Atlas1,397 of 3,915

II.C.112

From Li & Liao (2017)

II.C.112 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 165.83 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 5751), so a small nudge makes it unravel over a few periods. The bodies pass within 0.00449 of each other at a top speed of 14.9, line up 152 times a period, and the computed loop closes to 2.5×10⁻²⁵.

Measured over one period

Period: 165.8327705
Masses: 1 : 1 : 1
Energy: -1.25619
Angular momentum: 0
Closest approach: 0.004486
Top speed: 14.94
Path length: 418.40
Alignments per period: 152
Stability: unstable (|λ|max 5751)
Loop closure: 2.5×10⁻²⁵

Neighbours on the map

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