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II.C.232

From Li & Liao (2017)

II.C.232 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 98.445 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 101.5), so a small nudge makes it unravel over a few periods. The bodies pass within 0.000035 of each other at a top speed of 169, line up 156 times a period, and the computed loop closes to 6.3×10⁻²³.

Measured over one period

Period: 98.44501185
Masses: 1 : 1 : 1
Energy: -1.78201
Angular momentum: 0
Closest approach: 3.5×10⁻⁵
Top speed: 169.0
Path length: 275.99
Alignments per period: 156
Stability: unstable (|λ|max 101.5)
Loop closure: 6.3×10⁻²³

Neighbours on the map

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