THE USING OF  SPECIAL RELATIVITY IN NAVIGATION AND ATC

Alexander Petrovich Plyasovskikh, Yuri Grigorievich Shatrakov, Oleg Ivanovich Sauta; Yuri Timofeevich Krivoruchko, Georgy Alekseevich Kryzhanovsky, Ivan Nikolaevich Shestakov; Alexander Yurievich Knyazhsky, Artem Yurievich Vinnikov, Veniamin Gennadievich Lugovoi; Vladislav Yurievich Davidenko, Alexander Evgenievich Khizhnichenko, Egor Sergeevich Shcherbakov

doi:10.5281/zenodo.7614329

THE USING OF SPECIAL RELATIVITY IN NAVIGATION AND ATC

07.02.2023 International Scientific Journal "Science and Innovation". Series A. Volume 2 Issue 2

Alexander Petrovich Plyasovskikh, Yuri Grigorievich Shatrakov, Oleg Ivanovich Sauta, Yuri Timofeevich Krivoruchko, Georgy Alekseevich Kryzhanovsky, Ivan Nikolaevich Shestakov, Alexander Yurievich Knyazhsky, Artem Yurievich Vinnikov, Veniamin Gennadievich Lugovoi, Vladislav Yurievich Davidenko, Alexander Evgenievich Khizhnichenko, Egor Sergeevich Shcherbakov

Abstract. JSC All-Russian Research Institute of Radio Equipment (VNIIRA) conducted a practical experiment to measure the rate of the observed rate of moving clocks located on aircraft performing flights. It was experimentally confirmed that, according to observations, the clock moving towards the observer goes faster than its stationary clock, and the clock moving away from the observer, according to observations, goes slower than the stationary ones. It turned out that SRT contradicts this experimental fact: in accordance with SRT, moving clocks in all cases (regardless of the direction of movement) are observed to go slower than stationary ones. The relevance of the experiment is due to the fact that at present SRT formulas are widely used in works on satellite navigation systems. Meanwhile, it is well known that the use of erroneous formulas in the development of navigation and surveillance systems in the aviation and space industries can lead, at best, to a deterioration in the performance characteristics of these systems. In the worst case, this may affect the decrease in the level of safety of aviation and space flights, lead to accidents and catastrophes in aviation and astronautics, to significant economic losses and human casualties. The work consists of two parts. The first part presents the theoretical foundations of the experiment. The continuation (in the second part) presents the results of the experiment. The experiment was carried out using the Avrora-2 monopulse secondary surveillance radar manufactured by JSC VNIIRA, which provides high-precision measurement of the time intervals between the moments of transmitting a request and receiving response signals from aircraft transponders. The paper presents reliable formulas that should be used instead of the corresponding SRT formulas, which contradict the experimental data.

Keywords: : law of aberration, inertial frame of reference, observer, special relativity, SRT, experiment, experimental refutation of SRT, criticism of SRT, mathematical statistics

References:

