A Nova is a sudden, brief brightening of a star. Suppose Earth astronomers see two novas occur simultaneously, one in the constellation Orion and the other in the constellation Lyra. Both nova are the same distance from Earth, 2.5 E 3 c.y (lightyear) and are in exactly opposite directions from Earth. Observers on board an aircraft flying at 1000 km/h on a line from Orion towards Lyra see the same novas, but note that they aren't simultaneous.
A) For the observers on the Aircraft, how much time seperates the novas?
B) Which one occurs first?
x' = [itex]\gamma[/itex](x -vt)
t' = [itex]\gamma[/itex](t - xv/c^2)
The Attempt at a Solution
Just please tell me if i am correct, else tell me where i went wrong and give me a hint to correct. Thank you