How much does peculiar velocity affect distance measurement?

In summary, the conversation discusses the assumptions made in the study of gravity and cosmology, specifically the underlying assumption of homogeneity and isotropy. The speaker also questions whether astronomers make final corrections for the transverse component of velocity when measuring the distance of galaxies. They also discuss the effects of redshift space distortions and provide a general rule of thumb for peculiar velocities. The speaker asks for recommendations for papers that review this topic in a way that is understandable for non-specialists.
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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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FAQ: How much does peculiar velocity affect distance measurement?

How does peculiar velocity affect the accuracy of distance measurements?

Peculiar velocity, also known as Doppler shift, can affect the accuracy of distance measurements by causing objects to appear either closer or farther away than they actually are. This is because objects that are moving towards us will have a blue-shifted spectrum, making them appear closer, while objects that are moving away from us will have a red-shifted spectrum, making them appear farther away.

Can peculiar velocity be accounted for in distance measurements?

Yes, peculiar velocity can be accounted for in distance measurements by using a correction factor known as the Hubble constant. This constant takes into account the expansion of the universe and the peculiar velocities of objects within it, allowing for more accurate distance measurements.

What other factors can affect distance measurements besides peculiar velocity?

Other factors that can affect distance measurements include the presence of dust or gas clouds, which can absorb or scatter light, making objects appear dimmer or farther away than they actually are. The type of object being measured, such as a star or a galaxy, can also impact the accuracy of distance measurements.

How does the distance to an object impact its observed peculiar velocity?

The distance to an object does not directly impact its peculiar velocity. However, because peculiar velocity is measured by comparing the observed spectrum of an object to its expected spectrum, the distance to an object can indirectly affect its observed peculiar velocity. This is because the farther away an object is, the more its spectrum will be red-shifted due to the expansion of the universe, making it more difficult to accurately measure its peculiar velocity.

What is the significance of measuring peculiar velocity in distance calculations?

Measuring peculiar velocity is crucial in accurately calculating distances in the universe. Without taking into account the effects of Doppler shift, distance measurements would be significantly off, leading to incorrect estimations of the size and age of the universe. Peculiar velocity also provides important insights into the motions and dynamics of objects within the universe.

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