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II.C.262

From Li & Liao (2017)

II.C.262 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 181.46 time units, published by Li & Liao (2017). The largest class in the atlas: hundreds of II.C orbits for seven mass ratios. It is linearly stable (largest Floquet multiplier 1.008), so a small nudge only makes it wobble. The bodies pass within 0.0000187 of each other at a top speed of 231, line up 222 times a period, and the computed loop closes to 3.4×10⁻¹⁶.

Measured over one period

Period: 181.4588448
Masses: 1 : 1 : 1
Energy: -1.52024
Angular momentum: 0
Closest approach: 1.9×10⁻⁵
Top speed: 231.2
Path length: 460.74
Alignments per period: 222
Topology: aaBAbaBAbaBBabABaaBAbaBAbbABabABabAAbaBAbaBBabABabAAbaBAbaBBabABabAAbaBAbaBBabABabABaaBAbaBAbbABabAAbaBAbaBAbbABabABaaBAbaBAbbABabABaaBAbaBAbbABabAB (free-group class)
Stability: stable (|λ|max 1.008)
Loop closure: 3.4×10⁻¹⁶

Neighbours on the map

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