In
standard cosmology,
comoving distance and
proper distance are two closely related
distance measures used by cosmologists to define distances between objects.
Proper distance roughly corresponds to where a distant object would be at a specific moment of
cosmological time, which can change over time due to the
expansion of the universe.
Comoving distance factors out the expansion of the universe, giving a distance that does not change in time due to the expansion of space (though this may change due to other, local factors, such as the motion of a galaxy within a cluster). Comoving distance and proper distance are defined to be equal at the present time; therefore, the ratio of proper distance to comoving distance now is 1. At other times, the
scale factor differs from 1. The Universe's expansion results in the proper distance changing, while the comoving distance is unchanged by this expansion because it is the proper distance divided by that scale factor.