To calculate redshift using the values of phase shift in frequencies, follow the derivations. Here's a step-by-step explanation for each case:
Gravitational or Cosmic Redshift:
Start with the formula for 1° phase shift: Z = (λ₀/360) / λ₀, where λ₀ is the wavelength at the source.
Rearrange the equation to express λ₀ in terms of frequency: λ₀ = 1/f₀, where f₀ is the frequency at the source.
Substitute the expression for λ₀ into the redshift formula: Z = ((1/f₀)/360) / (1/f₀).
Simplify the equation to obtain the final formula for gravitational or cosmic redshift: Z = (1/360f₀) / (1/f₀) = 1/360.
Therefore, for gravitational or cosmic waves, the redshift (Z) can be calculated as 1/360 for each 1° phase shift.
Refer the derivation: How to calculate redshift using values of phase shift in frequency of wave equation?
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