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II.C.205

From Li & Liao (2017)

II.C.205 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 67.935 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 847.4), so a small nudge makes it unravel over a few periods. The bodies pass within 0.000504 of each other at a top speed of 44.6, line up 96 times a period, and the computed loop closes to 7.7×10⁻²⁵.

Measured over one period

Period: 67.93500839
Masses: 1 : 1 : 1
Energy: -1.64004
Angular momentum: 0
Closest approach: 5.0×10⁻⁴
Top speed: 44.60
Path length: 179.10
Alignments per period: 96
Topology: ababABAbaBABababABAbaBABababABAbaBABababABAbaBABabABAbaBAB (free-group class)
Stability: unstable (|λ|max 847.4)
Loop closure: 7.7×10⁻²⁵

Neighbours on the map

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