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II.C.168

From Li & Liao (2017)

II.C.168 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 165.32 time units, published by Li & Liao (2017). The largest class in the atlas: hundreds of II.C orbits for seven mass ratios. It is linearly stable (largest Floquet multiplier 1.000), so a small nudge only makes it wobble. The bodies pass within 0.0000707 of each other at a top speed of 119, line up 290 times a period, and the computed loop closes to 2.7×10⁻²³.

Measured over one period

Period: 165.3209383
Masses: 1 : 1 : 1
Energy: -1.88894
Angular momentum: 0
Closest approach: 7.1×10⁻⁵
Top speed: 118.9
Path length: 465.68
Alignments per period: 290
Stability: stable (|λ|max 1.000)
Loop closure: 2.7×10⁻²³

Neighbours on the map

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