On Relativistic Doppler Shift

This video is about relativistic doppler shift. Here are the links that I reference in this video: Science Direct https://www.sciencedirect.com/topics/engineering/doppler-frequency-shift Hyper Physics http://hyperphysics.phy-astr.gsu.edu/hbase/Relativ/reldop2.html Spiff.rit.edu http://spiff.rit.edu/classes/phys314/lectures/doppler/doppler.html Latex Editor https://latex.codecogs.com/eqneditor/editor.php Here are some Latex equations that can be plugged into the above Latex editor: Relativistic Blue shift f_{observed} = f_{source}\frac{\sqrt{1-\frac{v^2}{c^2}}}{1 - \frac{v}{c}} f_{observed} = f_{source}\sqrt{\frac{1+\frac{v}{c}}{1-\frac{v}{c}}} f_{observed} = f_{source}\sqrt{\frac{c+v}{c-v}} Relativistic Red shift f_{observed} = f_{source}\frac{\sqrt{1-\frac{v^2}{c^2}}}{1 + \frac{v}{c}} f_{observed} = f_{source}\sqrt{\frac{1-\frac{v}{c}}{1+\frac{v}{c}}} f_{observed} = f_{source}\sqrt{\frac{c-v}{c+v}}