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II.C.126

From Li & Liao (2017)

II.C.126 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 129.09 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 2.659), so a small nudge makes it unravel over a few periods. The bodies pass within 0.000000658 of each other at a top speed of 1233, line up 188 times a period, and the computed loop closes to 7.1×10⁻²⁰.

Measured over one period

Period: 129.0860797
Masses: 1 : 1 : 1
Energy: -1.67590
Angular momentum: 0
Closest approach: 6.6×10⁻⁷
Top speed: 1233
Path length: 346.82
Alignments per period: 188
Stability: weakly unstable (|λ|max 2.659)
Loop closure: 7.1×10⁻²⁰

Neighbours on the map

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