GPT-4: Mathematicians have proved for the first time that instability is inevitable in a model of planets orbiting a sun, which could help explain the appearance of our solar system. The researchers demonstrated that the size and shape of orbits can change dramatically over time, potentially leading to planets crashing into each other or drifting off to infinity. This groundbreaking discovery highlights the ultimate instability in celestial mechanics and suggests that changes in a realistic planetary system might accumulate over hundreds of millions of years, rather than billions.
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