Advertisement

Astronomy Reports

, Volume 62, Issue 12, pp 1021–1025 | Cite as

Use of an Analytical Theory for the Physical Libration of the Moon to Detect Free Nutation of the Lunar Core

  • N. K. PetrovaEmail author
  • Yu. A. Nefedyev
  • A. A. Zagidullin
  • A. O. Andreev
Article
  • 7 Downloads

Abstract

A brief review of modern observational achievements and the theoretical basis of physical libration of the Moon is presented. Special attention is given to the inferred existence of a lunar core and determination of its parameters. The creation of a theory of physical libration of the Moon, which requires analyses of semi-empirical series of long-term laser observations and the use of the highly accurate DE421 dynamical ephemeris, is related to this. A large role in this area has been played by the analytical theory of physical libration of the Moon constructed by Yu.V. Barkin, which made it possible for the first time to derive parameters of the free nutation of the lunar core from observations. This paper is based on a talk given at the conference “Modern Astrometry 2017,” dedicated to the memory of K.V. Kuimov (Sternberg Astronomical Institute, Moscow State University, October 23–25, 2017).

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    N. Rizvanov, Y. Nefed’ev, and M. Kibardina, Solar System Res. 41, 140 (2007).ADSCrossRefGoogle Scholar
  2. 2.
    R. F. Garcia, J. Gagnepain-Beyneix, S. Chevrot, and P. Lognonné, Phys. Earth Planet. Inter. 188, 96 (2011).ADSCrossRefGoogle Scholar
  3. 3.
    R. Weber, P. Lin, E. J. Garnero, Q. Williams, and P. Lognonné, Science (Washington, DC, U. S.) 331, 309 (2011).ADSCrossRefGoogle Scholar
  4. 4.
    V. A. Kronrod and O. L. Kuskov, Izv. Phys. Solid Earth 47, 711 (2011).ADSCrossRefGoogle Scholar
  5. 5.
    J. G. Williams, D. H. Boggs, C. F. Yoder, J. T. Ratcliff, and J. O. Dickey, J. Geophys. Res. Planets 106, 27933 (2001).ADSCrossRefGoogle Scholar
  6. 6.
    J. G. Williams, A. S. Konopliv, and D. H. Boggs, J.Geophys. Res. Planets 119, 1546 (2014).ADSCrossRefGoogle Scholar
  7. 7.
    J. G. Williams, D.H. Boggs, and J. T. Ratcliff, in Proceedings of the 45th Lunar and Planetary Science Conference, LPI Contr., No. 1777, 1579 (2014).ADSGoogle Scholar
  8. 8.
    K. Matsumoto, S. Goossens, Y. Ishihara, Q. J. Liu, et al., J. Geophys.. 115, E06007 (2010).ADSGoogle Scholar
  9. 9.
    S. Goossens, K.Matsumoto,Q. Liu, F. Kikuchi, et al., J. Geodesy 85, 205 (2011).ADSCrossRefGoogle Scholar
  10. 10.
    A. Konopliv, R. Park, D.-N. Yuan, S. Asmar, et al., J.Geophys. Res. Planets 118, 1415 (2013).ADSCrossRefGoogle Scholar
  11. 11.
    F. G. Lemoine, S. Goossens, T. J. Sabaka, J. B. Nicholas, et al., J. Geophys. Res. 41, 3382 (2013).Google Scholar
  12. 12.
    W. M. Folkner, J. G. Williams, D. H. Boggs, R. S. Park, and P. Kuchynka, Interplanet. Network Prog. Rep. 42, 196 (2014).Google Scholar
  13. 13.
    N. Petrova, A. Zagidullin, Y. Nefedyev, V. Kosulin, and A. Andreev, Adv. Space Res. 60, 2303 (2017).ADSCrossRefGoogle Scholar
  14. 14.
    N. Rambaux and J. G. Williams, Celest. Mech. Dyn. Astron. 109, 85 (2011).ADSCrossRefGoogle Scholar
  15. 15.
    J. Laskar, Celest. Mech. Dyn. Astron. 56, 191 (1993).ADSCrossRefGoogle Scholar
  16. 16.
    J. Chapront and M. Chapront-Touze, in IAU Colloquium 165: Dynamics and Astrometry of Natural and Artificial Celestial Bodies, Ed. by I.M.Wytrzyszczak, J.H. Lieske, and R. A. Feldman (Kluwer Academic, Dordrecht, Boston, 1997), p. 31.Google Scholar
  17. 17.
    M. Moons, Moon Planets 27, 257 (1982).ADSCrossRefGoogle Scholar
  18. 18.
    N. Petrova, A. Gusev, H. Hanada, and N. Kawano, Adv. Space Res. 42, 1398 (2008).ADSCrossRefGoogle Scholar
  19. 19.
    Y.-Z. Yang, J.-L. Li, J.-S. Ping, and H. Hanada, Res. Astron. Astrophys. 17, 127 (2017).ADSCrossRefGoogle Scholar
  20. 20.
    Yu. V. Barkin, H. Hanada, K. Matsumoto, S. Sasaki, and M. Yu. Barkin, Solar Syst. Res. 48, 403 (2014).ADSCrossRefGoogle Scholar
  21. 21.
    C. F. Yoder, Philos. Trans., Ser. A 303 (1477), 327 (1981).ADSCrossRefGoogle Scholar
  22. 22.
    Yu. V. Barkin, J. M. Ferrandiz, and J. F. Navarro, in Proceedings of the European Planetary Science Congress 2008 (2008), p. 141.Google Scholar
  23. 23.
    A. S. Dubrovskii and Yu. A. Chikanov, Astron. Rep. 64, 430 (1987).Google Scholar
  24. 24.
    B. Kondratyev, Solar Syst. Res. 47 (3), 147 (2013).ADSCrossRefGoogle Scholar

Copyright information

© Pleiades Publishing, Ltd. 2018

Authors and Affiliations

  • N. K. Petrova
    • 1
    • 2
    Email author
  • Yu. A. Nefedyev
    • 1
  • A. A. Zagidullin
    • 1
  • A. O. Andreev
    • 1
  1. 1.Kazan (Volga Region) Federal UniversityKazanRussia
  2. 2.Kazan State Power Engineering UniversityKazanRussia

Personalised recommendations