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II.C.268

From Li & Liao (2017)

II.C.268 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 129.22 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 1.001), so a small nudge makes it unravel over a few periods. The bodies pass within 0.00000441 of each other at a top speed of 476, line up 278 times a period, and the computed loop closes to 2.2×10⁻²⁰.

Measured over one period

Period: 129.2171362
Masses: 1 : 1 : 1
Energy: -2.11860
Angular momentum: 0
Closest approach: 4.4×10⁻⁶
Top speed: 476.0
Path length: 349.14
Alignments per period: 278
Topology: 0 (free-group class)
Stability: weakly unstable (|λ|max 1.001)
Loop closure: 2.2×10⁻²⁰

Neighbours on the map

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