Skip to main content
Log in

On the features of long-term evolution of a high-apogee orbit of the SPECTR-R spacecraft

  • Published:
Cosmic Research Aims and scope Submit manuscript

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.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. 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.

    Google Scholar 

  2. 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.

    Google Scholar 

  3. 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].

    Google Scholar 

  4. 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.

    Google Scholar 

  5. 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].

    ADS  Google Scholar 

  6. 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.

    Article  MATH  MathSciNet  Google Scholar 

  7. 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.

    Google Scholar 

  8. 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.

    Article  Google Scholar 

  9. 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.

    ADS  Google Scholar 

  10. 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.

    ADS  Google Scholar 

  11. 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.

    ADS  Google Scholar 

  12. 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.

    Google Scholar 

  13. 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].

    Google Scholar 

  14. 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.

    MathSciNet  Google Scholar 

  15. 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.

    Google Scholar 

  16. 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].

    ADS  Google Scholar 

  17. 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].

    Google Scholar 

  18. 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].

    Google Scholar 

  19. 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].

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to V. I. Prokhorenko.

Additional information

Original Russian Text © V.I. Prokhorenko, 2014, published in Kosmicheskie Issledovaniya, 2014, Vol. 52, No. 2, pp. 132–152.

Rights and permissions

Reprints and permissions

About this article

Cite this article

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

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S0010952513060051

Keywords

Navigation