Abstract
The practical tasks related to qualitative investigation of long-term evolution of high-apogee orbits of artificial Earth satellites (AES), for which the main perturbing factors are gravitational perturbations from the Moon and the Sun, are considered. Attention is given to the problem of the ballistic lifetime of similar orbits, and the issues associated with possibilities of the correction of orbits for ensuring the required duration of their ballistic lifetime are considered. The orbit of the SPECTR-R spacecraft launched in July of 2011 is considered as an example.
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Lidov, M.L., Evolution of orbits of artificial satellites of planets under the action of gravitational perturbations of external bodies, Iskusstvennye Sputniki Zemli, 1961, no. 8, p. 5.
Lidov, M.L., On approximate analysis of evolution of orbits of artificial satellites, in Problemy dvizheniya iskusstvennykh nebesnykh tel. Doklady na konferentsii po obshchim i prikladnym voprosam teoreticheskoi astronomii, Moskva, 20–25 noyabrya 1961 g. (Problems of Motion of Artificial Celestial Bodies. A Collection of Reports on the Conference on General and Applied Issues of Theoretical Astronomy (Moscow, November 20–25, 1961)), Moscow: Astron. Sovet AN SSSR, 1963, pp. 119–134.
Gordeeva, Yu.F., Time dependence of elements of long-periodic oscillations in the restricted three-body problem, Kosm. Issled., 1968, vol. 6, no. 4, p. 536. [Cosmic Research, p. 450].
Vashkov’yak, M.A., Evolution of orbits of the distant moons of Uranus, Pis’ma Astron. Zh., 1999, vol. 23, no. 7, pp. 564–560.
Lidov, M.L. and Yarskaya, M.V., Integrable cases in the problem of orbit evolution for a satellite under simultaneous influence of an external body and non-centrality of the planet’s field, Kosm. Issled., 1974, vol. 12, no. 2, pp. 155–170. [Cosmic Research, p. 139].
Prokhorenko, V.I., On manifolds of initial conditions leading to intersection of orbits of satellites with planet under weak gravitational perturbations, Functional Analysis and Other Mathematics, 2011, vol. 3, no. 2, pp. 135–167. doi: 10.1007/s11853-011-0046-y.
Prokhorenko, V.I., Long-term evolution of satellite orbits under the action of gravitational perturbations, caused by the Earth’s oblateness, with allowance for perturbations from external bodies, Izv. Vyssh. Uchebn. Zaved., Fiz., Izd. TGU, 2006, no. 2, Prilozhenie, pp. 63–73.
Okhotsimskii, D.E., Eneev, T.M., and Taratynova, G.P., Determination of lifetime of a satellite of the Earth and investigation of secular perturbations of its orbit, Usp. Fiz. Nauk, 1957, vol. 63, no. 1, pp. 33–50.
Vashkov’yak, M.A., Special particular cases of solving the doubly averaged Hill problem taking oblateness of the central planet into account, Pis’ma Astron. Zh., 1996, vol. 22, no. 3, pp. 231–240.
Vashkov’yak, M.A., Construction of families of periodically evolving satellite orbits in the regions of approximately equal polar oblateness of the planet and attraction of an external body, Pis’ma Astron. Zh., 1997, vol. 23, no. 3, pp. 229–235.
Vashkov’yak, M.A. and Teslenko, N.M., A refined model of evolution of distant satellite orbits, Pis’ma Astron. Zh., 2009, vol. 35, no. 12, pp. 934–950.
El’yasberg, P.E., Vvedenie v teoriyu poleta iskusstvennykh sputnikov Zemli (Introduction to Theory of Flight of the Earth’s Artificial Satellites), Moscow: Nauka Fizmatlit, 1965.
Prokhorenko, Victoria I., Investigation of the time of ballistic existence for elliptic orbits evolving under the influence of gravitational perturbations of external bodies, Kosm. Issled., 2002, vol. 40, no. 3, pp. 285–294. [Cosmic Reserch, pp. 264–273].
Prokhorenko, V.I., On conditions of intersection of a satellite orbit with the surface of a central body of finite radius in the doubly averaged restricted three-body problem, Trudy MIAN RAN, 2007, vol. 259, pp. 156–173.
Artyukhov, M.I., Khartov, V.V., Shirshakov, A.E., et al., Radioastron space mission: first results Vestnik. Nauchno-Tekhnicheskii zhurnal FGUP NPO im. S.A. Lavochkina, 2012, no. 3, pp. 2–21.
Nazirov, R.R. and Prokhorenko, V.I., Situation analysis in the problems of space physics, Kosm. Issl., 1998, vol. 36, no. 3, pp. 311–322. [Cosmic Research, pp. 292–303].
Nazirov, R.R., Prokhorenko, V.I., and Sheikhet, A.I., A retrospective geometric analysis of the long-term evolution of orbits and the ballistic lifetime for satellites of the Prognoz series, Kosm. Issled., 2002, vol. 40, no. 5, pp. 538–554. [Cosmic Research, pp. 501–516].
Rabinovich, B.I. and Prokhorenko, V.I., A hydrodynamic analogy of the solution to double-averaged Hill problem, Kosm. Issled., 2005, vol. 43, no. 2, pp. 126–134. [Cosmic Research, pp. 122–130].
Rabinovich, B.I. and Prokhorenko, V.I., Hydrodynamic analogy for the solution to the doubly averaged Hill problem disturbed by precession of the orbit plane of a disturbing body, Kosm. Issled., 2005, vol. 43, no. 5, pp. 378–385. [Cosmic Research, pp. 361–368].
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Original Russian Text © V.I. Prokhorenko, 2014, published in Kosmicheskie Issledovaniya, 2014, Vol. 52, No. 2, pp. 132–152.
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Prokhorenko, V.I. On the features of long-term evolution of a high-apogee orbit of the SPECTR-R spacecraft. Cosmic Res 52, 125–144 (2014). https://doi.org/10.1134/S0010952513060051
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DOI: https://doi.org/10.1134/S0010952513060051