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From: Richard Hachel <r.hachel@tiscali.fr>
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Le 09/04/2024 à 21:14, "Paul B. Andersen" a écrit :
> Den 09.04.2024 16:26, skrev Richard Hachel:

> For example, if ϕ = π/4 and v = 0.8c, Vapp = 1.3c
> 
> If Vapp ≠ 0, Stella will never reach the Earth, obviously.
> So this apparent speed is of no interest for the twin 'paradox',
> even if it is interesting for 'superluminal jets'.
> 
> So what's your point?

 If ϕ = π/4 then if I call µ the angle that the direction of my aim 
makes with the direction of the object to be studied, I have: µ=3π/4. 

 Then Vapp=Vo/(1+cosµ.Vo/c)=1.842c

 When Vapp'=Vapp.cosϕ=1.3025c 

 and Vapp"(transversal apparence)=Vapp.sinϕ=1.3025c

 On this, I agree with you.

The apparent transverse speed of a body moving at an angle µ equal to 
3π/4 is greater than the apparent speed of this same body moving purely 
transversely.
This is very very counterintuitive, but it is entirely accurate.

 On this, you are absolutely right, and your calcul is correct. 



 R.H.