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II.C.253

From Li & Liao (2017)

II.C.253 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 169.37 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 4272), so a small nudge makes it unravel over a few periods. The bodies pass within 0.00273 of each other at a top speed of 19.2, line up 192 times a period, and the computed loop closes to 1.7×10⁻²⁵.

Measured over one period

Period: 169.3702859
Masses: 1 : 1 : 1
Energy: -1.43869
Angular momentum: 0
Closest approach: 0.002733
Top speed: 19.16
Path length: 439.15
Alignments per period: 192
Stability: unstable (|λ|max 4272)
Loop closure: 1.7×10⁻²⁵

Neighbours on the map

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