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II.C.190

From Li & Liao (2017)

II.C.190 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 15.28 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 24958), so a small nudge makes it unravel over a few periods. The bodies pass within 0.00552 of each other at a top speed of 13.5, line up 30 times a period, and the computed loop closes to 4.2×10⁻²⁵.

Measured over one period

Period: 15.27961998
Masses: 1 : 1 : 1
Energy: -2.03084
Angular momentum: 0
Closest approach: 0.005523
Top speed: 13.53
Path length: 41.172
Alignments per period: 30
Topology: aabaBABabABAbabbAB (free-group class)
Stability: unstable (|λ|max 24958)
Loop closure: 4.2×10⁻²⁵

Neighbours on the map

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