1. Artekha S. N. Criticism of the foundations of the theory of relativity. M.: Editorial URSS, 2004, 220 p. – ISBN: 5-354-00545-0. 2. Ashby, N. Relativity in GNSS. In: Ashtekar, A., Petkov, V. (eds) Springer Handbook of Spacetime. Springer Handbooks. Springer, Berlin, Heidelberg, 2014. [https://doi.org/10.1007/978-3-642-41992-8_24] 3. Aviation Surveillance Manual. ICAO Document 9924 AN/474. - 2020. - 429 p. 4. Denisov. A. A. Fundamentals of the theory of motion reflection (TOD) St. Petersburg: SPbGPU Publishing House. 2006. 57 p. – ISBN 5-7422-0454-X 5. Einstein A. Dialogue about objections to the theory of relativity” // M. Nauka. 1965. T. 1. S. 616-625. 6. Einstein A. On the electrodynamics of moving bodies // - M.: Nauka. Sobr. scientific Tr., 1965, T. 1. S. 7-35. 7. Einstein A. On the possibility of a new proof of the principle of relativity // M. Nauka, 1965, Vol. 1. S. 49-50. 8. Einstein A. On the special and general theory of relativity // M. Nauka.1965. T. 1. S. 530-600. 9. Einstein A. The principle of relativity and its consequences in modern physics // M. Nauka. 1965. T. 1. S. 138-164. 10. Feynman Lectures on Physics. Vol. I (1–2) / Richard Feynman, Robert Leighton, Matthew Sands; [per. from English. O.A. Khrustaleva, G.I. Kopylova, A.V. Efremov]. - M.: AST Publishing House, 2019. - 448 p. 11. Fidalgo, J. "LIFELINE: Feasibility Study of Space-Based Relativistic Positioning System / Fidalgo, J., Melis, S., Kosti, U., Delva, P., Mendes, L., Prieto-Cerdeira, R. // " Proceedings of the 34th International Technical Meeting of the Satellite Division of The Institute of Navigation (ION GNSS+ 2021), St. Louis, Missouri, September 2021, pp. 3979-3989. 12. Global Positioning System: Theory and Application / Edited by B.W. Parkinson, J.J. Spilker Jr. - AIAA. Inc., Washington, vol. 1, 1996. 13. Kouba, J. Relativity effects of Galileo passive hydrogen maser satellite clocks. GPS Solut 23, 117 (2019). https://doi.org/10.1007/s10291-019-0910-7 14. Mudrak, A. Relativistic Corrections in the European GNSS Galileo / Mudrak, A., De Simone, P. & Lisi, M // Aerotec. Missili Spaz. 94, 2015, pp. 139–144 (2015). 15. Plyasovskikh A. P On the possibility of motion of bodies with superluminal speed. LAP LAMBERT Academic Publishing, 2021. 152 p. ISBN 978-620-4-71514-8 16. Plyasovskikh A. P. On the issue of aberration in the longitudinal motion of a material point relative to the observer // Modern scientific research and innovation. 2022. No. 2 [Electronic resource]. URL: https://web.snauka.ru/issues/2022/02/97670 (date of access: 02/10/2022). 17. Plyasovskikh A. P. On the law of aberration // Natural Science Journal "Exact Science". 2022. No. 131. P. 30-42. URL: https://idpluton.ru/wp-content/uploads/tv131.pdf (date of access: 05/02/2022). 18. Plyasovskikh A. P. The law of aberration and its applications in navigation and air traffic control. - M.: Znanie-M, 2022. 70 p. – ISBN 978-5-00187-223-8. 19. Plyasovskikh A. P. Theory of reality, alternative to the special theory of relativity // Modern scientific research and innovation. 2021. No. 11 [Electronic resource]. URL: https://web.snauka.ru/issues/2021/11/97082 (date of access: 11/28/2021). 20. Plyasovskikh A. P. Theory of reality. In what way does it surpass the special theory of relativity // Natural science journal "Exact Science". 2021. No. 120. URL: https://idpluton.ru/wp-content/uploads/tv120.pdf (date of access: 12/06/2021). 21. Plyasovskikh A. P. Why there is no twin paradox in the theory of reality // Modern scientific research and innovations. 2021. No. 12 [Electronic resource]. URL: https://web.snauka.ru/issues/2021/12/97127 (date of access: 03.12.2021). 22. Smulsky I. I. Theory of interaction. Novosibirsk: From Novosib. Univ., NRC OIGGM SO RAN, 1999. 294 p. – ISBN 5-76150264-2 23. Tyapkin, V. N. Methods for determining the navigation parameters of mobile vehicles using the GLONASS satellite radio navigation system: monograph / V. N. Tyapkin, E. N. Garin. – Krasnoyarsk: Sib. feder. un-t, 2012. - 260 p. ISBN 978-5-7638-2639-5. 24. Ugarov V. A. Special Theory of Relativity. - M.: Nauka, 1977. 25. Understanding GPS: Principles and Applications / Ed. by E D. Kaplan. Aitech House, Inc., Norwood, Massachusetts, 1996. [https://doi.org/10.1007/BF03404697]