Skip to main content
Log in

Compensation of Atmospheric Hindrances in Measuring the Gravitational Redshift Using Satellites On-board Clocks

  • Published:
Gravitation and Cosmology Aims and scope Submit manuscript

Abstract

The possibility of compensating the atmospheric influence on precision measurement of gravitational ‘‘redshift’’ using the Earth orbiting satellites is discussed. For a communication radio signal propagating from a ground-based tracking station to a spacecraft and back, the interaction with the ionosphere and the troposphere produces a undesirable contribution to the total frequency shift which must be removed by specific data processing. In the paper we present a brief overview of atmospheric hindrances with estimation of their magnitudes. Then, the algorithms for filtering the gravitational effects against the atmospheric noise background are considered. The efficiency of such filtering is illustrated using the example of gravitational measurements with Spectr-R satellite in the RadioAstron mission.

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.

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7

Similar content being viewed by others

Notes

  1. ftp://webinet.asc.rssi.ru

REFERENCES

  1. A. V. Gusev and V. N. Rudenko, Grav. Cosmol. 24 (4), 393–400 (2018).

    Article  ADS  Google Scholar 

  2. R. F. C.Vessot et al., Phys. Rev. Lett. 45, 2081 (1980).

    Article  ADS  Google Scholar 

  3. M. He, L. Stringhetti, B. Hummelsberger, et al., Acta Astronautica 69, 929 (2011).

    Article  ADS  Google Scholar 

  4. L. Cacciapuootti and C. Salomon, Eur. Phys. J. Spec. Top. 57, 172 (2009)

    Google Scholar 

  5. C. Lammerzahl, H. Dittus, A. Peters, and S. Schiller, Class. Quantum Grav. 18, 2499 (2001).

    Article  ADS  Google Scholar 

  6. H. Dittus, C. Lammerzahl, A. Peters, and S. Schiller, Adv. Space Res. 39, 230 (2007).

    Article  ADS  Google Scholar 

  7. R. Angelil, P. Saha, R. Bondarescu, P. Jetzer, A. Schiarer, and A. Lundgren, Phys. Rev. D 89, 064067 (2014).

    Article  ADS  Google Scholar 

  8. C. M. Will, Living Rev. Relativ. 17, 4 (2014).

    Article  ADS  Google Scholar 

  9. N. Ashby, Living Rev. Relativ. 6, 1 (2003).

    Article  ADS  Google Scholar 

  10. R. Bondarescu, A. Schiarer, P. Jetzer, R. Angelil, P. Saha, and A. Lundgren, Eur. Phys. J. Web of Conferences 95, 02002 (2015).

  11. A. Schnider, R. Angelil, R. Bondarescu, Ph. Jetzer, and A. Lundgren, Phys. Rev. D 90, 123005 (2014); arXiv: 1410.7914.

    Article  ADS  Google Scholar 

  12. D. Philipp, E. Hackmann, and C. Lammerzahl, arXiv: 1711.01237.

  13. Sven Herrmann, Felix Finke, Martin Llf, Olga Kichakova, et al., Phys. Rev. Lett. 121, 231102 (2018).

    Article  ADS  Google Scholar 

  14. P. Delva, N. Puchades, E. Schnemann, F. Dilssner, et al., Phys. Rev. Lett. 121, 231101 (2018).

    Article  ADS  Google Scholar 

  15. N. S. Kardashev, V. V. Khartov, V. V. Abramov, et al., Astron. Rep. 57 (3), 153 (2013).

    Article  ADS  Google Scholar 

  16. A. V. Biriukov, V. L.. Kauts, V. V. Kulagin, et al., Astron. Reports 58, 783–795 (2014).

    Article  ADS  Google Scholar 

  17. D. A. Duev, G. Molera, C. Calvis, S. V. Pogrebenko, L. I. Gurvits, and G. Cime, Astron. Astrophys. 541, A43 (2012).

    Article  ADS  Google Scholar 

  18. D. Litvinov, V. Rudenko, et al., Phys. Lett. A 382, 2192 (2018).

    Article  ADS  Google Scholar 

  19. V. Rudenko, S. Popov, and A. Belonenko, arXiv: 1912.04803.

  20. A. V. Biriukov, V. L. Kauts, V. V. Kulagin, et al., ‘‘Gravitational ‘‘redshift’’ test with the space radio telescope RadioAstron,’’ Astron. Reports 58, 783–795 (2014).

    Article  ADS  Google Scholar 

  21. B. Zolesi and L. Cander, Ionospheric Prediction and Forecasting (Springer, Berlin, 2014),

    Book  Google Scholar 

  22. K. Saha, The Earth’s Atmosphere Its Physics and Dynamics (Springer, Berlin, 2008).

    MATH  Google Scholar 

  23. F. S. Crawford, Waves, Berkeley Physics Course 3 (McGraw-Hill, 1968).

    Google Scholar 

  24. R. Ors, M. Hernandez-Pajares, J. Juan, and J. Sanz, J. ‘‘Improvement of global ionospheric VTEC maps by using kriging interpolation technique,’’ J Atmosph. Solar-Terrestr. Phys. 67 (16), 1598 (2005).

    Google Scholar 

  25. H. Alizadeh, S. Schuh, M. Todorova, et al., J. Geodesy 85 (12), 975 (2011).

    Article  ADS  Google Scholar 

  26. https://www.mathworks.com/help/signal/ref/ sgolayfilt.html

  27. H. S. Hopfield, ‘‘Tropospheric effect on electromagnetically measured range: prediction from surface weather data,’’ Radio Sci. 6 (3), 357–367 (1971).

    Article  ADS  Google Scholar 

  28. N. V. Nunes, N. Bartel , M. F. Bietenholz et al., ‘‘The gravitational redshift monitored with RadioAstron from near Earth up to 350.000 km,’’ Adv. Space Research 65, 790 (2020).

    Article  ADS  Google Scholar 

  29. webinet.asc.rssi.ru

Download references

Funding

The research for the RadioAstron gravitational ‘‘redshift’’ experiment is supported by the Russian Science Foundation grant 17-12-01488. The RadioAstron project is led by the Astro Space Center of the Lebedev Physical Institute of the Russian Academy of Sciences and the Lavochkin Scientific and Production Association under a contract with the Russian Federal Space Agency, in collaboration with partner organizations in Russia and other countries. We have to mark especially the role of JIVE Institution in the Netherlands and the Youk University in Canada.

Author information

Authors and Affiliations

Authors

Corresponding authors

Correspondence to A. V. Belonenko, S. M. Popov or V. N. Rudenko.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Belonenko, A.V., Popov, S.M. & Rudenko, V.N. Compensation of Atmospheric Hindrances in Measuring the Gravitational Redshift Using Satellites On-board Clocks. Gravit. Cosmol. 26, 128–135 (2020). https://doi.org/10.1134/S0202289320020036

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S0202289320020036

Navigation