Atlas1,675 of 3,915

II.C.222

From Li & Liao (2017)

II.C.222 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 80.158 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 127.1), so a small nudge makes it unravel over a few periods. The bodies pass within 0.000086 of each other at a top speed of 108, line up 130 times a period, and the computed loop closes to 1.5×10⁻²³.

Measured over one period

Period: 80.15792175
Masses: 1 : 1 : 1
Energy: -1.79272
Angular momentum: 0
Closest approach: 8.6×10⁻⁵
Top speed: 107.9
Path length: 219.72
Alignments per period: 130
Stability: unstable (|λ|max 127.1)
Loop closure: 1.5×10⁻²³

Neighbours on the map

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