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Comoving and proper distances information


In standard cosmology, comoving distance and proper distance (or physical distance) are two closely related distance measures used by cosmologists to define distances between objects. 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).[1] 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 and proper distance are defined to be equal at the present time. At other times, the Universe's expansion results in the proper distance changing, while the comoving distance remains constant.

  1. ^ Huterer, Dragan (2023). A Course in Cosmology. Cambridge University Press. ISBN 978-1-316-51359-0.

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Comoving and proper distances

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cosmology, comoving distance and proper distance (or physical distance) are two closely related distance measures used by cosmologists to define distances between...

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Distance measure

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with time, as comoving distance accounts for the expansion of the universe. Comoving distance is obtained by integrating the proper distances of nearby fundamental...

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Proper length

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tensor that is normalized to use a distance, or that uses geometrized units. Invariant interval Proper time Comoving distance Relativity of simultaneity Moses...

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Expansion of the universe

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disadvantage of wrongly implying that the expansion has a center and an edge. Comoving and proper distances Overbye, Dennis (20 February 2017). "Cosmos Controversy:...

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Observable universe

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corresponds to a comoving volume of about 1.22×104 Gpc3 (4.22×105 Gly3 or 3.57×1080 m3). These are distances now (in cosmological time), not distances at the time...

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Proper frame

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A proper frame, or comoving frame, is a frame of reference that is attached to an object. The object in this frame is stationary within the frame, which...

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Particle horizon

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cosmological horizon, the comoving horizon (in Scott Dodelson's text), or the cosmic light horizon) is the maximum distance from which light from particles...

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Cosmological horizon

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existence, properties, and significance of a cosmological horizon depend on the particular cosmological model. In terms of comoving distance, the particle horizon...

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List of the most distant astronomical objects

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proper distance provides a measurement of how far a galaxy is at a fixed moment in time. At the present time the proper distance equals the comoving distance...

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Spacetime

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frame can always be found which is momentarily comoving with the particle. This frame, the momentarily comoving reference frame (MCRF), enables application...

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Coordinate time

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Coordinate Time (TCB) is based on a reference frame comoving with the barycenter of the Solar System, and has been defined for use in calculating motion of...

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Event horizon

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largest comoving distance from which light emitted in the past could reach the observer at a given time. For events that occur beyond that distance, light...

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Length contraction

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a comoving observer; though it "really" exists, i.e. in such a way that it could be demonstrated in principle by physical means by a non-comoving observer...

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Angular diameter distance

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object at redshift, z {\displaystyle z} , is expressed in terms of the comoving distance, r {\displaystyle r} as: d A = S k ( r ) 1 + z {\displaystyle d_{A}={\frac...

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Experimental testing of time dilation

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A and the encounter with Earth at D is on the muon's worldline, only a clock comoving with the muon and thus resting in S′ can indicate the proper time...

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Rindler coordinates

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time T = 0 at position X = 1/α (with α as the constant proper acceleration measured by a comoving accelerometer), then the hyperbolic coordinates are often...

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Spacetime diagram

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Accelerating frames require that one understand the concept of a momentarily comoving reference frame (MCRF), which is to say, a frame traveling at the same...

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61 Cygni

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1934, and orbital elements were published. In 1911, Benjamin Boss published data indicating that the 61 Cygni system was a member of a comoving group...

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Special relativity

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the same speed in the same direction are said to be comoving. Therefore, S and S′ are not comoving. The principle of relativity, which states that physical...

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Redshift

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wavelength that would be measured by an observer located adjacent to and comoving with the source. Since in astronomical applications this measurement...

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Gamma Geminorum

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Shaya, Ed J.; Olling, Rob P. (January 2011), "Very Wide Binaries and Other Comoving Stellar Companions: A Bayesian Analysis of the Hipparcos Catalogue"...

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