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   Infoseepage (infoseepage@mastodon.social)'s status on Thursday, 20-Feb-2025 18:16:24 JST Infoseepage

   in reply to

   • Greg Egan

   @gregeganSF so you're saying the problem with Trisolaris is a lack of suitably lightweight and rigid Dyson spheres? Someone should have sent them an anonymous mathematical memo.

   "Have you tried this?"

   Then again they had three suns, not two+ enough planetary rubble to build a sphere for themselves.

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     Greg Egan (gregegansf@mathstodon.xyz)'s status on Thursday, 20-Feb-2025 18:16:25 JST Greg Egan

     A rigid ring or sphere surrounding a single massive body will not be stable, but in the “restricted 3-body problem” where the ring/sphere is infinitesimally light, and one massive body is orbiting another, there can be some stable configurations.

     For example, if the lighter of the two bodies is less than 1/9 the mass of the heavier one, a rigid sphere enclosing the lighter body can be stable.

     H/T Shubhendu Trivedi

     https://academic.oup.com/mnras/article/537/2/1249/7989465