Can a Torus be Gravitationally Bound?

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Tom MS
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Now I asked a question the other day about the gravitational binding energy of a torus, and someone responded that it cannot be gravitationally bound purely, but requires some opposing force.
Okay, fine. But, qualitatively, can a toroidal planet be gravitationally bound if it has another force holding its structure together from clumping into a ball? What do you think?
 
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Would you call it "gravitationally bound" then? You can shoot a doughnut to space, then you have a stable torus shape in space.
For planet-sized objects, apart from artifical construction there is nothing that could support such a structure.
 
mfb said:
Would you call it "gravitationally bound" then? You can shoot a doughnut to space, then you have a stable torus shape in space.
For planet-sized objects, apart from artifical construction there is nothing that could support such a structure.
Right, so with artificial construction holding it together, could it still be considered gravitationally bound?
 
Tom MS said:
with artificial construction holding it together
Tom MS said:
considered gravitationally bound
Those two statements do not seem consistent... :wink:
 

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