Édouard Roche

French astronomer and mathematician

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July 16, 2026

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Édouard Roche was a French mathematician and astronomer known for his work on celestial mechanics. He is most famous for calculating the Roche limit, which is the minimum distance at which a celestial satellite, such as a moon, can orbit a planet without being torn apart by the planet's tidal forces.12

If a satellite ventures within its Roche limit, the gravitational pull of the primary body will be stronger on the near side of the satellite than on the far side. This difference in gravitational force creates tidal stress that can overcome the satellite's own internal gravity, leading to its disruption. The rings of Saturn are believed to be the remnants of a moon that strayed within Saturn's Roche limit.2

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Roche limit
…calculated by the French astronomer Édouard Roche (1820–83). Artificial satellites are too small to develop substantial tidal stresses.
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…calculated by the French astronomer Édouard Roche (1820–83). Artificial satellites are too small to develop substantial tidal stresses.
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solar system
Formation of ring systems
…its Roche limit, named for Édouard Roche, the 19th-century French mathematician who first explained this concept. The ring systems of Jupiter, Saturn, Uranus, and Neptune lie inside the Roche limits of their respective planets. Within this distance the gravitational attraction of two small bodies for each other is smaller than…
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…its Roche limit, named for Édouard Roche, the 19th-century French mathematician who first explained this concept. The ring systems of Jupiter, Saturn, Uranus, and Neptune lie inside the Roche limits of their respective planets. Within this distance the gravitational attraction of two small bodies for each other is smaller than…
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