A.N. Agalakov1, A.A. Alimov2, A.V. Belinsky3, A.Y. Gusev4, I.Y. Zabavichev5, A.V. Kashin6, A.D. Malyshev7, A.A. Nogtev8, A.A. Potekhin9, A.S. Puzanov10, D.R. Serazhetdinov11, A.I. Sumsky12, P.A. Tamoikin13, S.A. Trushin14, E.I. Yarovaya15

1–15 FSUE RFNC «All-Russian Research Institute of Experimental Physics» (Sarov, Russia)
1 aAgalakov@niiis.nnov.ru, 2 aalimov@niiis.nnov.ru, 3 1515niiis@rambler.ru, 4 aGusev@niiis.nnov.ru, 5 iyuzabavichev@niiis.nnov.ru, 6 aKashin@niiis.nnov.ru, 7 aleksmallwm@gmail.com, 8 anogtev@niiis.nnov.ru, 9 potehinrf@gmail.com, 10 puzanov@rf.unn.ru, 11 serazhetdinovdin@gmail.com, 12 sumai@niiis.nnov.ru, 13 tamojkin@mail.ru, 14 sTrushin@niiis.nnov.ru, 15 helyar@yandex.ru  

Problem Statement. The need for periodic correction of inertial navigation system navigation definitions is associated with the accumulation of positioning errors due to the integration of inertial sensor measurement results.

Objective. To evaluate the effectiveness of using satellite, relief measurement, and magnetometric systems to correct inertial navigation system navigation definitions.

Results. The physical principles and mathematical models underlying satellite, relief measurement, and magnetometric systems are examined, along with the results of modeling their application for correcting inertial navigation system navigation definitions.

Practical Relevance. The obtained results are used in the development of onboard navigation equipment for aircraft.

1. Kalman R.E. A new approach to linear filtering and prediction problems. Journal of Basic Engineering. 1960. V. 82. № 1. P. 35–45. doi: 10.1115/1.3662552
2. RMG 29-2013. Gosudarstvennaya sistema obespecheniya edinstva izmerenij. Metrologiya. Osnovny`e terminy` i opredeleniya. 83 s.
3. El-Sheimy N., Youssef A. Inertial sensors technologies for navigation applications: state of the art and future trends. Satellite Navigation. 2020. V. 1. № 2. P. 1–21. doi. 10.1186/s43020-019-0001-5
4. Shebshaevich V.S., Dmitriev P.P., Ivancevich N.V., Kalugin A.V., Kovalevskij E`.G., Kudryavcev I.V., Kutikov V.Yu., Molchanov Yu.B., Maksyutenko Yu.A. Setevy`e sputnikovy`e radionavigacionny`e sistemy`. M.: Radio i svyaz`. 1993. 408 s.
5. Bakulev P.A., Sosnovskij A.A. Radionavigacionny`e sistemy`. M.: Radiotexnika. 2005. 224 s.
6. Perov A.I., Xarisov V.N. GLONASS. Principy` postroeniya i funkcionirovaniya. M.: Radiotexnika. 2010. 800 s.
7. Bogdanov M.R. Primeneniya GPS/GLONASS. M., Dolgoprudny`j: Izdatel`skij dom «Intellekt». 2012. 136 s.
8. Tyapkin V.N., Garin E.N. Metody` opredeleniya navigacionny`x parametrov podvizhny`x sredstv s ispol`zovaniem sputnikovoj radionavigacionnoj sistemy` GLONASS. Krasnoyarsk: Sibirskij federal`ny`j universitet. 2012. 260 s.
9. GLONASS. Interfejsny`j kontrol`ny`j dokument. Navigacionny`j radiosignal v diapazonax L1, L2 (redakciya 5.1). Rossijskij nauchno-issledovatel`skij institut kosmicheskogo priborostroeniya. 2008.
10. E`lektronny`j resurs: https://www.gps.gov/
11. Kuznetsov N.V., Lobachev M.Y., Yuldashev M.V., Yuldashev R.V., Tavazoei M.S. The Gardner Problem on the Lock-In Range of Second-Order Type 2 Phase-Locked Loops. IEEE Transactions on Automatic Control. 2023. V. 68. № 12. P. 7436–7450. doi: 10.1109/ TAC.2023.3277896
12. Voronov M.A., Ivlev D.N., Orlov I.Ya., Fitasov E.S. Sistema GLONASS: Struktura, navigacionnaya apparatura potrebitelej: Uchebnoe posobie. Nizhnij Novgorod: Nizhegorodskij gosuniversitet im. N.I. Lobachevskogo, 2019. 121 s.
13. Beloglazov I.N., Dzhangzhava G.I., Chigin G.P. Osnovy` navigacii po geofizicheskim polyam. M.: Nauka. 1985. 328 s.
14. Dzhangzhava G.I., Avgustov L.I. Navigaciya po geopolyam: Nauchno-metodicheskie materialy`. M.: OOO «Nautexlitizdat». 2018. 296 s.
15. Belinskij A.V., Nogtev A.A., Alimov A.A. Sposob navigacii letatel`ny`x apparatov po linejny`m poverxnostny`m orientiram. Patent na izobretenie zayavka 2024134439, prioritet izobreteniya ot 18.11.2024.
16. Finkel`shtejn M.I. Osnovy` radiolokacii. M.: Radio i svyaz`. 1983. 536 s.
17. Belinskij A.V., Nogtev A.A. Issledovanie korrelyacionno-e`kstremal`noj navigacionnoj sistemy` po maloinformativnomu polyu rel`efa zemnoj poverxnosti / Materialy` 21-j nauchno-texn. konf. «Molodyozh` v nauke». Sarov: RFYaCz–VNIIE`F. 2023.
18. Mixlin B.Z. Seleznev V.P. Seleznev A.V. Geomagnitnaya navigaciya. M.: Mashinostroenie. 1976. 380 s.
19. Trushin S.A., Shapovalov A.V., Kalinin A.T., Kolomiecz A.M., Bogaty`rev O.S. Primenenie komp`yuterny`x GIS-texnologij i rezul`tatov ae`romagnitny`x s``emok dlya navigacii i resheniya geologicheskix zadach. Razvedka i oxrana nedr. 2005. № 8. S. 21–24.