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II.C.93

From Li & Liao (2017)

II.C.93 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 138.2 time units, published by Li & Liao (2017). The largest class in the atlas: hundreds of II.C orbits for seven mass ratios. It is unstable (largest Floquet multiplier 12.67), so a small nudge makes it unravel over a few periods. The bodies pass within 0.0118 of each other at a top speed of 9.21, line up 126 times a period, and the computed loop closes to 1.3×10⁻²⁶.

Measured over one period

Period: 138.1973478
Masses: 1 : 1 : 1
Energy: -1.24405
Angular momentum: 0
Closest approach: 0.01181
Top speed: 9.212
Path length: 333.73
Alignments per period: 126
Topology: abaBAbabABabABAbaBAbabABabABAbaBABabABabaBAbaBAbabABabABAbaBABabABabaBAbaBABabAB (free-group class)
Stability: unstable (|λ|max 12.67)
Loop closure: 1.3×10⁻²⁶

Neighbours on the map

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