archives

Generalized relativistic velocity addition in two-dimensional space


Home 

About 

Browse 

Search 

Register 

Subscriptions 

Deposit Papers 

Help
    

Iyer, Chandru and Prabhu, G. M. (2007) Generalized relativistic velocity addition in two-dimensional space. Technical Report 06-37, Computer Science, Iowa State University.

Full text available as:Adobe PDF

Abstract

The well known velocity addition formula of special relativity, (u + v)/(1 + (uv/c2)), is used to combine velocities along the same line of motion. Combining two velocities in different directions is a matter of interest and we derive a formula for it in this paper. The formula is verified for special cases and shown to be consistent with known results. We also show that the upper limit for speed is maintained by our formula. The derivation is based on a conventional Lorentz transformation followed by a spatial rotation and then followed by another conventional Lorentz transformation.

Keywords:Lorentz transformation, special relativity, spatial rotation, velocity addition
Subjects:All uncategorized technical reports
ID code:00000502
Deposited by:G.M. Prabhu on 17 January 2007



Contact site administrator at: ssg@cs.iastate.edu