Astrophysics and Space Science

, Volume 186, Issue 1, pp 137–149 | Cite as

The precision of radial-velocity determinations of solar-type stars by cross-correlation

  • Kaylene Murdoch
  • J. B. Hearnshaw


The theoretical limit to the precision (defined as the inverse of the square of the random error) of a radial-velocity determination of a solar-type star obtained from the technique of digital cross-correlation is constructed as a function of simple parameters of the recording of a stellar spectrum.

The relationship is used to establish conditions for maximizing the precision for a given object, exposure time, and observing instrument. Both fibre-fed and Cassegrain-mounted spectrographs are considered.


Exposure Time Random Error Theoretical Limit Simple Parameter Stellar Spectrum 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. Allen, C. W.: 1973,Astrophysical Quantities (3rd ed.), Athlone Press, London, Ch. 4.Google Scholar
  2. Baranne, A., Mayor, M., and Poncet, J. L.: 1979,Vistas Astron. 23, 279.Google Scholar
  3. Beckers, J. M., Bridges, C. A., and Gilliam, L. B.: 1976,A High Resolution Spectral Atlas of Solar Irradiance from 380 to 700 Nanometers, Res. Paper No. 565 AFGL-RE-76-0126(II), Sacramento Peak Observatory, Sunspot.Google Scholar
  4. Borchers, H. and Schmidt, E.: 1964, Landolt-Börnstein (eds.),Numerical Data and Functional Relationships in Physics, Chemistry, Astronomy, Geophysics and Technology IV, 2b, Springer-Verlag, Berlin, p. 46.Google Scholar
  5. Campbell, B. and Walker, G. A. H.: 1979,Publ. Astron. Soc. Pacific 91, 540.Google Scholar
  6. Connes, P.: 1984,Astrophys. Space Sci. 110, 211.Google Scholar
  7. Diego, F.: 1985,Publ. Astron. Soc. Pacific 97, 1209.Google Scholar
  8. Gray, D. F.: 1976,The Observation and Analysis of Stellar Photospheres, Wiley and Sons, New York, Ch. 11.Google Scholar
  9. Griffin, R. and Griffin, R.: 1973,Monthly Notices Roy. Astron. Soc. 162, 243.Google Scholar
  10. Kurucz, R. L.: 1979,Astrophys. J. Suppl. Ser. 40, 1.Google Scholar
  11. MacQueen, P. J.: 1986, Ph.D. Thesis, University of Canterbury.Google Scholar
  12. Merline, W. J.: 1985, in A. G. D. Philip and D. W. Latham (eds.), ‘Stellar Radial Velocities’,IAU Colloq.88, 87.Google Scholar
  13. Murdoch, K. A. and Hearnshaw, J. B.: 1991,Astrophys. Space Sci. 186, 169.Google Scholar
  14. Press, W. H., Flannery, B. P., Teukolsky, S. A., and Vetterling, W. T.: 1988,Numerical Recipes, CUP, New York, Ch. 14.Google Scholar
  15. Simkin, S. M.: 1974,Astron. Astrophys. 31, 129.Google Scholar

Copyright information

© Kluwer Academic Publishers 1991

Authors and Affiliations

  • Kaylene Murdoch
    • 1
  • J. B. Hearnshaw
    • 1
  1. 1.Mt John University Observatory, Dept. of PhysicsUniversity of CanterburyChristchurchNew Zealand

Personalised recommendations