On a large scale, it’s going to look a bit like stirring ice cream or another viscous liquid: https://www.youtube.com/watch?v=J_UwUuJFT3Q
On the solar system or planet scale, the night sky will change a lot (although still veeeery slowly). For the planet itself, basically nothing will change. Space between stars is so extremely empty, something solid actually hitting something else is astronomically unlikely.
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