Atlas1,436 of 3,942

II.C.204

From Li & Liao (2017)

II.C.204 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 76.767 time units, published by Li & Liao (2017). The largest class in the atlas: hundreds of II.C orbits for seven mass ratios. It is unstable (largest Floquet multiplier 1745), so a small nudge makes it unravel over a few periods. The bodies pass within 0.00237 of each other at a top speed of 20.5, line up 84 times a period, and the computed loop closes to 2.0×10⁻²⁵.

Measured over one period

Period: 76.76676840
Masses: 1 : 1 : 1
Energy: -1.40865
Angular momentum: 0
Closest approach: 0.002373
Top speed: 20.54
Path length: 198.95
Alignments per period: 84
Topology: abaBAbaBAbabABabABabABAbaBAbabABabABabaBAbaBABabABabAB (free-group class)
Stability: unstable (|λ|max 1745)
Loop closure: 2.0×10⁻²⁵

Neighbours on the map

All II.C orbits, the families of periodic three-body orbits, or the atlas map.