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II.C.85

From Li & Liao (2017)

II.C.85 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 106.11 time units, published by Li & Liao (2017). The largest class in the atlas: hundreds of II.C orbits for seven mass ratios. It is weakly unstable (largest Floquet multiplier 9.775), so a small nudge makes it unravel over a few periods. The bodies pass within 0.00155 of each other at a top speed of 25.4, line up 108 times a period, and the computed loop closes to 1.1×10⁻²⁵.

Measured over one period

Period: 106.1149733
Masses: 1 : 1 : 1
Energy: -1.34645
Angular momentum: 0
Closest approach: 0.001552
Top speed: 25.39
Path length: 273.77
Alignments per period: 108
Stability: weakly unstable (|λ|max 9.775)
Loop closure: 1.1×10⁻²⁵

Neighbours on the map

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