Accuracy of long-term forecasting geosynchronous satellite motion / Kuznetsov É.D., Kudryavtsev A.O. // Russian Physics Journal. - 2009. - V. 52, l. 8. - P. 841-849.

ISSN:
10648887
Type:
Article
Abstract:
The accuracy of forecasting geosynchronous satellite motion for 242-year term of forecast using a numerical model of artificial satellite motion taking into account the main perturbing factors including nonsphericity of the Earth's gravitational field, attraction by the Moon and the Sun, tides inside the Earth, direct light pressure with allowance for the Earth's shadow effect, and the Pointing-Robertson effect is considered. It is demonstrated that in this case, perturbations of the Earth's gravitational field harmonics up to the 27th order must be considered. For regular motions, the maximum error in forecasting the geosynchronous satellite position ranges from 0. 14 to 2400 km, the error in forecasting the long semiaxis ranges from 0. 013 to 1100 m, and the error in forecasting the subsatellite point longitude ranges from 0. 069″ to 3. 4° depending on the libration amplitude. The accuracy of forecasting depends on the libration amplitude: the less the libration amplitude, the higher the accuracy of forecasting. For quasi-random trajectories, the integration period for which the errors in forecasting do not exceed values obtained for libration motion is determined by the frequency and proximity of the trajectory to unstable stationary points. For the examples considered, this period is about 200 years. The estimated MEGNO factor confirms the efficiency of the numerical model of artificial satellite motion used to investigate the stochastic properties of geosynchronous satellite motion. © 2009 Springer Science+Business Media, Inc.
Author keywords:
Geosynchronous satellites; Numerical modeling; Orbit evolution
Index keywords:
нет данных
DOI:
10.1007/s11182-010-9309-1
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https://www.scopus.com/inward/record.uri?eid=2-s2.0-77949773059&doi=10.1007%2fs11182-010-9309-1&partnerID=40&md5=03435d7678ab4d74f3796ec3878dfa1f
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Affiliations A. M. Gor'kii Ural State University, Ekaterinburg, Russian Federation; M. V. Lomonosov Moscow State University, Moscow, Russian Federation
Author Keywords Geosynchronous satellites; Numerical modeling; Orbit evolution
References Bordovitsyna, T.V., Baturin, A.P., Avdyushev, V.A., Koneva, P.V., (2004) Fundamental and Applied Problems of Modern Mechanics, , in Russian, Tomsk: Publishing House of Tomsk State University; Mikisha, A.M., Novikova, E.S., Rykhlova, L.V., Smirnov, M.A., (2001) Circumterrestrial Astronomy of the XXI Century, pp. 145-149. , in Russian, Moscow: GEOS; Cincotta, P.M., Giordano, C.M., Simo, C., (2003) Physica, D182, pp. 151-178; Breiter, S., Wytrzyszczak, I., Melendo, B., (2005) Adv. Space Research, 35, pp. 1313-1317; Kuznetsov, É.D., (2003) Izv. Vyssh. Uchebn. Zaved. Fiz., (12 SUPPL.), pp. 74-77; Kuznetsov, É.D., Kaizer, G.T., (2007) Kosm. Issled., 45 (4), pp. 378-386; Kuznetsov, É.D., Kudryavtsev, A.O., (2008) Kosm. Issled., 46 (5), pp. 452-456; Vashkov'yak, M.A., Lidov, M.L., (1973) Kosm. Issled., 12 (3), pp. 347-359; Bordovitsyna, T.V., (1984) Modern Numerical Methods in Problems of Celestial Mechanics, , in Russian, Moscow: Nauka; Lemoine, F.G., Kenyon, S.C., Factor, J.K., (1998) Development of the Joint NASA GSFC and National Imagery and Mapping Agency (NIMA) Geopotential Model EGM96, , NASA/TP-1998-206861, GSFC
Correspondence Address Kuznetsov, É. D.; A. M. Gor'kii Ural State University, Ekaterinburg, Russian Federation; email: Eduard.Kuznetsov@usu.ru
Language of Original Document English
Abbreviated Source Title Russ. Phys. J.
Source Scopus