Gyroscopy and Navigation
E.M. Mazurova et al. Deviation of Electromagnetic Pulses in Earth-Fixed Rotating Reference Frame
The position of an Earth’s space satellite (ESS) or the Moon is determined by laser ranging. The distances from theground stations to satellites equipped with ranging reflectors or to the reflectors located on the Moon surface are measured by means of laser tools. Based on the time interval between the emission and reception of ultrashort laser pulses at the same station, it is possible to determine the position of an ESS or the Moon at the moment of reflection. In this case, the signal emitted from the station and the signal reflected from the satellite propagate along different paths. As a result, an angle between the directions of the emitted and returned signal is formed at the location point. It is this deviation of laser signal paths that is the subject matter of this paper. Since the Earth-fixed rotating reference frame is noninertial, calculations are performed with consideration for the theory of relativity. The spherical shape of the Earth and the Keplerian orbits of the ESS are considered without taking into account the Earth’s gravity field. The signal deviation significantly depends both on the satellite orbital parameters and the Earth’s rotation rate. The mathematical calculations allow the authors to generalize and compare the results of studies of this effect, obtained by other authors. They have also been used in the numerical calculations in a case study of a high-orbit and high-eccentricity satellite RadioAstron and all of the 24 GLONASS low-orbit satellites with minor eccentricities. The magnitudes of the effect and its variations depending on the changes in the satellite orbit parameters are calculated. The accuracy of modern instruments is sufficient to record the effect, and the result obtained will increase the efficiency of their application. In the future, it is planned to evaluate the factors of the Earth oblateness and its gravitational potential.
Keywords: Earth’s space satellite, laser ranging.
| About authors |
E. M. Mazurova Roskadastr Public Nonprofit Company, Moscow, Russia A. N. Petrov Roskadastr Public Nonprofit Company, Sternberg Astronomical Institute (GAISh), Moscow State University, Moscow, Russia F. S. Bakharev Roskadastr Public Nonprofit Company, Moscow, Russia I. A. Klypin Roskadastr Public Nonprofit Company, Moscow State University of Geodesy and Cartography (MIIGAiK), Moscow, Russia |
Mazurova E.M., Petrov A.N., Bakharev F.S., Klypin I.A. Deviation of Electromagnetic Pulses in Earth-Fixed Rotating Reference Frame / Gyroscopy and Navigation, 2024, Vol. 15, No.2, pp. 98-109.
