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II.C.117

From Li & Liao (2017)

II.C.117 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 129.02 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 109.4), so a small nudge makes it unravel over a few periods. The bodies pass within 0.000207 of each other at a top speed of 69.4, line up 170 times a period, and the computed loop closes to 5.3×10⁻²⁴.

Measured over one period

Period: 129.0160109
Masses: 1 : 1 : 1
Energy: -1.56089
Angular momentum: 0
Closest approach: 2.1×10⁻⁴
Top speed: 69.44
Path length: 329.94
Alignments per period: 170
Stability: unstable (|λ|max 109.4)
Loop closure: 5.3×10⁻²⁴

Neighbours on the map

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