# Why relative positions of stars and other objects in a galaxy do not change over the year

Though the identifiable stars in a constellation(say andromeda) and galaxy(say andromeda galaxy) are situated light years apart, why isn't the galaxy appearing at different positions(with respect to the stars) at different time of the year?

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The Andromeda galaxy is 2.5 million light years distant, so its parallax is only in the area of micro arc seconds due to the seasonal position of Earth. This is much too small to be noticed.

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But the OP asked about relative positions - i.e., why doesn't Andromeda move relative to a foreground star, as I read it. –  Thriveth Jun 6 at 13:49

Other answers have given the correct answer. I would like to add a few numbers, and offer an illustration you might work through. The distance from Earth to the Andromeda Galaxy is $2.57\times10^6$light years. Over the course of six months, Earth is displaced by the diameter of its orbit, 2 AU, or $3.16\times10^{-5}$ light years.

You can try drawing all three objects on a sheet of paper as three dots, and connect them with the sides of a triangle. Call the dot representing Earth $E$ and the angle adjacent to it $\epsilon$. The Andromeda Galaxy appears next to the stars in Andromeda in the sky precisely because $\epsilon$ is small, so you should draw it as small. Now move $E$, according to the scale of your drawing, and see how much $\epsilon$ would change. If you keep things to scale, $E$ will move $10^{-11}$ times the length of the line you drew between $E$ and the Andromeda Galaxy; this is probably smaller than the dot you drew for $E$. $\epsilon$ will change by a similarly-sized fraction. That shift in $\epsilon$, as others have noted, is called the parallax.

If you want to go further, try moving the dots representing the Andromeda galaxy and the other object around the paper, and even allow yourself to make $\epsilon$ large. Again, if you keep things to scale, the parallax will be tiny.

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There are a few effects which cause small changes in the apparent position of stars.

Apart from parallax due to the change in position of the Earth around the sun, and so the angle we see stars at, there are effects due to the speed of the Earth and small changes in the Earth's tilt.

The Apparent Position of Fundamental Stars calculates the change for 1000 of the nearest and brightest objects. For more distant objects, and certainly for other Galaxies, the effect is too small to care about

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