Evolution of the mean ice thickness (here a thickness of 1000 mm means the whole planet is covered by the maximum depth of ice allowed in our model: hice = 1 m) of a planet orbiting a 1 L⊙ star (green), a 10-2L⊙ star (blue), and a 10-4L⊙ star (red) on an orbit of eccentricity 0.6.
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