Skip to main content

Kapteyn’s (m, log r) Table and Cosmology

  • Chapter
The Legacy of J.C. Kapteyn

Part of the book series: Astrophysics and Space Science Library ((ASSL,volume 246))

Abstract

The (m, log r) table is a useful tool in solving the fundamental equation of stellar statistics. We discuss Kapteyn’s use of the table in 1902 in studying the distribution of stars. Recently, the table has been adapted to serve in cosmological studies, where the role of distance is taken over by the redshift. We address the bin size used in the table and show that it might as well be made vanishly small, leading to the concepts of V max and V/V max for individual objects of an observed sample. We discuss some applications of the V/V max test for quasars and for gamma-ray bursts.

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

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 129.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 169.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  • Bok, B.J., 1937, The Distribution of Stars in Space, Univ. Chicago Press, Chicago.

    Google Scholar 

  • Fishman, G.J., et al., 1989, in: GRO Science Workshop Proc., ed. W.N. Johnson, Greenbelt (NASA), p.2–39.

    Google Scholar 

  • Kapteyn, J.C., 1902, Publ. Astron. Lab. Groningen, No.11

    Google Scholar 

  • McCuskey, S.W., 1956, Astrophys. J. 123, 458.

    Article  ADS  Google Scholar 

  • Meegan, C., Fishman, G., Wilson, R., Brock, M., Horack, J., Paciesas, W., Pendleton, G., Kouveliotou, C., 1992, in: Gamma-Ray Bursts, ed. W.S. Paciesas and G.J. Fishman AIP Conf. Proc. 265, 61.

    Google Scholar 

  • Schmidt, M., 1968, Astrophys. J. 151, 393.

    Article  ADS  Google Scholar 

  • Schmidt, M., 1970, Astrophys. J. 162, 371.

    Article  ADS  Google Scholar 

  • Schmidt, M., 2000, Astron. Astrophys. Suppl., in press.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

Copyright information

© 2000 Kluwer Academic Publishers

About this chapter

Cite this chapter

Schmidt, M. (2000). Kapteyn’s (m, log r) Table and Cosmology. In: The Legacy of J.C. Kapteyn. Astrophysics and Space Science Library, vol 246. Springer, Dordrecht. https://doi.org/10.1007/978-94-010-9864-9_15

Download citation

  • DOI: https://doi.org/10.1007/978-94-010-9864-9_15

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-1-4020-0374-5

  • Online ISBN: 978-94-010-9864-9

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics