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II.C.54

From Li & Liao (2017)

II.C.54 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 96.906 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 25.79), so a small nudge makes it unravel over a few periods. The bodies pass within 0.0000894 of each other at a top speed of 106, line up 156 times a period, and the computed loop closes to 1.6×10⁻²³.

Measured over one period

Period: 96.90556872
Masses: 1 : 1 : 1
Energy: -1.78694
Angular momentum: 0
Closest approach: 8.9×10⁻⁵
Top speed: 105.8
Path length: 266.49
Alignments per period: 156
Stability: unstable (|λ|max 25.79)
Loop closure: 1.6×10⁻²³

Neighbours on the map

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