The Stephen Wolfram Podcast Science & Technology Q&A for Kids (and others) [January 16, 2026]
Feb 3, 2026
A lively Q&A covers the tangled math of three-body orbits and why they resist neat formulas. Conversations jump to seasons on weird planets, stability in multistar systems, and how stellar flares and cosmic rays affect surfaces. Cherenkov light and its use in detectors gets explained. The show also surveys proton decay, particle stability, and links to grand unification and the early universe.
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Why Two Bodies Are Solvable, Three Are Not
- The two-body gravitational problem has algebraic conserved quantities that make its motion predictable and elliptical.
- Adding a third body removes those algebraic constants and produces complex, often tangled trajectories.
Diverse Outcomes And Chaotic Trajectories
- The three-body problem admits many possible outcomes like ejection or two-body capture and often yields chaotic, tangled trajectories.
- There is no simple closed-form description that lets you skip simulating the system step-by-step.
No Simple Constants, Likely Computational Irreducibility
- There are no algebraic constants of motion in the general three-body problem, only infinite series that are impractical to use.
- Wolfram suspects the problem is computationally irreducible and might show undecidability for infinite-time questions.