Headlight Effect: Finding $\phi_0$ on Earth

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James T. Kirk twice bluffed that the USS Enterprise was equipped twith a corbomite devise that automatically sends a pulse of energy that equals the force put on it. But that's besides the point :P

I have a problem that asks me to find [itex]\phi_0[/itex] on Earth via headlight effect.

I already have found the equation:
cos([itex]\phi[/itex]) = (cos([itex]\phi[/itex]')+ u/c) / (1 + (u* cos([itex]\phi[/itex]')/c))

Do I simply solve for [itex]\phi[/itex] as [itex]\phi_0[/itex], or is there some equation for headlight effects? My book and my notes only have a mention of headlight effect, that I can find.
 
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I'm an Engineer not a Doctor!

Okay, I figured it out.

NO HELP NEEDED NOMORES!