Let's start with a phenomenon: all stars have identical light aberrations, that is 20.5, light aberrations have nothing to do with the motion of the star, because no matter how the star moves in the universe, the light aberrations measured on Earth are 20.5.
Now, assume a system of earth and stars, stars and geomotion, that is, the stars and earth relative stationary, according to the logic of relativity, because the position of the star and the position of the earth relative stationary, the passengers see stars and no light aberration, because the light aberration formula is "K=v/c", when "v=0", the light aberration is 0.
That is, the theory of relativity holds that at relatively quiescence, stars have no light aberrations. But as we already know that light aberration has nothing to do with the motion of stars, So why is there no light aberration in geosynchronous stars? This is clearly contradictory. That is, relativity cannot explain light aberration.
Preprint A medium theory similar to relativity
By "geosynchronous stars" I presume you mean "geosynchronous satellites". They have no aberration because aberration is caused by the motion of the Earth around the Sun, which changes the direction we have to look at a star to still see it, and since our geosynchronous satellites are moving around the Sun in exactly the same way as the Earth, they have no motion relative to the Earth, because their direction relative to the Earth is fixed (as defined by the term "geosynchronous"). Only the "fixed" stars, or stars so far away that any motion they have (e.g., parallactic ellipses) is too small to notice (in comparison to aberration) and in the wrong direction (again, in comparison to aberration) exhibit Stellar Aberration (which see, at https://cseligman.com/text/history/bradley.htm ). In any event, the theory of relativity has no relationship to this; if it did, Bradley couldn't have discovered stellar aberration centuries before Einstein developed the theory of relativity.
Courtney Seligman
No, I said a real star. I assume that such a star exists.
Courtney Seligman
What if there was a star moving synchronously with the Earth? Is there the aberration of light?
Duan Xian Xiang
It doesn't make any difference how the stars move. The aberration is caused by OUR motion around the Sun, and no matter how ANY star moves, its "basic" stellar aberration will be exactly the same. Even if it had no motion at all relative to the Sun, the aberration we see would be exactly the same. The only difference in the aberration of different stars is that if the star is near an Ecliptic Pole, the aberration would be an ellipse the same shape as our orbit (essentially a circle), about 20 arcsec in radius. As you move your view toward stars further from the Ecliptic Pole (and closer to the Ecliptic), the ellipse becomes more flattened (just like taking a picture of a circle on a piece of paper, and rotating it until you see it edge-on), until it is just a straight back-and-forth movement along the Ecliptic, with a half-length of about 20 arcsec (the size of the aberrational ellipse isn't changed by its position in the sky; just how nearly circular or flattened it is).
Note: The change in the shape of the aberrational ellipse also applies to the parallactic ellipses of stars close enough to observe their parallax. If near the Ecliptic Pole, the change in the star's position is a circle centered on its straight-line motion through space (caused by the motion of the star relative to the Sun), but if near the Ecliptic, the parallax is simply a faster motion parallel to the Ecliptic when we are going one way, and a slower one parallel to the Ecliptic when we are going the opposite way (around the Sun), superimposed on its annual motion through space due to the difference between its motion around the galaxy and the Sun's motion around the galaxy. But aside from the fact that parallactic ellipses are MUCH smaller than stellar aberration, as shown on the page linked from my first answer, the change in direction caused by aberration is a quarter-year out of synch with the change caused by parallax.
- Badges
- Science topic