Atlas1,425 of 3,942

II.C.212

From Li & Liao (2017)

II.C.212 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 102.84 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 253.1), so a small nudge makes it unravel over a few periods. The bodies pass within 0.0229 of each other at a top speed of 6.62, line up 102 times a period, and the computed loop closes to 3.3×10⁻²⁷.

Measured over one period

Period: 102.8385495
Masses: 1 : 1 : 1
Energy: -1.32465
Angular momentum: 0
Closest approach: 0.02288
Top speed: 6.621
Path length: 267.95
Alignments per period: 102
Topology: aaBAbaBAbaBAbaBAbaBAbaBAbaBAbaBAbaBAbaBAbbABabABabABabABabABabABabAB (free-group class)
Stability: unstable (|λ|max 253.1)
Loop closure: 3.3×10⁻²⁷

Neighbours on the map

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