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II.C.119

From Li & Liao (2017)

II.C.119 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 85.227 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 4.857), so a small nudge makes it unravel over a few periods. The bodies pass within 0.0000362 of each other at a top speed of 166, line up 174 times a period, and the computed loop closes to 2.2×10⁻²³.

Measured over one period

Period: 85.22698430
Masses: 1 : 1 : 1
Energy: -2.06732
Angular momentum: 0
Closest approach: 3.6×10⁻⁵
Top speed: 166.3
Path length: 240.48
Alignments per period: 174
Stability: weakly unstable (|λ|max 4.857)
Loop closure: 2.2×10⁻²³

Neighbours on the map

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