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II.C.267

From Li & Liao (2017)

II.C.267 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 170.51 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 1.136), so a small nudge makes it unravel over a few periods. The bodies pass within 0.0000825 of each other at a top speed of 11, line up 254 times a period, and the computed loop closes to 1.7×10⁻²³.

Measured over one period

Period: 170.5138194
Masses: 1 : 1 : 1
Energy: -1.70120
Angular momentum: 0
Closest approach: 8.3×10⁻⁵
Top speed: 110.1
Path length: 461.41
Alignments per period: 254
Stability: weakly unstable (|λ|max 1.136)
Loop closure: 1.7×10⁻²³

Neighbours on the map

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