The Andromeda galaxy is approximately 2.5 million light years away and is approaching the Milky Way galaxy at around 110 km/s. We know that the motion of galaxies is affected in two ways. One is the expansion of space and the other is the acceleration due to gravity.

If we take the hypothesis that the Milky Way and Andromeda were relatively at rest at some time in the past we can envisage what would then happen. Initially the expansion of space would take the galaxies further apart. Then the gravitational attraction between the two galaxies would accelerate the galaxies towards each other so that eventually the velocity due to this acceleration would exceed the effect of the expansion pf space. The galaxies would then move towards each other. We know that they are now at a distance of 2.5 million light years travelling at 110 km/s so we can model their past history.

Presentation A calculation of the past motion of the galaxy Andromeda

https://youtu.be/Aw5CP3jdxV8

The problem is that the calculation shows that the galaxies started at rest 53.9 billion years ago.

This is fine in a model in which the first galaxy formed 126 billion years ago:

Data Prerecording of Conference Presentation on Dark Matter and Dark Energy

But it does present a problem if you think the universe is 13.8 billion years old.

The spreadsheet model tracking the motion of Andromeda is also useful because it illustrates the dynamics of the combined effect of the expansion of space and gravitational acceleration. This is helpful when explaining how spiral galaxies form from two spherical regions of gas and dark matter. This also solves the angular momentum problem first identified by Fred Hoyle which questions the cause of the rotation of spiral galaxies.

Richard

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