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Even with an easier nonliving system, Newton thought the threebody problem deterministically intractable, and so it remains without special assumptions.
Environmentalist Forecasting Model, Arnold Kling  EconLog  Library of Economics and Liberty

Even the generalized threebody system can only be predicted in the 'near term'. mynym: Although many seem to imagine that the theory of natural selection is the equivalent of the theory of gravity, it doesn't seem to predict much.

Euler also studied continuum mechanics, lunar theory with Clairaut, the threebody problem, elasticity, acoustics, the wave theory of light, hydraulics, and music.

Introductory physics classes learn there is no solution to the threebody problem, and the atmosphere is a lot more complicated than just three asteroids cycling around each other in space.
On Thursday, the Legg report will be published along with...

The time evolution of the threebody problem is still a subject of active research in celestial mechanics and that is practically the simplest system we can thinkof.

In the traditional threebody doctrine, however, it is the other two forms of embodiment that preach.

If we have a threebody system, we can conceptually divide it into three twobody systems, and knowing the forces that would operate in the twobody systems were they isolated, we can deduce what the forces are that are operating in the threebody system.

Henri Poincare was a favorite to win the prize, and he submitted an essay that demonstrated the stability of planetary motions in the threebody problem (actually the “restricted” problem, in which one test body moves in the gravitational field generated by two others).

What he ended up proving was the opposite of his original claim — threebody orbits were not stable at all.

In 1885, a mathematical competition was announced in honor of the 60th birthday of King Oscar II of Sweden, and the threebody problem was one of the questions.
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