Far Eastern Mathematical Journal

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Investigation of mathematical problems of optimal design and adjustment of space geodetic networks


M. D. Gerasimenko, A. G. Kolomiets

2008, issue 1, Ñ. 31–45


Abstract
In this report the main results of theoretical and experimental investigations of IAM FEB RAS in the field of optimal design and adjustment of space geodetic networks are described.

Keywords:
geodetic networks, coordinate system, geodynamics, plate tectonic, deformation, recent crustal movements, optimal design, S-transformations

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References

[1] Dal'nevostochnoe ae'rogeodezicheskoe predpriyatie – 50 let, Chast' I, FGUP “Dal'nevostochnoe ae'rogeodezicheskoe predpriyatie”, Xabarovsk, 2007.
[2] M. D. Gerasimenko, G. A. Sharoglazova, “Optimizaciya tochnosti geodezicheskix izmerenij v planovoj seti”, Geodeziya i kartografiya, 1991, ¹ 8, 16–18.
[3] M. D. Gerasimenko, V. M. Kamornyj, V. I. Kaftan, “Obrabotka planovyx i prostranstvennyx geodezicheskix setej na geodinamicheskix poligonax”, Geodeziya i kartografiya, 1993, ¹ 2, 16–21.
[4] V. M. Kamornyj, M. D. Gerasimenko, “Programmnyj kompleks graficheskogo predstavleniya dvizhenij i deformacij zemnoj poverxnosti na baze IBM PC”, Geodeziya i kartografiya, 1992, ¹ 8, 26–28.
[5] M. D. Gerasimenko, A. G. Kolomiets, M. Kasahara, J.-F. Cre?taux, L. Soudarin, “Establishment of a global three-dimensional kinematics reference frame using VLBI and DORIS data”, Dal'nevostochnyj matematicheskij zhurnal, 6:1-2 (2005), 3–13.
[6] M. D. Gerasimenko, M. Kasaxara, “Dvizheniya i deformacii litosfernyx plit po dannym kosmicheskoj geodezii (k voprosu o fiksacii kinematicheskoj sistemy koordinat)”, Tixookeanskaya geologiya, 21:1 (2002), 5–13.
[7] M. D. Gerasimenko, “Algoritm fiksacii trexmernoj kinematicheskoj sistemy otscheta dlya izucheniya dvizhenij litosfernyx plit po geodezicheskim dannym”, Geodeziya i kartografiya, 1998, ¹ 8, 27–34.
[8] M. D. Gerasimenko, T. Kato, “Establishment of the three-dimensional kinematics reference frame by space geodetic measurements”, Earth, Planets and Space, 52 (2000), 959–963.
[9] H. Takahashi, M. Kasahara, F. Kimata, S. Miura, K. Heki, T. Seno, T. Kato, N. Vasilenko, A. Ivashchenko, V. Bahtiarov, V. Levin, E. Gordeev, F. Korchagin, M. D. Gerasimenko, “Velocity field of around the Sea of Okhotsk and Sea of Japan region determined from a new continuous GPS network”, Geophysical Research Letters, 26:16 (1999), 2533–2536.
[10] M. D. Gerasimenko, “Modelling of the Earth Deformation from Space Tracking Data”, Engineering of Surveying and Mapping (Cehui Gongcheng), 4:1 (1995), 20–25 (in Chinese).
[11] M. D. Gerasimenko, “Modeling of Recent Crustal Movements from Geodetic Data”, Proceedings of ISTANBUL-94. 1st Turkish International Symposium on Deformations (Sept. 5–9, 1994. Ankara, Turkey. TMMOB-HKMO), 1995, 242–248.
[12] T. Kato, Y. Kotake, S. Nakao, J. Beavan, K. Hirahara, M. Okada, M. Hoshiba, O. Kamigaichi, R. B. Feir, P. H. Park, M. D. Gerasimenko, M. Kasahara, “Initial results from WING, the continuous GPS network in the western Pacific area”, Geophysical Research Letters, 25:3 (1998), 369–372.
[13] Y. Kotake, T. Kato, S. Nakao, K. Hirahara, M. Okada, O. Kamigaichi, M. Hoshiba, M. Kasahara, J. Bevan, R. B. Feir, M. D. Gerasimenko, P. H. Park, “On the Data Analysis of the Western Pacific Integrated Network of GPS (Part 1)”, Journal of the Geodetic Society of Japan, 44:1 (1988), 1–19 (in Japanese).
[14] B. Schaffrin, “Aspects of network design”, Optimization and design of geodetic networks, eds. E. Grafarend, F. Sanso, Springer, Berlin, etc., 1985, 548–597.
[15] M. D. Gerasimenko, Sovremennyj metod naimen'shix kvadratov s geodezicheskimi prilozheniyami, Dal'nauka, Vladivostok, 1998.
