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Date: Fri, 2 Aug 2024 22:07:59 +0200
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Subject: Re: Relativistic aberration
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W dniu 02.08.2024 o 21:49, Paul.B.Andersen pisze:
> Den 01.08.2024 23:03, skrev Richard Hachel:
>> Le 01/08/2024 à 22:05, "Paul.B.Andersen" a écrit :
>>> Den 01.08.2024 13:39, skrev Richard Hachel:
>>>>
>>>> The event that occurred at the supernova located at 15,000 ly has 
>>>> just been recorded by the Earth observer.
>>>> He notes E = (x, y, z, To, t)
>>>> Let x = 12000, y = 9000, z = 0, To = -15000, t = 0.
>>>> This is how I write in Hachel notation.
>>>
>>> A very stupid notation!
>>> Giving the position of a star in  Cartesian coordinates
>>> would obviously include the distance to the star, and then
>>> in addition giving the distance to the star in light years
>>> or years is redundant.
>>>
>>> Astronomers give the position to the star as an angle
>>> in a spherical coordinate system. The angle is given as
>>> observed from the Sun.
>>> The distance is given in parsecs (or ly) and will be determined
>>> by parallax or other method.
>>>
>>> The Earth is orbiting the Sun, which will mean that
>>> an observer on the Earth will see the direction to
>>> the star varying during the year. The star will appear
>>> to move along an ellipse with major axis 40.98 arcsecs.
>>> The direction to the star observed from the Sun will be in
>>> the centre of the ellipse.
>>>
>>> https://paulba.no/pdf/Stellar_aberration.pdf
>>>
>>>>
>>>> An observer crosses the Earth at this moment at a few thousand 
>>>> kilometers, his speed is 0.8c (his rocket has very advanced 
>>>> technology, and he is heading on the Ox axis).
>>>
>>> Along the x-axis?
>>> So his velocity is 37⁰ from the direction to the star.
>>>
>>>>
>>>> It is clear, at the risk of being absurd, and of not having 
>>>> understood anything at all about the theory of relativity that the 
>>>> events will be simultaneous for the two observers who will be 
>>>> conjoined at this moment.
>>>>
>>>> Their watch will mark t = 0 (since they are triggered at this moment).
>>>>
>>>> We want to know what the coordinates of the supernova event will be 
>>>> in the new reference frame of the rocket, and what the commander 
>>>> will write on his on-board carent.
>>>
>>> Due to aberration he will see the supernova in a very
>>> different direction than the person on Earth.
>>>
>>> https://paulba.no/pdf/AberrationDoppler.pdf
>>> equation (19)
>>> The rocket will see the supernova
>>> an angle 12.7⁰ from the x-axis.
>>>
>>>>
>>>> Let E'=(x,y,z,To,0) since not yet knowing the Poincaré-Lorentz 
>>>> transformations, we can only guess the other four coordinates.
>>>>
>>>> But you, Paul, who knows the TL and who knows a little about SR, can 
>>>> you give the five new coordinates in RH mode?
>>>
>>> The aberration above is from the LT.
>>> It is obviously meaningless to transform the distance,
>>> there is no way the rocket man can measure it.
>>> It is measured by other means.
>>>
>>>>
>>>> Don't be afraid to make mistakes, we are here to learn and 
>>>> understand, and even if you make a mistake, it will allow us to go 
>>>> further.
>>>>
>>>> If you don't make a mistake, it's because you have already 
>>>> understood this point perfectly.
>>>
>>> Did you have a point?
>>
>> We don't care.
>> I give this notation because it is the best.
> 
> It isn't so different from what astronomers use.
> 
> The position of the star is given as two angles and a distance.


Oh, your idiot guru has refuted these Euclidean
prejudices a long time ago. Have you never heard
of it, Paul, poor halfbrain?