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DaveC426913 said:You're still missing the point. We have to assume a plausible shape to the dust cloud. Flat discs (whose plane is tangential to the star) are impossible, and no such shape will give us any first order approximation of the mass required. Reject it.
Let's assume a spherical cloud. So a sphere of diameter 1.58 Sols. (This too is not a likely shape, but it'll be a lot closer.)
It seems a disintegrating planet shouldn't create a spherical cloud, though. It should be a long, diffuse trailing cloud - a ring fragment. Like when moons and asteroids disintegrate around planets. You get a ring of debris, not a spherical cloud.
On the other hand, what if the disintegrating planet has moons that survive? Then they could act like shepherd moons, distorting or constraining the shape of the cloud between them. Or they would begin gravitating toward each other, pulling a portion of the cloud into a blob that will eventually form a new planet.
For that matter, could this just be a planet that hasn't finished forming yet?
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