R.V. Volkov - Ph. D. (Eng.), Associate Professor, S.M. Budjonny Military Academy of Signal Corps (Saint Petersburg) E-mail: volkrust73@gmail.com V.V. Sevidov - S.M. Budjonny Military Academy of Signal Corps (Saint Petersburg) E-mail: v-v-sevidov@mail.ru S.V. Bogdanovsky - Post-graduate Student, S.M. Budjonny Military Academy of Signal Corps (Saint Petersburg) E-mail: bogdan141@mail.ru S.F. Teslevich - Cherepovets Higher Military Engineering School of Radio Electronics E-mail: chvviur2@mil.ru

Russian radio monitoring systems (RMS) providing satellite communication stations (SCS) positioning through receiving repeater satellite signals are out of operation now. Foreign RMSs in use revealed some operational limitations. These limitations promote development of domestic analogues. This work aims at selecting and justifying a model of Earth\'s surface for SCS positioning through receiving repeater satellite signals. The article considers various models of the Earth\'s surface: spherical and ellipsoid of revolution. The advantage of the spherical model is its computational simplicity, e.g. transformation from orthogonal to spherical coordinates. Another advantage is a possibility to find the line of intersection with other position surfaces analytically that is used in a number of works on SCS positioning through receiving repeater satellite signals. More accurate SCS coordinates can be calculated with ellipsoid of revolution as a model of the Earth\'s surface. One considerable limitation of ellipsoid surface is that it is impossible to find the line of intersection with other position surfaces analytically because it requires several iterations to calculate geodetic latitude. The article considers an algorithm of calculating errors of positioning earth SCS due to inaccuracies of the Earth\'s surface model. Two types of errors are computed: in space and in plane. A tradeoff model of the Earth\'s surface as a sphere with variable radius is found. It provides accurate positioning of SCS at different latitudes, simple computation and a possibility to find lines of intersection with other surfaces analytically.

 

1. Volkov R.V., Sevidov V.V., CHemarov A.O. Tochnost geolokacii raznostno-dalnomernym metodom s ispolzovaniem sputnikov-retransljatorov na geostacionarnojj orbite // Izvestija Sankt-Peterburgskogo gosudarstvennogo ehlektrotekhnicheskogo universiteta LEHTI. 2014. № 9. S. 12−19.
2. Sevidov V.V., CHemarov A.O. Opredelenie koordinat sputnikov-retransljatorov v raznostno-dalnomernojj sisteme geolokacii // Izvestija VUZov Rossii. Radioehlektronika. 2015. T. 3. S. 41−47.
3. Keljan A.KH., CHemarov A.O., Volkov R.V., Sevidov V.V. Opredelenie parametrov dvizhenija letatelnogo apparata sistemojj geolokacii po izluchenijam nakhodjashhejjsja na ego bortu stancii sputnikovojj svjazi // Uspekhi sovremennojj radioehlektroniki. 2016. № 5. S. 10−14.
4. Volkov R.V., Sajapin V.N., Sevidov V.V. Model izmerenija vremennojj zaderzhki i chastotnogo sdviga radiosignala, prinjatogo ot sputnika-retransljatora pri opredelenii mestopolozhenija zemnojj stancii // T-Comm: Telekommunikacii i transport. 2016. T. 10. № 9. S. 14−18.
5. Volkov R.V., Sevidov V.V., Teslevich S.F. Matematicheskaja model radiosignala, prinjatogo kompleksom radiomonitoringa ot sputnika-retransljatora // Naukoemkie tekhnologii. 2015. T. 16. № 12. S. 44−49.
6. Sevidov V.V. Varianty realizacii raznostno-dalnomernogo metoda opredelenija koordinat zemnykh stancijj po signalam sputnikov-retransljatorov // Materialy III Mezhdunar. nauchno-tekhnich. konf. «Radiotekhnika, ehlektronika i svjaz». 2015. S. 303−308.
7. Volkov R.V., Sajapin V.N., Sevidov V.V. Algoritm opredelenija koordinat zemnykh stancijj po signalam, sputnikov-retransljatorov // Teorija i praktika sovremennojj nauki. 2016. № 10(16).
8. Sevidov V.V. Opredelenie koordinat i parametrov dvizhenija istochnika radioizluchenija na osnove raznostno-vremennykh i raznostno-doplerovskikh izmerenijj // Programmy dlja EHVM. Bazy dannykh. Topologii integralnykh mikroskhem. 2015. № 11. S. 2.
9. Sevidov V.V., Volkov R.V., Sajapin V.N. Model dvizhenija iskusstvennogo sputnika Zemli // Programmy dlja EHVM. Bazy dannykh. Topologii integralnykh mikroskhem. 2016. № 2. S. 112.