Two-dimensional hydrodynamic simulations show that tidally assisted escape of vapor from the lunar magma ocean can explain the Moon's sodium and potassium depletion, and predict a leading/trailing surface dichotomy.
Partial covers of PG(n,q)
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abstract
In this paper, we show that a set of q+a hyperplanes, q>13, a<(q-10)/4, that does not cover PG(n,q), does not cover at least q^(n-1)-aq^(n-2) points, and show that this lower bound is sharp. If the number of non- covered points is at most q^(n-1), then we show that all non-covered points are contained in one hyperplane. Finally, using a recent result of Blokhuis, Brouwer, and Szonyi [3], we remark that the bound on a for which these results are valid can be improved to a<(q-2)/3 and that this upper bound on a is sharp
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Hydrodynamical simulations of proto-Moon degassing
Two-dimensional hydrodynamic simulations show that tidally assisted escape of vapor from the lunar magma ocean can explain the Moon's sodium and potassium depletion, and predict a leading/trailing surface dichotomy.