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The speed of Earth is related to the position of its orbit around the Sun. At a higher speed, Earth would need to be closer to the Sun; at a lower speed, it would need to be farther from the Sun. In its current orbit, Earth moves around the Sun at a speed of about 30 km/second. Earth can't get much closer to the Sun (and therefore move faster) than that; for instance, Venus moves around the Sun at a mean speed of about 35 km/second, and it seems that Venus is too close to the Sun for life.

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Q: What is the maximum velocity that the Earth is able to revolve around the Sun without losing the ability to harbor life?
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