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Calculate the Roche limit for a comet composed of water ice that is approaching Saturn (density of the comet = 1.10 g/cm3, density of Saturn = 0.690 g/cm3).

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Density of the comet: ρc = 1.10g/cm3

Density  of Saturn: ρS = 0.690g/cm3

rR = 2.44(ρs/ρc)1/3R

R = radius of Saturn = 60,330 km

rR = 2.44(0.690/1.10)1/3 x 60, 300

0.690/1.10 = 0.62721

1/3(log0.6272) = -(0.20259/3) = - 0.06753

(0.690/1.10)1/3 = 0.8559

rR = 2.44 x 0.8559 x 60, 330 = 125,993km

rR = 125,993

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