Relativistic Beaming (shooting a laser at 90 degrees from your line of motion)

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Homework Statement


A ship is traveling at a speed of .8c. When the ship is 90 degrees from the target, it shoots a laser downwards. What angle must it shoot the laser to hit the target?

Homework Equations


[itex]\mu_{x}=0[/itex]
[itex]\mu_{y}=-c[/itex]
[itex]\mu_{x}'=[/itex][itex]\frac{mu_{x}-v}{1-\frac{v*mu_{x}}{c^{2}}}=-v[/itex]
[itex]\mu_{y}'=[/itex][itex]\frac{mu_{y}}{1-\frac{v*mu_{x}}{c^{2}}}=-.6c[/itex]

The Attempt at a Solution


I have tried everything I can think of, but nothing seems to work..
I have gotten to this point and I'm fairly sure this far is at least right. Does anyone know where to proceed from here?

Thanks in advance,
khfrekek
 
Last edited:

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