How much does peculiar velocity affect distance measurement?

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SUMMARY

The discussion focuses on the impact of peculiar velocity on distance measurements in cosmology, particularly in relation to the cosmic distance ladder. It highlights the importance of correcting for redshift space distortions when determining the positions of distant galaxies. The conversation emphasizes that while recessional velocities are significantly greater than peculiar velocities, corrections may be necessary for galaxies exhibiting larger-than-normal peculiar velocities. A rule of thumb indicates that peculiar velocities typically approximate 1000 km/s, with potential increases in dense clusters.

PREREQUISITES
  • Understanding of General Relativity (GR)
  • Familiarity with the cosmic distance ladder
  • Knowledge of redshift space distortions
  • Basic concepts of galaxy distribution in cosmology
NEXT STEPS
  • Research the methodology for correcting redshift space distortions in galaxy surveys
  • Study the effects of peculiar velocity on cosmological measurements
  • Explore recent papers on peculiar velocity and its implications in cosmology
  • Learn about the tools used for measuring galaxy distances and velocities
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Astronomy students, cosmologists, and researchers interested in the intricacies of galaxy distance measurements and the effects of peculiar velocity on cosmological data analysis.

TomServo
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I'm a PhD student who's taken GR, so I have studied gravity and cosmology, and we have the underlying assumption of homogeneity and isotropy, but since this assumption comes from how we've calculated the distribution of galaxies in the visible universe I want to make sure I really understand it.

I have read about the cosmic distance ladder, but what I'm wondering is when astronomers make their measurements of where distance galaxies "are" in relation to the Sun's frame, after calculating this distance from us, do they then perform any sort of final correction (or give a range) for where that galaxy would be *now* given some measured transverse component of velocity against the celestial globe? And if so, are these "corrected" positions the information from which our cosmic galaxy distributions are generated, or do we simply use the "raw" distances?

I gather that the recessional velocity can be orders of magnitude greater than peculiar velocity, but I'm wondering if for very distant objects with a larger-than-normal peculiar velocity, some correction ought to be made? Are there any good papers that review how this is carried out in a way a non-specialist could understand? Thanks.
 
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These effects are called "redshift space distortions", and they need to be corrected for. This website might be a good place to start.
 
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Also, a quick rule of thumb: peculiar velocities tend to be of the order of 1000 km/s. In dense clusters, they can go faster, but usually within an order of magnitude. That can be used to provide a rough idea.
 
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