x' and t

Safer than Professor Rex's office hours
A Random Player
Posts: 523
Joined: Mon Jun 03, 2013 4:54 pm

x' and t

Postby A Random Player » Wed Jun 26, 2013 11:21 am

If I know x' and t (in a Minkowski diagram), or x and t', how do I find x and t?
(Making a simple Minkowski diagram drawer.)
Edit: Without solving a system of equations.
$1 = 100¢ = (10¢)^2 = ($0.10)^2 = $0.01 = 1¢ [1]
Always check your units or you will have no money!

User avatar
testtubegames
Site Admin
Posts: 1007
Joined: Mon Nov 19, 2012 7:54 pm

Re: x' and t

Postby testtubegames » Thu Jun 27, 2013 1:24 am

Without solving a system of equations, eh? Well, you'll need to deal with the Lorentz Transformations to be sure. But they aren't too tough (haha... I make myself laugh...). At least what you're looking to do shouldn't be too hard.

Lorentz Transformations

If you check out the equations, using the first one you come across (t' = ...), you'll see that three coordinates are represented. So if you want to find t, start with the equation for t', then rearrange it to find t as a function of t' and x.

Does this make sense / fit what you're trying to do?

A Random Player
Posts: 523
Joined: Mon Jun 03, 2013 4:54 pm

Re: x' and t

Postby A Random Player » Thu Jun 27, 2013 11:18 am

testtubegames wrote:Without solving a system of equations, eh? Well, you'll need to deal with the Lorentz Transformations to be sure. But they aren't too tough (haha... I make myself laugh...). At least what you're looking to do shouldn't be too hard.

Lorentz Transformations

If you check out the equations, using the first one you come across (t' = ...), you'll see that three coordinates are represented. So if you want to find t, start with the equation for t', then rearrange it to find t as a function of t' and x.

Does this make sense / fit what you're trying to do?

Looks right! :D

It's been so long since I needed simple Algebra :P
$1 = 100¢ = (10¢)^2 = ($0.10)^2 = $0.01 = 1¢ [1]
Always check your units or you will have no money!

User avatar
testtubegames
Site Admin
Posts: 1007
Joined: Mon Nov 19, 2012 7:54 pm

Re: x' and t

Postby testtubegames » Thu Jun 27, 2013 3:20 pm

A Random Player wrote:Looks right! :D

It's been so long since I needed simple Algebra :P


Haha, sure. What exactly are you making with it? (you've got me intrigued)

A Random Player
Posts: 523
Joined: Mon Jun 03, 2013 4:54 pm

Re: x' and t

Postby A Random Player » Thu Jun 27, 2013 3:32 pm

testtubegames wrote:
A Random Player wrote:Looks right! :D

It's been so long since I needed simple Algebra :P


Haha, sure. What exactly are you making with it? (you've got me intrigued)

This:
Minkowski screenshot.png
Length contraction, as example.
Minkowski screenshot.png (40 KiB) Viewed 11205 times

I'm running into divide by 0 errors on x and x', and t and t', but that's to be expected.
$1 = 100¢ = (10¢)^2 = ($0.10)^2 = $0.01 = 1¢ [1]
Always check your units or you will have no money!

User avatar
testtubegames
Site Admin
Posts: 1007
Joined: Mon Nov 19, 2012 7:54 pm

Re: x' and t

Postby testtubegames » Fri Jun 28, 2013 10:57 pm

Neat! At first glance, it looks correct, too... The grid lines angle in like you'd expect.


Return to “Velocity Raptor”

Who is online

Users browsing this forum: Bing [Bot] and 2 guests