[16] M. A. R. Cooper, P. A. Cross, “Statistical concepts and their application in photogrammetry and surveying (continued)”, Photogrammetric Record, 13(77) (1991), 645–678.
[17] Y. Q. Chen, A. Chrzanowski, J. M. Secord, “A strategy for the analysis of the stability of reference points in deformation surveys”, CISM journal ACSGC, 44(2) (1990), 141–149.
[18] A. G. Kolomiec, M. D. Gerasimenko, Zh.-F. Kreto, L. Sudarin, “Fiksaciya trexmernoj kinematicheskoj sistemy koordinat po dannym sputnikovoj geodezii”, Izvestiya vuzov. Geodeziya i ae'rofotos"emka, 2007, ¹ 3, 23–32.
[19] M. D. Gerasimenko, “Adjustment of large geodetic networks by the multigroup correlate method”, Geodesy, Mapping and Photogrammetry, 20(1) (1978), 14–16.
[20] M. D. Gerasimenko, “Mnogogruppovoj korrelatnyj sposob dlya uravnivaniya geodezicheskix setej na E'VM”, Izvestiya vuzov. Geodeziya i ae'rofotos"emka, 1977, ¹ 5, 57–60.
[21] M. D. Gerasimenko, “The problem of the change of the Earth dimension in the light of space geodesy data”, Why expanding Earth? -– A book in honors of Ott Cristoph Hilgenberg, eds. G. Scalera and K.-H. Jacob, INGV, Rome, 2003, 395–405.
[22] M. D. Gerasimenko, “A few geodetic arguments in the favour of hypothesis of expanding Earth”, Far Eastern Mathematical Reports, 3 (1997), 69–79.
[23] M. D. Gerasimenko, “Modeling of the change of Earth dimensions and deformations from space tracking data”, Proc. of the CRCM’93 (Kobe, Dec. 6–11, 1993), 1994, 215–217.
[24] M. D. Gerasimenko, “First order design of the deformation networks with the minimal number of geodetic points and their optimal allocation”, Far Eastern Mathematical Reports, 4 (1997), 86–93.
[25] M. D. Gerasimenko, N. V. Shestakov, T. Kato, “On optimal geodetic network design for fault-mechanics studies”, Earth, Planets and Space, 52 (2000), 985–987.
[26] M. D. Gerasimenko, M. Kasaxara, N. V. Shestakov, “Optimal'noe proektirovanie sxemy deformacionnyx geodezicheskix setej”, Izvestiya vuzov. Geodeziya i ae'rofotos"emka, 2002, ¹ 4, 21–35.
[27] N. V. Shestakov, H. E. Waithaka, M. Kasahara, M. D. Gerasimenko, “Two examples of optimal design of geodynamic GPS networks”, Proceedings of the International Association of Geodesy: A Window on the future of Geodesy, 128, Springer – Verlag, Berlin – Heidelberg, 2005, 538–543.
[28] M. D. Gerasimenko, “Optimizaciya formy geodezicheskoj seti”, Geodeziya i kartografiya, 1991, ¹ 5, 4–8.
[29] M. D. Gerasimenko, “Modelirovanie sovremennyx dvizhenij zemnoj kory po geodezicheskim dannym”, Geodeziya i kartografiya, 1992, ¹ 7, 26–29.
[30] A. Chrzanowski, Y. Q. Chen, J. M. Secord, “On the strain analysis of tectonic movements using fault crossing geodetic surveys”, Tectonophysics, 97 (1983), 297–315.
[31] Kuang Shan-long, Optimizations and Design of Deformation Monitoring Schemes, Ph. D. Dissertation, Department of Surveying Engineering Technical Report No. 157, University of New Brunswick, Fredericton, New Brunswick, Canada, 1991.
[32] A. Ananga, R. Coleman, C. Rizos, “Variance-covariance estimation of GPS Networks”, Bulletin Geodesique, 68 (1994), 77–87.
[33] H. O. Johnson, F. K. Wyatt, “Geodetic network design for fault-mechanics studies”, Manuscripta geodaetica, 19 (1994), 309–323.
[34] M. D. Gerasimenko, Optimal'noe proektirovanie i uravnivanie geodezicheskix setej, Nauka, M., 1992.
[35] M. D. Gerasimenko, N. V. Shestakov, M. Kasaxara, “Kakix nepriyatnostej mozhno zhdat' ot zavisimyx izmerenij?”, Geodeziya i kartografiya, 2002, ¹ 10, 10–13.
[36] M. D. Gerasimenko, Minoru Kasaxara, “K voprosu ob uchete fizicheskoj korrelyacii pri optimal'nom proektirovanii geodezicheskix izmerenij”, Izvestiya vuzov. Geodeziya i ae'rofotos"emka, 2004, ¹ 1, 17–21.
[37] M. D. Gerasimenko, N. V. Shestakov, “K voprosu ob uchete fizicheskoj korrelyacii pri optimal'nom proektirovanii i matematicheskoj obrabotke izmerenij”, Geodeziya i kartografiya, 2008, ¹ 1, 13–14.

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