The discussion revolves around the calculation of relative velocities in the context of Special Relativity, specifically focusing on three objects O, A, and B, and the challenges participants face in applying the correct formulas for their relative motions.
Participants express differing views on the application of relative velocity formulas, with some acknowledging the need for Special Relativity corrections while others struggle with the initial assumptions and results. The discussion remains unresolved regarding the specific calculations and interpretations of the velocities.
There are limitations in the definitions and assumptions made by participants, particularly regarding the use of terms and the application of different relativistic formulas. The discussion does not fully resolve the mathematical steps involved in calculating the relative velocities.
What results did you get? Why do they seem absurd?Quarlep said:In Special Relativity we have relative velocities formula I want to formule it but result seems absurd
You'll need to define your terms. (What is C, for example?)Quarlep said:VCB=VOB-VOC
You'll certainly need to add the velocities using special relativity, not Galilean relativity.Quarlep said:I thought like this But this is not true in special relativity.In special Relativity it like the relative formule for special relativity isn't it ?
But you said there were only 3 objects O, A and B, so there is no object C? I'm going to assume by "C" you mean "A", so, in Newtonian theory it would be[tex] v_{AB} = v_{OB} - v_{OA}.[/tex]Then in special relativity it is[tex] v_{AB} = \frac{ v_{OB} - v_{OA} } { 1 - \frac{ v_{OB} v_{OA} } {c^2} },[/tex](provided all velocities are parallel).Quarlep said:VCB=VOB-VOC