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II.C.202

From Li & Liao (2017)

II.C.202 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 39.344 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 899.5), so a small nudge makes it unravel over a few periods. The bodies pass within 0.00241 of each other at a top speed of 20.5, line up 78 times a period, and the computed loop closes to 9.7×10⁻²⁶.

Measured over one period

Period: 39.34436893
Masses: 1 : 1 : 1
Energy: -2.07078
Angular momentum: 0
Closest approach: 0.002411
Top speed: 20.46
Path length: 118.36
Alignments per period: 78
Topology: ababABAbaBABabaBAbabABabaBAbabABabaBAbabABAbaBAB (free-group class)
Stability: unstable (|λ|max 899.5)
Loop closure: 9.7×10⁻²⁶

Neighbours on the map

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