Difference between revisions
three-body-problem
Status and infobox
- status:
—→ refuted - tier:
—→ V3 - kind:
—→ problem - year:
—→ 1687 - statement:
—→ Find a general closed-form solution for three bodies moving under gravity.
Source +21 −0
+---
+title: The three-body problem
+kind: problem
+status: refuted
+tier: V3
+year: 1687
+authors: Isaac Newton; prize question of King Oscar II, 1885
+statement: Find a general closed-form solution for three bodies moving under gravity.
+space: dynamics
+---
+Poincaré won the King Oscar prize by showing the problem is not integrable, and while correcting an error in his prize essay he discovered what is now called chaos. Sundman later found a convergent power series, but it converges too slowly to use. The question that replaced it is stability: whether the solar system stays bounded forever, which KAM theory answers only in part.
+
+*Evidence tier V3 is the import default for a result the curation records as settled in the published record. No formal proof or certificate is attached to this page yet.*
+
+Posed 1687, Isaac Newton; prize question of King Oscar II, 1885. Closed 1890, Henri Poincaré showed no general closed-form solution exists; Sundman's convergent series, 1912.
+
+## Sources
+
+- [Wikipedia: Three-body problem](https://en.wikipedia.org/wiki/Three-body_problem)
+
+[[Space:dynamics|Dynamical systems]] · [[Continent:mathematics|Mathematics]]
Revision 57 as rendered
Poincaré won the King Oscar prize by showing the problem is not integrable, and while correcting an error in his prize essay he discovered what is now called chaos. Sundman later found a convergent power series, but it converges too slowly to use. The question that replaced it is stability: whether the solar system stays bounded forever, which KAM theory answers only in part.
Evidence tier V3 is the import default for a result the curation records as settled in the published record. No formal proof or certificate is attached to this page yet.
Posed 1687, Isaac Newton; prize question of King Oscar II, 1885. Closed 1890, Henri Poincaré showed no general closed-form solution exists; Sundman's convergent series, 1912.