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๐ The Roche limit defines the minimum distance at which a satellite must orbit a planet without being torn apart by tidal forces.
๐ Objects within the Roche limit can experience significant gravitational shear, leading to their disintegration.
๐ญ The Roche limit varies depending on the densities of both the planet and the satellite.
โ๏ธ A satellite can remain intact if it is larger than the Roche limit, but smaller satellites may break up if they enter this zone.
๐ซ An example of the Roche limit can be seen with Saturn's rings, which are composed of particles that remain intact within the Roche limit.
๐ The formula for the Roche limit for a fluid satellite is approximately 2.44 times the radius of the planet when the satellite has a similar density.
๐ Beyond the Roche limit, gravitational forces can allow for stable orbits without disintegration.
๐ The concept of the Roche limit was named after French astronomer รdouard Roche, who proposed it in the 19th century.
โก Tidal forces are the dominant factor in determining the Roche limit, as they counteract the satellite's gravitational cohesion.
๐ Understanding the Roche limit is crucial for planetary science, especially in studying the formation and stability of ring systems.
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