Well, I think the current theory is that at the end of the sun’s life it will expand and eventually swallow the Earth. So, in a sense, they will collide.
Until then, probably not. Planetary orbits are pretty stable I think.
As a star starts running out of hydrogen in the core, it starts fusing the hydrogen in the outer layers, and sometimes helium in the core too. This expands the radius of the star, swallowing up the inner planets.
Never, no. The earth would have to slowly spiral into the sun for that to happen and it has a stable orbit so no chance! What will happen is that eventually the sun will become a white dwarf at the end of its life; swallowing up the earth in the process (another 5 billion years to go so who knows what will have become of humankind by then, maybe we’ll have gone off to find another planet).
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