A satellite of mass 1 x 1020kg and radius 400 km orbits Saturn at a semi-major axis of 200,000 km measured from the centre of Saturn (Saturn's mass is 5.68 x 1026kg). The satellite has a close encounter with another satellite that places it on an eccentric orbit while keeping the semi-major axis unchanged. What is the maximum eccentricity the satellite can attain that just allows it to avoid being tidally disrupted by Saturn?

A satellite of mass 1 x 1020kg and radius 400 km orbits Saturn at a semi-major axis of 200,000 km measured from the centre of Saturn (Saturn's mass is 5.68 x 1026kg). The satellite has a close encounter with another satellite that places it on an eccentric orbit while keeping the semi-major axis unchanged. What is the maximum eccentricity the satellite can attain that just allows it to avoid being tidally disrupted by Saturn?

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