How to Derive β and Identify Superluminal Motion?

AI Thread Summary
The discussion focuses on deriving the equation for β in the context of superluminal motion, specifically β = v/c = 1/(cos(θ) + sin(θ)). The user also requests to plot β as a function of θ to identify regions of superluminal motion. After some time, the original poster indicates they have solved the problem independently. They offer to share the solution with others interested in the topic. The thread highlights the challenge of understanding superluminal motion and the mathematical derivation involved.
Max.Planck
Messages
128
Reaction score
0
Hi,

I have a question about a problem on superluminal motion. Using the following figure (see attachment) I have to derive that:

a) \beta = \frac{v}{c} = \frac{1}{cos(\theta)+sin(\theta)}

b) Plot \beta as a function of \theta and show where the superluminal motion takes place

Thanks!

Max.Planck
 

Attachments

  • Picture 1.jpg
    Picture 1.jpg
    12.3 KB · Views: 469
Astronomy news on Phys.org


Never mind, i solved it myself, if anybody wants to know the answer please pm me and I will post it here on the forum.

Max.Planck
 
Is a homemade radio telescope realistic? There seems to be a confluence of multiple technologies that makes the situation better than when I was a wee lad: software-defined radio (SDR), the easy availability of satellite dishes, surveillance drives, and fast CPUs. Let's take a step back - it is trivial to see the sun in radio. An old analog TV, a set of "rabbit ears" antenna, and you're good to go. Point the antenna at the sun (i.e. the ears are perpendicular to it) and there is...
This thread is dedicated to the beauty and awesomeness of our Universe. If you feel like it, please share video clips and photos (or nice animations) of space and objects in space in this thread. Your posts, clips and photos may by all means include scientific information; that does not make it less beautiful to me (n.b. the posts must of course comply with the PF guidelines, i.e. regarding science, only mainstream science is allowed, fringe/pseudoscience is not allowed). n.b. I start this...
How does light maintain enough energy in the visible part of the spectrum for the naked eye to see in the night sky. Also, how did it start of in the visible frequency part of the spectrum. Was it, for example, photons being ejected at that frequency after high energy particle interaction. Or does the light become visible (spectrum) after hitting our atmosphere or space dust or something? EDIT: Actually I just thought. Maybe the EM starts off as very high energy (outside the visible...
Back
Top