Path: ...!news.misty.com!2.eu.feeder.erje.net!feeder.erje.net!eternal-september.org!feeder3.eternal-september.org!news.eternal-september.org!.POSTED!not-for-mail From: "Paul.B.Andersen" Newsgroups: sci.physics.relativity Subject: Re: Relativistic aberration Date: Thu, 1 Aug 2024 22:06:15 +0200 Organization: A noiseless patient Spider Lines: 83 Message-ID: References: <17e7331a73814274$123023$505064$c2265aab@news.newsdemon.com> MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8; format=flowed Content-Transfer-Encoding: 8bit Injection-Date: Thu, 01 Aug 2024 22:05:56 +0200 (CEST) Injection-Info: dont-email.me; posting-host="596178ae8276f6bf92ab1561edfe2825"; logging-data="2496718"; mail-complaints-to="abuse@eternal-september.org"; posting-account="U2FsdGVkX19RCZzNOcP0qnt/MAtPK+nZ" User-Agent: Mozilla Thunderbird Cancel-Lock: sha1:iy4xb9fR51loZTEnBOvGEKF9wyQ= Content-Language: en-GB In-Reply-To: Bytes: 4140 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? -- Paul https://paulba.no/