(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Challenge: a rather eccentric group of astronomy students wanted to celebrate the impact of the Shoemaker-Levy comet on Jupiter by holding a party of sufficiently long duration that their celebrations weresimultaneouswith the impact of the comet inallinertial reference frames.

For how long do they need to party?

How might the party end?

[The distance from the Earth to Jupiter is 8E11m and you may neglect their relative motion]

2. Relevant equations

The Lorentz transformation formulae

x=γ(x'+vt')

t=γ(t'+vx'/c^{2})

where γ=(1/(1-v^{2}/c^{2})^{1/2}and is the gamma factor.

Where x is the distance in one frame and x' is the distance in another, and t is the time in one frame and t' is the time in the other. v is the velocity relative to one another.

At least I think these are the equations I need. Please correct me if I'm wrong, I may have a fundamental misunderstanding of the situation.

3. The attempt at a solution

OK, I have spent a fair while on this question and although initially I made the mistake of taking the party and Jupiter as being two separate reference frames like an idiot I finally realized that I can in fact consider the two events to be in the same reference frame. Calling x the distance in this reference frame x is now 8E11m and the time difference is of course 0 as they are simultaneous so t=0. However in order for these to be simultaneous in all reference frames I now have four unknowns as i don't know γ x' or t' or v, I can cope with three but not four. Which means that i'm missing a clue in the question here, any ideas?

While I was writing I suddenly thought maybe t is not 0 but t' is 0, is t in fact the length of time it takes light to travel from Jupiter? If that's the case then this is solved. I really like this question!! :D Relativity = mind blown

Thanks in advance

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# Homework Help: Special Relativity calculating a time period so simultaneous in all reference frames

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