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this post was submitted on 13 Aug 2023
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I guess I don't know enough about the equations necessary to solve for a gradient of area at the exact center, equal to it's surrounding mass.
All the same, thank you for replying. Seems like the area might not be as large as I had supposed.
Depends what you're trying to do. If you want to balance something so it never moves you can only use the exact center. If you want something to stay relatively in the center for a period of hours then you're going to have a much larger area. If you're okay with minutes it's going to be much much larger area. If it needs to be stable for years in the area is smaller. Gravity is going to apply a force of acceleration and on an object, and if there's nothing resisting that acceleration things will just fall off the center. You know imagine trying to balance something on top of a cone.
My original question stemmed from thinking about the possible different area sizes of low gravity within different size stars - and if that area was gradient.