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II.C.99

From Li & Liao (2017)

II.C.99 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 111.84 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 986.1), so a small nudge makes it unravel over a few periods. The bodies pass within 0.00176 of each other at a top speed of 23.9, line up 144 times a period, and the computed loop closes to 9.2×10⁻²⁵.

Measured over one period

Period: 111.8363969
Masses: 1 : 1 : 1
Energy: -1.53409
Angular momentum: 0
Closest approach: 0.001763
Top speed: 23.85
Path length: 281.45
Alignments per period: 144
Topology: ababABababABAbabABAbabABAbabABAbabABAbabABAbabABABabaBABabaBABabaBABabaBABabaBABabaBAB (free-group class)
Stability: unstable (|λ|max 986.1)
Loop closure: 9.2×10⁻²⁵

Neighbours on the map

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