Statistics – Computation
Scientific paper
Aug 1988
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1988apj...331..648r&link_type=abstract
Astrophysical Journal, Part 1 (ISSN 0004-637X), vol. 331, Aug. 15, 1988, p. 648-652. Research supported by the Naturvetenskaplig
Statistics
Computation
4
Computational Astrophysics, Galaxies, Parallax, Trigonometric Functions, Universe, Astrometry, Cosmology, Distance, Flux Density, Optical Measurement
Scientific paper
The role of trigonometric parallaxes in cosmology is discussed. A differential relation between luminosity distance and trigonometric parallax distance is given. The relation is used to calculate the trigonometric parallax distance in Friedmann-Robertson-Walker universes. The resulting expression corrects and simplifies that obtained by Weinberg. It is shown that trigonometric parallaxes give important information about the space-time geometry which makes it possible to determine number densities of conserved classes of objects in the universe (e.g., galaxies) even if no dynamical model for the universe is assumed. On this basis it is argued that measurements of trigonometric parallaxes of objects at cosmological distances offer an opportunity to put cosmology on a more solid observational foundation.
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