Analytical Calculation of the Trajectory Curvature and the Angular Deviation of the Light Beam in the Earth’s Atmosphere Considering its Rotation

In this work we performed analytical calculations of the velocity gradient movement effect of the Earth's atmosphere on a trajectory curvature and the angular deviation of the laser beam with reference to the problem of coordinates determining of spacecraft. It is shown that the effects of electrodynamics of moving media should have an impact on global space navigation systems.

References

[1] Annila A. Least-time paths of light. Monthly Notices Royal Astronomical Society, 2011, no. 416, pp. 2944-2948.

[2] Gladyshev V.O., Kauts V.L., Tiunov P.S., Chelnokov M.B. On the influence of rotation of Earth and Sun atmospheres on the electromagnetic radiation propagation. Jelektr. nauchno-tekh. izd. "Inzhenernyy zhurnal: nauka i innovacii" [El. Sc.-Tech. Publ. Eng. J.: Science and Innovation], 2012, iss. 5. DOI: 10.18698/2308-6033-2012-5-216 Available at: http://engjournal.ru/eng/catalog/fundamentals/physics/216.html

[3] Gladyshev V.O., Kauts V.L., Tiunov P.S., Chelnokov M.B. Effect of the Еarth’s atmosphere movement on the precision of coordinate and time support. Tr. Inst. Prikl. Astr. RAN [Proc. Inst. Appl. Astr., Russ. Acad. Sci.], 2013, no. 27, pp. 156-160 (in Russ.).

[4] Gladyshev V.O., Tereshin A.A., Bazleva D.D., Gladysheva T.M. Electromagnetic radiation in the moving medium with a velocity gradient. Physical Interpretation of Relativity Theory: Proc. of Int. Sci. Meeting. 29 June-2 July 2015. Moscow, BMSTU, 2015, pp. 157-164.

[5] Mainhul Hoque M., Jakowski N. Ionospheric propagation effects on GNSS signals and new correction approaches. Global navigation satellite systems: signal, theory and applications. InTech., 2012, pp. 381-404.

[6] Rousseau M., Mathieu J.P. Problems in optics. Int. Series of Monographs in Natural Philosophy, Pergamon Press, 2011, vol. 52, pp. 236-237.

[7] Horwath J. et al. Coherent transmission feasibility analysis. Proc. SPIE, 2005, vol. 5712, pp. 13-23.

[8] Hardy J. Adaptive optics for astronomical telescopes. N.Y., Oxford University Press, 1998. 438 p.

[9] Bolotovskiy B.M., Stolyarov S.N. Reflection of light from a moving mirror and related problems. Sov. Phys. Usp., 1989, vol. 32, pp. 813-827. DOI: 10.1070/PU1989v032n09ABEH002759

[10] Gladyshev V., Gladysheva T., Zubarev V. Propagation of electromagnetic waves in complex motion media. Journal of Engineering Mathematics, 2006, vol. 55, no. 1-4, pp. 239-254.

[11] Gladyshev V.O. Curvature of the trajectory traced out by a monochromatic plane electromagnetic wave in a medium with rotation. JETP Letters, 1993, vol. 58, iss. 8, pp. 569-572.

[12] Rozanov N.N., Sochilin G.B. First-order relativistic effects in the electrodynamics of media moving with a nonuniform velocity. Phys. Usp., 2006, vol. 49, pp. 407-424. DOI: 10.1070/PU2006v049n04ABEH005940