Peculiarities of movement of geostationary satellites

  • B.I. Demchenko V.G. Fesenkov Astrophysical Institute, Almaty, Kazakhstan
  • A.A. Komarov Al Farabi Kazakh National University, Kazakstan, Almaty
  • A.V. Serebryanskiy V.G. Fesenkov Astrophysical Institute, Almaty, Kazakhstan
  • L.A. Usoltseva V.G. Fesenkov Astrophysical Institute, Almaty, Kazakhstan
  • Ch.B. Akniyazov V.G. Fesenkov Astrophysical Institute, Almaty, Kazakhstan

Abstract

The definition of an ideal geostationary satellite (GSS) is given. It is practically impossible to deduce a GSS strictly on an ideal orbit. The difference between the real GSS and the ideal is shown. The problem of GSS cataloging is discussed. As the launch of new objects or correction of orbits of already existing satellites, the current directory has to be constantly supplemented and updated. A simplified theory of the longitude change of the GSS with time is given, taking into account the second sectorial harmonic in the expansion of the geopotential. On the basis of this theory, two classes of uncontrolled GSS (libration and drifting) are distinguished, and an estimate of the resonant perturbations for both classes is given. An empirical evolutionary «inclination-node» diagram for the orbital plane of the GSS for the period 1991-2016 is given.

References

1. Сочилина А.С., Вершков А.Н., Григорьев К.В., Киладзе Р.И., Гаязов И.С. Каталог улучшенных орбит неуправляемых геостационарных объектов. – С.-Петербург: ИТА РАН, 1994. - Т.1. - 102 с.; - Т.2. - 95 с.
2. Сочилина А.С., Киладзе Р.И., Григорьев К.В., Вершков А.Н. Каталог орбит геостационарных спутников. – С.-Петербург: ИТА РАН, 199. – 104 с.
3. Диденко А.В., Демченко Б.И., Усольцева Л.А., Афонин А.Н., Калюжный Е.А., Гордыгага Н.Н., Старожилов Н.И., Зикрань В.А., Есенгали С.Р., Кабенко Ф.Х. Зональный каталог геостационарных спутников. Вып.2. – Алматы: Гылым, 2000. – 108 с.
4. Evidence for historical satellite fragmentations in and near the geosynchronous regime. Proceedings of the Third European Conference on Space Debris, 19 - 21 March 2001, Darmstadt.
5. http://www.planet4589.org/space/log/geo.log
6. http://celectrak.com/NORAD/elements/geo.txt
7. http://spacedata.vimpel.ru/ru
8. Жаров В.Е. Сферическая астрономия. Фрязино, 2006. – 480 с.
9. Абалакин В.К., Аксенов Е.П., Гребенников Е.Д., Дёмин В.Г., Рябов Ю.А. Справочное руководство по небесной механике и астродинамике / под ред. Дубошина Г.Н. – М.: Наука, 1976. – 864 с.
10. Киладзе Р.И., Сочилина А.С. Теория движения геостационарных спутников. – С.-Петербург, 2008. – 132 с.
11. Демченко Б.И., Воропаев В.А., Комаров А.А., Молотов И.Е., Серебрянский А.В., Усольцева Л.А. Некоторые характеристики множества геостационарных спутников // Известия НАН РК. Сер. физ.-мат. – 2016. - № 5. - C.64-75.
12. Справочник по специальным функциям /под ред. М. Абрамовица и И. Стиган. – М.: Наука, 1979. – 832 с.
13. Агеев М.И., Алик В.П., Марков И Ю. Библиотека алгоритмов 151Б-200Б. Вып.4. –М.: Радио и связь, 1981. – 184 с.
14. Субботин М.Ф. Введение в теоретическую астрономию. – М., Наука, 1968. – 800 с.

References
1. A.S. Sochilina, A.N. Vershkov, K.V. Grigoriev, R.I. Kiladze, and I.S. Gayazov Catalog of improved orbits of uncontrolled geostationary objects, (St. Petersburg: ITA RAS, 1994), vol.1, 102 p.; vol.2, 95 p. (in Russ).
2. A.S. Sochilina, R.I. Kiladze, K.V. Grigoriev, and A.N. Vershkov, Catalog of the orbits of geostationary satellites, (St. Petersburg: ITA RAS, 1996), 104 p. (in Russ).
3. А.V. Didenko, B.I. Demchenko, L.А. Usoltseva, А.N. Аfonin, E.A. Kalyuzhny, N.N. Gordygaga, N.I. Starogilov, V.A. Zikran, C.R. Esengali, and F.Kh. Kabenko, Zonal catalog of geostationary satellites, Issue 2, (Almaty: Gylym, 2000), 108 p. (in Russ).
4. Evidence for historical satellite fragmentations in and near the geosynchronous regime, Proceedings of the 3rd European Conf. on Space Debris, 19 - 21 March 2001, Darmstadt.
5. http://www.planet4589.org/space/log/geo.log
6. http://celectrak.com/NORAD/elements/geo.txt
7. http://spacedata.vimpel.ru/ru
8. V.Ye. Zharov, Spherical astronomy. (Fryazino, 2006), 480 p. (in Russ).
9. V.K Abalakin., E.P. Aksenov, E.D. Grebennikov, V.G. Demin, and Yu.A. Ryabov Reference guide to celestial mechanics and astrodynamics / edited by Duboshin G.N. (Moscow: Science, 1976), 864 p. (in Russ).
10. R.I. Kiladze and A.S. Sochilina The theory of motion of geostationary satellites, (St. Petersburg, 2008), 132 p. (in Russ).
11. B.I. Demchenko, V.A. Voropaev, A.A. Komarov, I.E. Molotov, A.V. Serebryanskiy, and L.A. Usoltseva, Izvestiya NAS RK. Ser. fiz.-mat. 5, 64-75, (2016). (in Russ).
12. Handbook of special functions / edited by M. Abramovits and I. Stigan, (Moscow: Science, 1979), 832 p. (in Russ).
13. M.I. Ageev, V.P. Alik, and I.Yu. Markov Library of Algorithms 151B-200B. Issue 4, (Moscow: Radio and Communication, 1981), 184 p. (in Russ).
14. M.F. Subbotin Introduction to theoretical astronomy, (Moscow: Science, 1968), 800 p. (in Russ.).
Published
2018-04-03
How to Cite
DEMCHENKO, B.I. et al. Peculiarities of movement of geostationary satellites. Recent Contributions to Physics (Rec.Contr.Phys.), [S.l.], v. 62, n. 3, p. 59-66, apr. 2018. ISSN 1563-0315. Available at: <http://bph.kaznu.kz/index.php/zhuzhu/article/view/565>. Date accessed: 22 july 2018.
Section
Theoretical Physics. Nuclear and Elementary Particle Physics. Astrophysics

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