RADIO PHYSICS AND RADIO ASTRONOMY

Purpose: The artificial satellites drag in the atmosphere remains an urgent problem to date. In this work, the artificial satellites data are used in order to study the atmosphere state under various manifestations of solar and geomagnetic activity. The selected satelites were moving uncontrollable being good indicators of the upper atmosphere state. The B-star (drag term) drag coefficient is used in this work. This term is used in the SGP and SDP models to take into account the resistance of the atmosphere to the satelite orbital motion. The data of the drag of two artificial satellites, one moving in elliptical and the other in circular orbits at midlatitudes (orbital plane angles of 58°-60°) were considered. These data include the end of the 23rd solar activity cycle, as well as the growth, the maximum and the decay phases of the 24th solar cycle (years 2005–2017). Seven periods of anomalous drag of the satellites were analyzed. They are: 4 monthly periods (two in 2005 and two in 2011) and 3 yearly periods (within 19.07.2014 to 22.08.2015), five-year long (2005–2010) and six-year long (2011–2017) periods.

Design/methodology/approach: The periodogram analysis was made. This allowed to reveal the periodic processes in changes in the state of the atmosphere of different duration. The correlation coefficients of the B-star drag term with the indices of solar and geomagnetic activity were calculated. The analysis of extreme drag of the satellites in the periods of the increased solar and geomagnetic activity (intervals of observation lasting a month) was made.

Findings: Using the solar and geomagnetic data we found that some month-long part of the anomalous drag periods were followed by flares on the Sun and the arrival of the coronal mass ejections into the near-Earth space. At time intervals of yearlong observations the highest values (0.5-0.7) were obtained for the coefficients of the B-star parameter correlation with the solar activity indices – solar radiation at the wavelength of 10.7 cm, F10.7, and Lyman alpha radiation, Lα. At monthly time intervals, the largest values of the correlation coefficients were obtained for the B-stars with the electron fluxes with energies
above 0.6 and 2 MeV, E, (0.3-0.5), the Lyman alpha radiation, Lα, (0.58–0.73 for a сircular orbit satellite), and the solar constant, TSI, (0.3–0.6), as well as the geomagnetic storms intensity index, Dst , (0.66–0.69). Periodogram calculations show the presence of a whole spectrum of periods in the deceleration of a circular orbit satellite and a dedicated period for an elliptical orbit satellite.

Conclusions: The B-star drag term dependences on the indices of solar and geomagnetic activity during some periods of their intensification for the 23–24 cycles of solar activity are considered. The periodogram analysis made together with the analysis of the conditions and parameters of space weather allows to see the general and more detailed picture of the solar and geomagnetic activity influence on the change in the motion of the satellite in the atmosphere. The B-star drag term helps to consider only the atmosphere influence on the artificial satellite movement in the near-Earth space.

Key words: artificial satellite, atmosphere, artificial satellite drag, solar activity, geomagnetic activity, space weather

Manuscript submitted  19.10.2020

Radio phys. radio astron. 2020, 25(4): 308-323

REFERENCES

1. JACCHIA, L. G., SLOWEY, J. W. and CAMPBELL, I. G., 1968. A Study of the Semiannual Density Variation in the Upper Atmosphere from 1958 to 1966, Based on Satellite Drag Analysis. SAO Spec. Rep. no. 265. DOI: https://doi.org/10.1016/0032-0633(69)90122-6

2. VON ZAHN, U., 1970. Neutral air density and composition at 150 kilometers. J. Geophys. Res. Space. Phys. vol. 75, is. 28, 5517–5527. DOI: https://doi.org/10.1029/JA075i028p05517

3. JACCHIA, L. G., 1965. Density Variations in the Heterosphere. SAO Spec. Rep. No. 184.

4. HARRIS, I. and PRIESTER, W., 1962. Time-dependent structure of the upper atmosphere. J. Atmos. Sci. vol. 19, no. 4, pp. 286–301. DOI: https://doi.org/10.1175/1520-0469(1962)019<0286:TDSOTU>2.0.CO;2

5. NICOLET, M., 1963. Solar radio flux and temperature of the upper atmosphere. J. Geophys. Res. vol. 68, is. 22, pp. 6121–6144. DOI: https://doi.org/10.1029/JZ068i022p06121

6. KING, J. W., ECCLES, D., LEGG, A. J., SMITH, P. A., GALINDO, P. A., KAISER, B. A., PREECE, D. m. and RICE, K. C., 1964. An Explanation of Various Ionospheric and Atmospheric Phenomena including the Anomalous Behaviour of the F-Region. Radio Research Station, Ditton Park, Slough, England. Document No. RRS/I.M. 191, December

7. JACCHIA, L. G., 1967. Recent Results in the Atmospheric Region above 200 km and Comparisons with CIRA 1965. SAO Spec. Rep. no. 245.

