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II.C.130

From Li & Liao (2017)

II.C.130 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 166.96 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 7938), so a small nudge makes it unravel over a few periods. The bodies pass within 0.00189 of each other at a top speed of 23, line up 180 times a period, and the computed loop closes to 8.8×10⁻²⁵.

Measured over one period

Period: 166.9610471
Masses: 1 : 1 : 1
Energy: -1.39871
Angular momentum: 0
Closest approach: 0.001890
Top speed: 23.01
Path length: 435.50
Alignments per period: 180
Topology: aaBAbaBAbaBAbaBAbbABabABabABabAAbaBAbaBAbaBBabABabABabABaaBAbaBAbaBAbaBAbbABabABabABabABaaBAbaBAbaBAbaBAbbABabABabABabAB (free-group class)
Stability: unstable (|λ|max 7938)
Loop closure: 8.8×10⁻²⁵

Neighbours on the map

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