WASP-12 column density

Need 2x1017 /cm2 column density of magnesium, so ~2x1022 of hydrogen. Currently too small - by calculating average density in a box around the disk and multiplying by length of box, I find ~2x1018 /cm2 of hydrogen. Would need to increase density by 4 orders of magnitude - plotting average density in this box over time, estimate 105 orbits, or about 300 years, to build up sufficient density.

They estimate that a mass loss rate of 3x1010 g/s for WASP-12b will give an upper limit of 4x1021 /cm2 for Mg column density.

At 3.3 Rp, mass loss rate of planet is around 8x109 g/s (appears to be decreasing over time, though), which is about 3.75 times lower than the mass loss rate used to estimate the column density - linear in mass loss rate, so this still gives an estimate of 1021 /cm2. A rough estimate of the mass loss rate of the disk gives 5.1x107 g/s, so two orders of magnitude smaller than the mass loss rate of the planet - which correlates well with an increasing overall disk mass (using slope of disk mass over time, get ~2.4x109 g/s as a very rough estimate - within an order of magnitude).

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