Skip to main content
SpringerLink
Log in

Source inclination and the resolution provided in 3D Doppler tomography

  • Published:
Astronomy Reports Aims and scope Submit manuscript

Abstract

The resolution provided in 3D Doppler tomography is analyzed. The basis for correcting 3D tomographic structures taking into account the influence of the inclination of the structure on the geometry of the summarized transfer function (STF) used in the reconstruction is presented. The same resolution can be achieved along the axis of rotation and in the orbital plane of a system for an inclination of 54°44′. The positions of the centers of structural features in a tomogram should be preserved when correcting for differences in elongation along the main axes due to the difference in resolution along these axes. Examples of simulations used to estimate possibilities for 3D reconstruction in the central sector of inclination angles, and also for values of these angles near the periphery, are presented. A comparison with results obtained using the radioastronomical approach (RA) and the filtered back-projectionmethod testifies that the latter leads to appreciably larger distortions during a 3D reconstruction. The effectiveness of considering two inclinations, as can be realized for precessing systems, is indicated; this can also be useful in other practical applications.

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

Access this article

Log in via an institution

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

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. M. I. Agafonov and O. I. Sharova, Astron. Rep. 57, 7 (2013).

    Article  ADS  Google Scholar 

  2. M. I. Agafonov and O. I. Sharova, Radiophysics and Quantum Electronics 48, 329 (2005).

    Article  ADS  Google Scholar 

  3. M. I. Agafonov, M. T. Richards, and O. I. Sharova, Astrophys. J. 652, 1547 (2006).

    Article  ADS  Google Scholar 

  4. M. I. Agafonov, O. I. Sharova, and M. T. Richards, Astrophys. J. 690, 1730 (2009).

    Article  ADS  Google Scholar 

  5. M. T. Richards, O. I. Sharova, and M. I. Agafonov, Astrophys. J. 720, 996 (2010).

    Article  ADS  Google Scholar 

  6. M. T. Richards, M. I. Agafonov, and O. I. Sharova, Astrophys. J. 760 (2012).

  7. O. I. Sharova, M. I. Agafonov, E. A. Karitskaya, N. G. Bochkarev, S. V. Zharikov, G. Z. Butenko, and A. V. Bondar, in From Interacting Binaries to Exoplanets: Essential Modeling Tools, Ed. by M. Richards and I. Hubeny, Proc. IAU Symp. 282, 201 (2012).

  8. R. Gordon, inIAU Colloquium no. 49 on Image Formation fromCoherence Functions in Astronomy, Ed. by C. van Schooneveld (Dordrecht, Reidel, 1979; Mir, Moscow, 1982), p. 306.

  9. K. T. Smith, D. C. Solmon, and S. L. Wagner, Bull. Am.Math. Soc. 83, 1227 (1977).

    Article  MATH  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Radio Physical Research Institute, Nizhni Novgorod, Russia

    M. I. Agafonov & M. Yu. Sidorov

Authors
  1. M. I. Agafonov
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. M. Yu. Sidorov
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to M. I. Agafonov.

Additional information

Original Russian Text © M.I. Agafonov, M.Yu. Sidorov, 2014, published in Astronomicheskii Zhurnal, 2014, Vol. 91, No. 6, pp. 481–489.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Agafonov, M.I., Sidorov, M.Y. Source inclination and the resolution provided in 3D Doppler tomography. Astron. Rep. 58, 406–414 (2014). https://doi.org/10.1134/S1063772914060018

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S1063772914060018

Keywords

Search

Navigation