Red shift Blue shift

lnsanity

I want to know if the red or blue shift apply if I am moving away or toward a light beam and if it still apply if I am moving the light beam source with me forward or backward.

Agent M27

That is the entire reason for red/blue shifts of electromagnetic waves. When one is stationary with respect to the galaxy or source of light in question, and that light is moving radially toward us or away the waves will be stretched or contracted depending on it's motion. This doesn't mean that perceptually you will see "red" light or "blue" light, but when analyzing the spectrum you can determine where the lines ought to be and where they actually are, shifted towards the blue or red end of the spectrum. The same stands for the light in your hand although you wouldn't be able to tell the difference due to the slow velocity with which you're moving the light source.

clem

The Doppler shifts depend only on the relative velocity between source and observer.

lnsanity

So that mean it apply when I am moving away or toward a light beam but does not apply when I am moving the light beam source with me forward or backward right ?

ripoli85

yes you´re right.
if the light source is moving towards you(or if you´re moving towards the light source if you will), the electromagnetic waves(visible light for instance) will be shifted towards blue.
if the light source is moving away from you, the electromagnetic waves will be shifted towards red.

clem

If there is no relative velocity, there is no Doppler shift.

TcheQ

Andromeda Galaxy= moving towards us=blueshift
Sombrero Galaxy=moving away from us=redshift