnovy navigacii po geofizicheskim poljam (Basics of naviga-tion in geophysical fields), Moscow, Nauka, 1985, 328 p. [In Russian].
Dranica Y.P., Dranica A.Y., Alekseevskaya O.V., Formulation and solutions of the main problem of linear opti-mal filtration, Vestnik Murmanskogo gosudarstvennogo tehnicheskogo universiteta (Bulletin of the Murmansk State Technical University), 2010, vol. 13, no. 4/2, pp. 1008-1014. [In Russian].
Evlanov L.G., Optimal estimation of the state of systems with parametric noise, Avtomatika i telemehanika (Au-tomation and telemechanics), 1976, no. 9, pp. 29-36. [In Russian].
Koneshov V.N., Nepoklonov V.B., Pogorelov V.V., Solov’ev V.N., Afanas’eva L.V., Arctic gravity exploration: state of the art and prospects, Izvestiya, Physics of the Solid Earth, 2016, vol. 52, no. 3, pp. 443-451. DOI: 10.1134/S1069351316030058
Krasnov A.A., Sokolov A.V., A modern software system of a mobile Chekan-AM gravimeter, Gyroscopy and Navigation, 2015, no. 6, pp. 278-287. DOI: 10.1134/S2075108715040082
Ling Z., Zhao L., Zhang T., Zhai G., Yang F., Comparison of Marine Gravity Measurements from Shipborne and Satellite Altimetry in the Arctic Ocean, Remote Sensing, 2022, no. 14, 11 p. DOI: 10.3390/ rs14010041
Mikhailov P.S., Koneshov V.N., Solovyev V.N., Zheleznyak L.K., New Results of Estimation of Modern Global Ultrahigh-Degree Models of the Earth’s Gravity Field in the World Ocean, Gyroscopy and Navigation, 2022, vol. 13, no. 4, pp. 210-221. DOI: 10.1134/S2075108722040095
Peshekhonov V.G., Sokolov A.V., Zheleznyak L.K., Bereza A.D., Krasnov A.A., Role of Navigation Technolo-gies in Mobile Gravimeters Development, Gyroscopy and Navigation, 2020, no. 11, pp. 2-12. DOI: 10.1134/S2075108720010101
Piskarev A.L., The basement structure of the Eurasia basin and central ridges in the Arctic Ocean, Geotectonics, 2004, vol. 38, no. 6, pp. 443-458.
Stepanov O.A., Primenenie teorii nelinejnoj fil'tracii v zadachah obrabotki navigacionnoj informacii (Applica-tion of the theory of nonlinear filtering in problems of navigation information processing), St. Petersburg, Concern “Central Research Institute “Electropribor”, 2003, 370 p. [In Russian].
Stepanov O.A., Osnovy teorii ocenivanija s prilozhenijami k zadacham obrabotki navigacionnoj informacii. Chast' 1. Vvedenie v teoriju ocenivanija (Fundamentals of estimation theory with applications to naviga-tion information processing tasks. Part 1. Introduction to the theory of evaluation), St. Petersburg, Con-cern “Central Research Institute “Electropribor”, 2010, 509 p. [In Russian].
Stepanov O.A., Osnovy teorii ocenivanija s prilozhenijami k zadacham obrabotki navigacionnoj informacii. Chast' 2. Vvedenie v teoriju fil'tracii (Fundamentals of estimation theory with applications to navigation information processing tasks. Part 2. Introduction to filtration theory), St. Petersburg, Concern “Central Research Institute “Electropribor”, 2012, 417 p. [In Russian].
Sun B., Zhang Z., Liu S., Yan X., Yang C., Integrated Navigation Algorithm Based on Multiple Fading Factors Kalman Filter, Sensors, 2022, vol. 22, no. 14, 18 p. DOI: 10.3390/s22145081
Wang F., Wen X., Sheng D., Observability Analysis and Simulation of Passive Gravity Navigation System, Jour-nal of Computers, 2013, vol. 8, no. 1, pp. 248-255. DOI: 10.4304/jcp.8.1.248-255
Wang H., Wu L., Chai H., Xiao Y., Hsu H., Wang Y., Characteristics of Marine Gravity Anomaly Reference Maps and Accuracy Analysis of Gravity Matching-Aided Navigation, Sensors, 2017a, vol. 17, no. 8, 14 p. DOI: 10.3390/s17081851
Wang H., Wu L., Chai H., Bao L., Wang Y., Location Accuracy of INS/Gravity-Integrated Navigation System on the Basis of Ocean Experiment and Simulation, Sensors, 2017b, vol. 17, no. 12, 13 p. DOI: 10.3390/s17122961
Zheleznyak L.K., Koneshov V.N., Large-scale gravimetric survey at sea, Fizika Zemli (Physics of the Earth), 1992, no. 11, pp. 64-68. [In Russian].
Zheleznyak L.K., Koneshov V.N., Popov E.I., A new stage in the development of marine gravimetry, Doklady Akademii nauk (Reports of the Academy of Sciences), 1994, vol. 337, no. 4, pp. 525-527. [In Russian].
Zheleznyak L.K., Koneshov V.N., Krasnov A.A., Sokolov A.V., Elinson L.S., The results of testing the Chekan gravimeter at the Leningrad gravimetric testing area, Izvestiya, Physics of the Solid Earth, 2015, vol. 51, no. 2, pp. 315-320. DOI: 10.1134/S106935131502010X
Zheleznyak L.K., Krasnov A.A., Sokolov A.V., Effect of the inertial accelerations on the accuracy of the Che-kan-AM gravimeter, Izvestiya, Physics of the Solid Earth, 2010, vol. 46, no. 7, pp. 580-583. DOI: 10.1134/S1069351310070025
