Can a Torus be Gravitationally Bound?

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Discussion Overview

The discussion revolves around the concept of whether a toroidal structure, such as a toroidal planet, can be gravitationally bound. Participants explore the implications of gravitational binding energy and the necessity of additional forces to maintain the structure of a torus in space.

Discussion Character

  • Debate/contested
  • Conceptual clarification

Main Points Raised

  • One participant questions if a toroidal planet can be gravitationally bound if it has another force preventing it from collapsing into a spherical shape.
  • Another participant suggests that a toroidal shape could exist in space without being gravitationally bound, as it could be artificially constructed.
  • A further inquiry is made about whether an artificially constructed torus could still be classified as gravitationally bound.
  • One participant points out a potential inconsistency in the definitions of "artificial construction" and "gravitationally bound."

Areas of Agreement / Disagreement

Participants express differing views on the definitions and implications of gravitational binding in relation to toroidal structures, indicating that the discussion remains unresolved with multiple competing perspectives.

Contextual Notes

There are unresolved assumptions regarding the definitions of gravitational binding and structural integrity in the context of toroidal shapes, as well as the role of artificial construction in maintaining such structures.

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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