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II.C.169

From Li & Liao (2017)

II.C.169 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 165.43 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 1.937), so a small nudge makes it unravel over a few periods. The bodies pass within 0.00000457 of each other at a top speed of 468, line up 290 times a period, and the computed loop closes to 5.5×10⁻²².

Measured over one period

Period: 165.4253970
Masses: 1 : 1 : 1
Energy: -1.88815
Angular momentum: 0
Closest approach: 4.6×10⁻⁶
Top speed: 467.9
Path length: 465.87
Alignments per period: 290
Topology: 0 (free-group class)
Stability: weakly unstable (|λ|max 1.937)
Loop closure: 5.5×10⁻²²

Neighbours on the map

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