Is My Intuition About Event Timing on a Moving Airplane Wrong?

[ehrenfest]

An event occurred at point A

(x,y,z,t) = (0,0,0,0)

and Point B

(-500*10^3,0,0,0)

simultaneously on earth.

An airplane flies along the line (in space) connecting A and B with velocity 12/13v. The airplane is between B and S and is moving towards S. Which event occurred first. How much earlier did it occur.

Okay. I get that event B occurred first with by 0.01733 seconds. This defies all of my intuition because A and the plane are moving closer togethor while B and the plane are moving farther apart. I would think that this means the plane would perceive event A as "closer" than it really is and event B "farther" than it really is. Is my intuition that wrong?

 

[Pythagorean]

An event occurred at point A

(x,y,z,t) = (0,0,0,0)

and Point B

(-500*10^3,0,0,0)

simultaneously on earth.

An airplane flies along the line (in space) connecting A and B with velocity 12/13v. The airplane is between B and S and is moving towards S. Which event occurred first. How much earlier did it occur.

the notation isn't clear on your velocity: What is 12/13v?

You also never define the point S.

 

[mjsd]

An event occurred at point A

(x,y,z,t) = (0,0,0,0)

and Point B

(-500*10^3,0,0,0)

simultaneously on earth.

An airplane flies along the line (in space) connecting A and B with velocity 12/13v. The airplane is between B and S and is moving towards S. Which event occurred first. How much earlier did it occur.

Okay. I get that event B occurred first with by 0.01733 seconds. This defies all of my intuition because A and the plane are moving closer togethor while B and the plane are moving farther apart. I would think that this means the plane would perceive event A as "closer" than it really is and event B "farther" than it really is. Is my intuition that wrong?

well the question is, was Earth moving with respect to either A or B? two events that happened simultaneously in one frame doesn't imply that the observer is stationary with respect to them or lie in the middle.