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II.C.151

From Li & Liao (2017)

II.C.151 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 181.44 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 3.566), so a small nudge makes it unravel over a few periods. The bodies pass within 0.0000118 of each other at a top speed of 291, line up 210 times a period, and the computed loop closes to 8.2×10⁻¹⁶.

Measured over one period

Period: 181.4427819
Masses: 1 : 1 : 1
Energy: -1.46503
Angular momentum: 0
Closest approach: 1.2×10⁻⁵
Top speed: 291.1
Path length: 461.95
Alignments per period: 210
Topology: aaBAbaBAbbABabAAbaBAbaBBabABabAAbaBAbaBBabABabAAbaBAbaBBabABabAAbaBAbaBBabABaaBAbaBAbbABabABaaBAbaBAbbABabABaaBAbaBAbbABabABaaBAbaBAbbABabAB (free-group class)
Stability: weakly unstable (|λ|max 3.566)
Loop closure: 8.2×10⁻¹⁶

Neighbours on the map

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