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

Schmidt, Maarten (2000) Kapteyn’s (m, log r) Table and Cosmology. In: The Legacy of J.C. Kapteyn: Studies on Kapteyn and the Development of Modern Astronomy. Astrophysics and Space Science Library. No.246. Springer , Dordrecht, pp. 325-336. ISBN 978-1-4020-0374-5.

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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.

Item Type:Book Section
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Additional Information:© 2000 Kluwer Academic Publishers.
Series Name:Astrophysics and Space Science Library
Issue or Number:246
Record Number:CaltechAUTHORS:20200221-152053391
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:101472
Deposited By: Tony Diaz
Deposited On:22 Feb 2020 19:32
Last Modified:16 Nov 2021 18:02

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