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II.C.96

From Li & Liao (2017)

II.C.96 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 122.53 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 1.144), so a small nudge makes it unravel over a few periods. The bodies pass within 0.000922 of each other at a top speed of 32.9, line up 130 times a period, and the computed loop closes to 9.9×10⁻²⁵.

Measured over one period

Period: 122.5262184
Masses: 1 : 1 : 1
Energy: -1.37427
Angular momentum: 0
Closest approach: 9.2×10⁻⁴
Top speed: 32.93
Path length: 308.95
Alignments per period: 130
Topology: abaBAbabABabaBAbaBABabABAbaBAbabABabaBAbabABabABAbaBABabABabaBAbabABabABAbaBABabAB (free-group class)
Stability: weakly unstable (|λ|max 1.144)
Loop closure: 9.9×10⁻²⁵

Neighbours on the map

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