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From: Conard Demakis <dd@sirrd.gr>
Newsgroups: sci.math,sci.physics,sci.physics.relativity
Subject: Re: Relativistic aberration
Followup-To: sci.math,sci.physics,sci.physics.relativity
Date: Fri, 2 Aug 2024 23:02:26 -0000 (UTC)
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Richard Hachel wrote:

> Le 02/08/2024 à 21:49, "Paul.B.Andersen" a écrit :
>> Den 01.08.2024 23:03, skrev Richard Hachel:
>> The rocket will see the supernova an angle 12.7⁰ from the x-axis.
>> (From Earth the supernova is seen in the direction 37⁰ from the x-axis)
> 
>  Absolutely. We have cos α = 12000/15000 = 0.8    ---> α ~ 37°
>  Ans we have  cos α' = 40000/41000 = 0.9756 ---> α' ~ 12.7°
>  Note :
>  cos α' = (cosα+v/c)/(1+cosα.v/c) cos α' = (0.8+0.8)/(1+0.8*0.8)=0.9756
>  All is correct.

illucid, show those angles without a calculator. It's an arccos getting 1 
at 0, to 0 at pi/2 then -1 at pi. lol.

𝗪𝗵𝗮𝘁_𝗵𝗮𝗽𝗽𝗲𝗻𝘀_𝘄𝗵𝗲𝗻_𝘆𝗼𝘂_𝗰𝗼𝗺𝗯𝗶𝗻𝗲_𝗔𝗹𝘂𝗺𝗶𝗻𝘂𝗺_𝗮𝗻𝗱_𝗠𝗲𝗿𝗰𝘂𝗿𝘆 
https://old.bi%74%63%68ute.com/%76%69%64eo/Ydfl1HIF9ZaO