8. ROEMER, M. 1967. Geomagnetic activity effect and 27–day variation: response time of the thermosphere and lower exosphere. In: R. L. SMITH-ROSE, S. A. BOWHILL, and J. W. KING, eds. Space Research VII., Amsterdam: North-Holland Publ. Co., pp. 1091–1099.

9. JACCHIA, L. G., 1967. Properties of the Upper Atmosphere Determined from Satellite Orbits. Philos. Tran. R. Soc. Lond. A. vol. 262, no. 1124, pp. 157–171. DOI: https://doi.org/10.1098/rsta.1967.0043

10. DOORNBOS, E. and KLINKRAD, H., 2006. Modelling of space weather effects on satellite drag. Adv. Space Res. vol. 37, is. 6, pp. 1229–1239. DOI: https://doi.org/10.1016/j.asr.2005.04.097

11. KRASSOVSKY, V. I., 1968. Heating of the Upper Atmosphere during Geomagnetic Disturbances. Nature. vol. 217, is. 5134, pp. 1136–1137. DOI: https://doi.org/10.1038/2171136a0

12. COLE, K. D., 1971. Electrodynamic heating and movement of the thermosphere. Planet. Space Sci. vol. 19, is. 1, pp. 59–75. DOI: https://doi.org/10.1016/0032-0633(71)90067-5

13. ILLÉS-ALMÁR, E., 2004. Two distinct sources of magnetospheric heating in the atmosphere: the aurora and ring current. Adv. Space Res. vol. 34, is. 8, pp. 1773–1778. DOI: https://doi.org/10.1016/j.asr.2003.04.059

14. CROFT, T. A., 1971. Corotating Regions in the Solar Wind, Evident in Number Density Measured by a Radio-Propagation Technique. Radio Sci. vol. 6, is. 1, pp. 55–63. DOI: https://doi.org/10.1029/RS006i001p00055

15. SLOWEY, J., 1964. Atmospheric Densities and Temperatures from the Drag Analysis of the Explorer 17 Satellite. SAO Spec. Rep. no. 157.

16. JACCHIA, L. G., SLOWEY, J. and VERNIANI, F., 1967. Geomagnetic perturbations and upper-atmosphere heating. J. Geophys. Res. vol. 72, is. 5, pp. 1423–1434. DOI: https://doi.org/10.1029/JZ072i005p01423

17. KING-HELE, D. G. and WALKER, D. M. C., 1971. Air density at heights near 180 km in 1968 and 1969, from the orbit of 1967-31a. Planet. Space Sci. vol. 19, is. 3, pp. 297–311. DOI: https://doi.org/10.1016/0032-0633(71)90094-8

18. MAY, B. R. and MILLER, D. E., 1971. The correlation between air density and magnetic disturbance deduced from changes of satellite spin-rate. Planet. Space Sci. vol. 19, is. 1, pp. 39–48. DOI: https://doi.org/10.1016/0032-0633(71)90065-1

19. SLOWEY, J. W., 1984. Dynamic model of the Earth’s upper atmosphere. Washington, D.C.: National Aeronautics and Space Administration, Scientific and Technical Information Branch.

20. FRIIS-CHRISTENSEN, E., LASSEN, K., WILHJELM, J., WILCOX, J. M., GONZALEZ, W. and COLBURN, D. S., 1972. Critical component of the interplanetary magnetic field responsible for large geomagnetic effects in the polar cap. J. Geophys. Res. Space Phys. vol. 77, is. 19, pp. 3371–3376. DOI: https://doi.org/10.1029/JA077i019p03371

21. BELETSKY, V. V., 1965. Motion of an Artificial Satellite with Respect to the Center of Mass. Moscow, Russia: Nauka Publ. (in Russian)

22. ROY, A., 1981. Orbital motion. Moscow, Russia: Mir Publ. (in Russian)

23. KELSO, T., 1998. Frequently Asked Questions: Two-Line Element Set Format. Satellite Times. vol. 4, no. 3, pp. 52–54.

24. HOOTS, F. R. and ROEHRICH, R. L., 1988. Models for Propagation of NORAD Element Sets. Spacetrack Report. no. 3.

25. VALLADO, D. A., CRAWFORD, P., HUJSAK, R. and KELSO, T. S., 2017. Revisiting Spacetrack Report no. 3: Rev2. In: AIAA/AAS Astrodynamics Specialists Conference and Exhibit. Keystone, CO: American Institute of Aeronautics and Astronautics, Inc., id. AIAA 2006-6753-Rev2. Available from: http:celestrak.com/publications/AIAA/2006-6753/AIAA-2006-6753-Rev2.pdf DOI: https://doi.org/10.2514/6.2006-6753

26.NATIONAL OCEANIC AND ATMOSPHERIC ADMINISTRATION. Catalog of solar activity and space weather – Weekly [online]. [viewed 18 June 2020]. Available from: ftp://ftp.swpc.noaa.gov/pub/warehouse/2015/WeeklyPDF/