Atlas2,058 of 3,942

II.C.139

From Li & Liao (2017)

II.C.139 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 111.4 time units, published by Li & Liao (2017). The largest class in the atlas: hundreds of II.C orbits for seven mass ratios. It is linearly stable (largest Floquet multiplier 1.000), so a small nudge only makes it wobble. The bodies pass within 0.00000275 of each other at a top speed of 603, line up 222 times a period, and the computed loop closes to 2.1×10⁻²¹.

Measured over one period

Period: 111.3983833
Masses: 1 : 1 : 1
Energy: -2.01535
Angular momentum: 0
Closest approach: 2.7×10⁻⁶
Top speed: 603.4
Path length: 295.83
Alignments per period: 222
Topology: 0 (free-group class)
Stability: stable (|λ|max 1.000, published)
Loop closure: 2.1×10⁻²¹

Neighbours on the map

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