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II.C.154

From Li & Liao (2017)

II.C.154 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 136.01 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 1.356), so a small nudge makes it unravel over a few periods. The bodies pass within 0.000455 of each other at a top speed of 46.9, line up 250 times a period, and the computed loop closes to 1.1×10⁻²⁴.

Measured over one period

Period: 136.0121992
Masses: 1 : 1 : 1
Energy: -1.93698
Angular momentum: 0
Closest approach: 4.6×10⁻⁴
Top speed: 46.91
Path length: 379.53
Alignments per period: 250
Topology: ababABAbabABAbabaBABabaBABababABAbabABAbabABABabaBABabaBABAbabABAbabABAbabaBABabaBABabaBABAbabABAbabABAbabaBABabaBABabaBABAbabABAbabABABabaBABabaBAB (free-group class)
Stability: weakly unstable (|λ|max 1.356)
Loop closure: 1.1×10⁻²⁴

Neighbours on the map

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