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II.C.75

From Li & Liao (2017)

II.C.75 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 89.172 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 219.7), so a small nudge makes it unravel over a few periods. The bodies pass within 0.0103 of each other at a top speed of 9.85, line up 90 times a period, and the computed loop closes to 1.9×10⁻²⁷.

Measured over one period

Period: 89.17166348
Masses: 1 : 1 : 1
Energy: -1.33995
Angular momentum: 0
Closest approach: 0.01031
Top speed: 9.848
Path length: 232.99
Alignments per period: 90
Topology: aaBAbaBAbaBAbaBAbaBAbaBAbaBAbaBAbaBAbbABabABabABabABabABabAB (free-group class)
Stability: unstable (|λ|max 219.7)
Loop closure: 1.9×10⁻²⁷

Neighbours on the map

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