Editing Relativistic Doppler effect (section)

== Summary of major results ==
In the following table, it is assumed that for <math>\beta = v/c > 0</math> the receiver <math> r </math> and the source <math> s </math> are moving away from each other, <math>v</math> being the relative velocity and <math>c</math> the speed of light, and <math display="inline">\gamma = 1/\sqrt{1 - \beta^2}</math>.
{| class="wikitable" style="text-align:center"
|-
! Scenario !! Formula !! Notes
|-
| [[#Relativistic longitudinal Doppler effect|Relativistic longitudinal<br/>Doppler effect]]
| <math>\frac{\lambda_r}{\lambda_s} = \frac{f_s}{f_r} = \sqrt{\frac{1 + \beta}{1 - \beta}}</math>
| 
|-
| [[#Source and receiver are at their points of closest approach|Transverse Doppler effect,<br/>geometric closest approach]]
| <math>f_r = \gamma f_s</math>
| Blueshift
|-
| [[#Receiver sees the source as being at its closest point|Transverse Doppler effect,<br/>visual closest approach]]
| <math>f_r = \frac{f_s}{\gamma}</math>
| Redshift
|-
| [[#One object in circular motion around the other|TDE, receiver in circular<br/>motion around source]]
| <math>f_r = \gamma f_s</math>
| Blueshift
|-
| [[#One object in circular motion around the other|TDE, source in circular<br/>motion around receiver]]
| <math>f_r = \frac{f_s}{\gamma}</math>
| Redshift
|-
|[[#Source and receiver both in circular motion around a common center|TDE, source and receiver<br/>in circular motion around<br/>common center]]
|<math> \frac{f'}{f} = \left( \frac{c^2 - R^2 \omega ^2 }{ c^2 - R' ^2 \omega ^2 } \right) ^{1/2} </math>
|No Doppler shift<br/>when <math>R = R'</math> 
|-
| [[#Motion in an arbitrary direction|Motion in arbitrary direction<br/>measured in receiver frame]]
| <math> f_r = \frac{f_s}{\gamma\left(1 + \beta \cos\theta_r\right)}</math>
| 
|-
| [[#Einstein Doppler shift equation|Motion in arbitrary direction<br/>measured in source frame]]
| <math> f_r = \gamma \left(  1 - \beta \cos \theta_s \right)  f_s</math>
| 
|}