How they get to the 3rd equation

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SUMMARY

The discussion centers on the derivation of the third equation related to frequency and velocity, specifically the equation (f-f0)/f0=(1-(v/c)²/2)/(1-v/c). Participants clarify that simplifying the right-hand side leads to the expression (v/c-(v/c)²/2)/(1-v/c). By assuming that the velocity (v) is much less than the speed of light (c), the equation simplifies to v/c, providing a clearer understanding of the relationship between frequency and velocity in this context.

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  • Understanding of basic algebraic manipulation
  • Familiarity with the concepts of frequency and velocity
  • Knowledge of the speed of light as a constant (c)
  • Basic principles of special relativity
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asfd
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I don't understand hLink how they get to the 3rd equation... I'm completely lost...
 
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(f-f0)/f0=(1-(v/c)2/2)/(1-v/c)-1
(f=frequency, v=velocity)

Simplify right hand side to get:(v/c-(v/c)2/2)/(1-v/c)

Assume v<<c, you end up with v/c.
 

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