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The Doppler parameter, often denoted as \( \beta \), is a dimensionless quantity used to describe the relativistic effects of motion in the context of Doppler shift, particularly in astrophysics and cosmology. It is defined as: \[ \beta = \frac{v}{c} \] where: - \( v \) is the relative velocity of an object moving away from or towards an observer, - \( c \) is the speed of light in a vacuum.

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