Questions

Does comoving distance change?

Does comoving distance change?

In standard cosmology, comoving distance and proper distance are two closely related distance measures used by cosmologists to define distances between objects. At other times, the Universe’s expansion results in the proper distance changing, while the comoving distance remains constant.

What is comoving distance astronomy?

The comoving distance (line of sight) DC between two nearby objects in the Universe is the distance between them which remains constant with epoch if the two objects are moving with the Hubble flow.

What is the relationship between apparent diameter and distance?

The apparent size of an object is simply the size it appears to be. It therefore depends on the object’s actual size and its distance from the observer. Astronomers use angular measurements to quantify an object’s apparent size.

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How distances are measured in cosmology?

In cosmology, there are many ways to specify the distance between two points. The unifying aspect is that all distance measures somehow measure the separation between events on radial null trajectories, that is, trajectories of photons which terminate at the observer.

How is Comoving distance calculated?

Comoving distance is obtained by integrating the proper distances of nearby fundamental observers along the line of sight (LOS), whereas the proper distance is what a measurement at constant cosmic time would yield.

What is a comoving volume?

The comoving volume VC is the volume in which the number densities of non-evolving objects locked into the Hubble flow are constant with redshift. It is the proper volume times three factors of the relative scale factor from the present epoch to the time at redshift z, or (1 + z)3.

How is comoving volume calculated?

Let’s say your FOV spans a solid angle Ω=θRA×θdec, which measured in radians comprises a fraction Ω/4π of the whole sphere. The total, comoving volume to a comoving distance d is just V=4πd3/3, so the volume of the shell between z=2 and z=3 is V2→3=V3−V2=4π3(d33−d32).

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How does size change with distance?

The relationship between object size and distance is an inverse linear relationship, i.e. size is 1 / distance. This makes sense when you think about it as if you double the distance the size halves.

What is a cosmological distance?

Distance measures are used in physical cosmology to give a natural notion of the distance between two objects or events in the universe. The distance measures discussed here all reduce to the common notion of Euclidean distance at low redshift.

How is luminosity distance calculated?

More generally, the luminosity, apparent flux, and distance are related by the equation f = L/4`pi’d2. If we measure a star’s parallax and its apparent brightness, we can determine its luminosity, which is an important intrinsic property.