Atlas2,113 of 3,942

II.C.258

From Li & Liao (2017)

II.C.258 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 147.65 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 1.042), so a small nudge makes it unravel over a few periods. The bodies pass within 0.00000749 of each other at a top speed of 365, line up 234 times a period, and the computed loop closes to 2.6×10⁻²¹.

Measured over one period

Period: 147.6469709
Masses: 1 : 1 : 1
Energy: -1.73798
Angular momentum: 0
Closest approach: 7.5×10⁻⁶
Top speed: 365.4
Path length: 374.05
Alignments per period: 234
Topology: 0 (free-group class)
Stability: weakly unstable (|λ|max 1.042)
Loop closure: 2.6×10⁻²¹

Neighbours on the map

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