Relativistic Doppler Effect (Longitudinal)
fp = f·sqrt((1 - beta) / (1 + beta))
What it says
The observed frequency of light from a source receding along the line of sight at speed fraction beta = v/c is red-shifted relative to the emitted frequency. For an approaching source use a negative beta, which raises the observed frequency.
Symbols
| Symbol | Quantity | Dimension |
|---|---|---|
fp | Observed frequency (Hz) | T^-1 |
f | Source frequency (Hz) | T^-1 |
beta | Speed as fraction of c, v/c (dimensionless) | 1 |
Work it out
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Connects to
Filed under Relativity · derive through it in the explorer