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II.C.251

From Li & Liao (2017)

II.C.251 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 131.05 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 184.5), so a small nudge makes it unravel over a few periods. The bodies pass within 0.00154 of each other at a top speed of 25.5, line up 196 times a period, and the computed loop closes to 9.2×10⁻²⁵.

Measured over one period

Period: 131.0523193
Masses: 1 : 1 : 1
Energy: -1.71168
Angular momentum: 0
Closest approach: 0.001540
Top speed: 25.52
Path length: 358.73
Alignments per period: 196
Stability: unstable (|λ|max 184.5)
Loop closure: 9.2×10⁻²⁵

Neighbours on the map

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