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II.C.171

From Li & Liao (2017)

II.C.171 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 190.44 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 1.003), so a small nudge only makes it wobble. The bodies pass within 0.0000429 of each other at a top speed of 153, line up 304 times a period, and the computed loop closes to 2.9×10⁻²³.

Measured over one period

Period: 190.4374990
Masses: 1 : 1 : 1
Energy: -1.75342
Angular momentum: 0
Closest approach: 4.3×10⁻⁵
Top speed: 152.7
Path length: 494.57
Alignments per period: 304
Topology: ababABAbabaBABababABAbabABABabaBABAbabABAbabaBABababABAbabaBABabaBABAbabABABabaBABababABAbabaBABababABAbabABABabaBABAbabABABabaBABababABAbabaBABababABAbabABABabaBABAbabABABabaBAB (free-group class)
Stability: stable (|λ|max 1.003)
Loop closure: 2.9×10⁻²³

Neighbours on the map

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