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II.C.259

From Li & Liao (2017)

II.C.259 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 130.35 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 164.5), so a small nudge makes it unravel over a few periods. The bodies pass within 0.0000682 of each other at a top speed of 121, line up 226 times a period, and the computed loop closes to 1.4×10⁻²³.

Measured over one period

Period: 130.3529991
Masses: 1 : 1 : 1
Energy: -1.88709
Angular momentum: 0
Closest approach: 6.8×10⁻⁵
Top speed: 121.1
Path length: 373.74
Alignments per period: 226
Topology: ababABAbaBABabaBABabaBABabABAbabABabaBAbabABAbabABAbaBABabaBAbabABAbabABabaBABabaBAbabABAbaBABabaBABabaBAbabABabaBABabABAbabABAbabABAbaBAB (free-group class)
Stability: unstable (|λ|max 164.5)
Loop closure: 1.4×10⁻²³

Neighbours on the map

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