Popular

The Dance of Three Bodies: New Orbits in Chaos ⚡ экспресс

Original: "Discovery of 10,059 new three-dimensional periodic orbits of general three-body problem"
· Xiaoming Li, Shijun Liao
Scientists have found thousands of new stable steps in the gravitational dance of three bodies.
Abstract

Researchers have numerically discovered over 10,000 three-dimensional periodic orbits in the three-body problem that were previously unknown. About 20% of them turned out to be stable (linearly stable). Among the finds are 21 choreographic orbits for equal masses and 273 'piano trios,' where two bodies move along one orbit and the third along another. This discovery, akin to finding a new galaxy, expands our understanding of chaos in celestial mechanics.

Links in the knowledge graph 1

📄 Showing the "Simple" version — "Popular" is not ready yet. Add it to favorites to help prioritize it.

Three bodies in space under the influence of gravity usually dance wildly, like strangers on a dance floor. But occasionally their dance becomes strict — the figure closes and repeats for eternity. These periodic orbits were sought by Newton long ago, and today's scientists have managed to find thousands.

For two massive bodies and one light one, they collected 10,059 three-dimensional steps. Contrary to chaos, nearly 20% are stable: a nudge doesn't break the rhythm — the orbit would survive even a passing rogue star. Such high stability surprised even skeptics: it seemed triple systems should be chaotic from birth. Three equal bodies circle in 21 round dances, following a single curve. There are also 273 duets with a solo: two as a pair, the third on its own, but together they return. Such figures hide in any galaxy, even where black holes lurk. This is the key to why triple stars don't fly apart: they simply dance a perfect dance.

These movements are living proof of Poincaré's conjecture: in the heart of chaos, there is a rhythm that mathematics can grasp.

🎯 Stable triple star systems are rare, but one of them — Alpha Centauri — is our neighbor, though its dance is not so elaborate.

🎬 The unpredictability of three bodies inspired Liu Cixin's novel 'The Three-Body Problem,' where a civilization's survival hinges on the chaos of the gravitational dance.

Scientists
Stephen HawkingJacob BekensteinAlbert EinsteinFritz ZwickyVera RubinBernhard Riemann
Tags
galaxy black hole spacetime curvature
Laws
Hawking radiationgravitational lensingBekenstein-Hawking entropyEinstein field equationsequivalence principlevirial theorem
Original: arXiv:2508.08568 · CC BY 4.0 · bridge42worlds