# Homework Help: First Year Special Relativity Question

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1. Oct 12, 2015

### NotAnAstrologer

1. The problem statement, all variables and given/known data
Planets A and B are 10 light years apart in the reference frame of planet A. A deep-space probe is launched from A, and 5 years later (in reference frame A) a similar probe is launched from B. Does a reference frame exist in which these two events (a) are simultaneous and (b) occur at the same position. *Note*: Parts (a) and (b) are separate from each other so, you have to find one reference frame where they are simultaneous and then another where they occur at the same position. Δx = 10 Ly, T@Event 1 = 0 years, T@Event 2 = 5 years.

2. Relevant equations
In the textbook this is part of the time dilation section so... Tb = γTa, Lorentz Transformations, s2 = (cΔt)2 - Δx2 ?

3. The attempt at a solution
I tried to solve it using the space-time interval but, I think it might have something to do with the Lorentz Transformations and Time Dilation equations.

2. Oct 12, 2015

### vela

Staff Emeritus
What exactly did you try? Show your work.

3. Oct 12, 2015

### NotAnAstrologer

Erased it or threw it out because I thought it was wrong. I still have the diagram I drew though and I wrote down all the givens. Tbh, the more I think about it the more lost I get. No idea where to start without a velocity.

4. Oct 12, 2015

### vela

Staff Emeritus
Sounds like you need to do a bit more studying then before attempting this problem.

5. Oct 12, 2015

### phinds

+1 on that.

6. Oct 12, 2015

### NotAnAstrologer

Actually I think I figured it out. Ta = Tb, using this knowledge I'm using one of the Lorentz transformation equations to isolate for V.