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II.C.125

From Li & Liao (2017)

II.C.125 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 126.62 time units, published by Li & Liao (2017). The largest class in the atlas: hundreds of II.C orbits for seven mass ratios. It is unstable (largest Floquet multiplier 47.72), so a small nudge makes it unravel over a few periods. The bodies pass within 0.0000733 of each other at a top speed of 117, line up 188 times a period, and the computed loop closes to 1.5×10⁻²³.

Measured over one period

Period: 126.6161493
Masses: 1 : 1 : 1
Energy: -1.69763
Angular momentum: 0
Closest approach: 7.3×10⁻⁵
Top speed: 116.8
Path length: 342.53
Alignments per period: 188
Stability: unstable (|λ|max 47.72)
Loop closure: 1.5×10⁻²³

Neighbours on the map

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