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II.C.136

From Li & Liao (2017)

II.C.136 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 154.14 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 7.142), so a small nudge makes it unravel over a few periods. The bodies pass within 0.000332 of each other at a top speed of 54.9, line up 206 times a period, and the computed loop closes to 6.0×10⁻²⁵.

Measured over one period

Period: 154.1380334
Masses: 1 : 1 : 1
Energy: -1.58754
Angular momentum: 0
Closest approach: 3.3×10⁻⁴
Top speed: 54.91
Path length: 406.37
Alignments per period: 206
Topology: abaBAbabABAbabABabaBABabaBAbabABAbaBABabaBABabaBAbabABAbaBABabaBABabaBAbabABAbaBABabaBAbabABAbabABAbaBABabaBAbabABAbabABAbaBAB (free-group class)
Stability: weakly unstable (|λ|max 7.142)
Loop closure: 6.0×10⁻²⁵

Neighbours on the map

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