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Relativistic Redshift

Redshift happens when light or other electromagnetic radiation from an object is increased in wavelength, or shifted to the red end of the spectrum. Relativistic redshift is caused by the relative motion of the source and the observer (as in the classical Doppler effect), when taking into account effects described by the special theory of relativity.

The redshift plus 1 equals the square root of the speed of light minus the velocity divided by the speed of light plus the velocity.

Formula

1 + QuantityVariable["z", "Unitless"] == Sqrt[(Quantity[None, "SpeedOfLight"] + QuantityVariable["v", "Speed"])/(Quantity[None, "SpeedOfLight"] - QuantityVariable["v", "Speed"])]

symbol description physical quantity
z redshift "Unitless"
v velocity "Speed"

Forms

Examples

Get the resource:

In[1]:=
ResourceObject["Relativistic Redshift"]
Out[1]=

Get the formula:

In[2]:=
FormulaData[ResourceObject["Relativistic Redshift"]]
Out[2]=

Use some values:

In[3]:=
FormulaData[ ResourceObject[ "Relativistic Redshift"], {QuantityVariable["z","Unitless"] -> 0.1`}]
Out[3]=

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