Atlas1,875 of 3,942

II.C.286

From Li & Liao (2017)

II.C.286 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 185.53 time units, published by Li & Liao (2017). The largest class in the atlas: hundreds of II.C orbits for seven mass ratios. It is weakly unstable (largest Floquet multiplier 1.109), so a small nudge makes it unravel over a few periods. The bodies pass within 0.00000544 of each other at a top speed of 429, line up 358 times a period, and the computed loop closes to 5.7×10⁻²¹.

Measured over one period

Period: 185.5272060
Masses: 1 : 1 : 1
Energy: -1.99162
Angular momentum: 0
Closest approach: 5.4×10⁻⁶
Top speed: 428.7
Path length: 515.25
Alignments per period: 358
Topology: 0 (free-group class)
Stability: weakly unstable (|λ|max 1.109)
Loop closure: 5.7×10⁻²¹

Neighbours on the map

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