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II.C.177

From Li & Liao (2017)

II.C.177 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 151.59 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 8.042), so a small nudge makes it unravel over a few periods. The bodies pass within 0.0000909 of each other at a top speed of 105, line up 334 times a period, and the computed loop closes to 2.5×10⁻²³.

Measured over one period

Period: 151.5859612
Masses: 1 : 1 : 1
Energy: -2.15101
Angular momentum: 0
Closest approach: 9.1×10⁻⁵
Top speed: 104.9
Path length: 410.43
Alignments per period: 334
Topology: ababABAbabaBABAbabaBABababABABababABABababABABababABAbabaBABAbabaBABAbabaBABababABABababABABabaBABAbabaBABAbabaBABAbabaBABAbabABABababABABababABAbabaBABAbabaBABAbabaBABababABABababABABababABAB (free-group class)
Stability: weakly unstable (|λ|max 8.042)
Loop closure: 2.5×10⁻²³

Neighbours on the map

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