The atmosphere do have tides you can read about them at [https://en.wikipedia.org/wiki/Atmospheric_tide](https://en.wikipedia.org/wiki/Atmospheric_tide) I have not read it but is should describe the effects.
It is not just the fluid part of earth that have tides. It will have an effect on the solid part to. There is land tides on earth that can be 55cm https://en.wikipedia.org/wiki/Earth_tide
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