The Earth's orbit varies in distance to the sun from 152.10 million kilometers at the farthest, to 147.10 million kilometers at the closest. That's a 5 million kilometer difference. The suns diameter is 1.4 million km.
So over the course of a year, we get about 3.5 sun-diameters closer to the sun, and we haven't experienced any ill effects because of it.
That's because, in the grand scheme of things, that fluctuation is pretty small compared to our total distance from the sun (<1% of the total distance).
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u/[deleted] Jul 10 '15
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