S.S. Semenyuk1, V.V. Pechurin2, R.R. Saniev3

1−3 Military Space Academy named after A.F. Mozhaisky (Saint Petersburg, Russia)

The solving quality of applied problems depends on the satellite positioning accuracy by the radiation of their onboard devices. In this case, coordinates estimates of the satellite contain errors caused by the random factors, including natural and artificial interference at the input of devices for measuring coordinate-informative parameters of signals from onboard devices. At the same time, the satellite moving is carried out along curves, which can be described by second-order equations. Therefore, in the absence of systematic errors of measurements of coordinate-informative parameters of signals and in conditions of unbiased estimates of position parameters, coordinates estimates of the satellites are distributed near the specified curves, and therefore can be approximated. Taking this into account, it is possible to increase the positioning satellites accuracy by approximating estimates of their coordinates.

Simulation modeling has been used to evaluate the possibilities of increasing the positioning accuracy of radio sources by approximating the coordinate estimates. The approximation of coordinate estimates by the least squares method, without taking into account the distribution of the geometric factor in the working area, makes it possible to increase the positioning accuracy in some sections of the satellite motion path. Taking into account the character of geometric factor distribution in the working area allows increasing the approximation accuracy of coordinate estimates for the whole satellite motion path. The results obtained indicate the possibility of a more significant increase in the positioning accuracy by processing the coordinates estimates of moving objects based on knowledge of the satellite motion path shape using the maximum likelihood method.

Increase of own positioning accuracy of moving satellites will allow to raise location accuracy of various stationary and mobile land, sea and air objects at a geolocation.

Semenyuk S.S., Pechurin V.V., Saniev R.R. Possibilities evaluation of satellite positioning accuracy increasing by the time difference of arrival method using coordinate estimates approximating. Electromagnetic waves and electronic systems. 2022. V. 27. № 4. P. 41−48. DOI: https://doi.org/10.18127/j15604128-202204-05 (in Russian)

1. Semenyuk S.S., Abakumov A.N. Issledovanie vliyaniya geometricheskoi konfiguratsii raznostno-dalnomernoi sistemy na tochnost opredeleniya mestopolozheniya abonentskikh terminalov sputnikovykh sistem svyazi. Trudy Voenno-kosmicheskoi akademii imeni A.F. Mozhaiskogo. SPb.: VKA imeni A.F. Mozhaiskogo. 2014. № 644. S. 40−50. (in Russian)
2. Marinin V.M., Saniev R.R., Semenov K.V., Semenyuk S.S. Model otsenivaniya vektora skorosti sputnika-retranslyatora po signalam trekh repernykh stantsii. Trudy Voenno-kosmicheskoi akademii imeni A.F. Mozhaiskogo. 2021. № 677. S. 98−106. (in Russian)
3. Venttsel E.S., Ovcharov L.A. Teoriya veroyatnostei i ee inzhenernye prilozheniya. M.: Izdat. tsentr «Akademiya». 2003. 464 s. (in Russian)
4. Kremer N.Sh. Teoriya veroyatnostei i matematicheskaya statistika. M.: YuNITIDANA. 2004. 573 s. (in Russian)
5. Semenyuk S.S., Utkin V.V., Berdinskikh L.N. Geometricheskii faktor raznostno-dalnomernoi seti datchikov v prostranstve. Naukoemkie tekhnologii. 2012. T. 13. № 8. S. 66−73. (in Russian)
6. Semenyuk S.S., Khristichan E.V., Saniev R.R. Obosnovanie podkhoda k snizheniyu variativnosti geometricheskogo faktora sistemy opredeleniya koordinat vozdushnykh ob’ektov po tekhnologii MLAT. Zhurnal radioelektroniki. 2021. № 4. DOI: 10.30898/1684-1719.2021.4.14. (in Russian)