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II.C.159

From Li & Liao (2017)

II.C.159 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 124.07 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 1.001), so a small nudge only makes it wobble. The bodies pass within 0.0000586 of each other at a top speed of 131, line up 264 times a period, and the computed loop closes to 9.8×10⁻¹⁷.

Measured over one period

Period: 124.0700356
Masses: 1 : 1 : 1
Energy: -2.10356
Angular momentum: 0
Closest approach: 5.9×10⁻⁵
Top speed: 130.7
Path length: 334.59
Alignments per period: 264
Stability: stable (|λ|max 1.001)
Loop closure: 9.8×10⁻¹⁷

Neighbours on the map

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