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II.C.7

From Li & Liao (2017)

II.C.7 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 46.895 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 1.151), so a small nudge makes it unravel over a few periods. The bodies pass within 0.00672 of each other at a top speed of 12.2, line up 44 times a period, and the computed loop closes to 6.2×10⁻²⁵.

Measured over one period

Period: 46.89467501
Masses: 1 : 1 : 1
Energy: -1.26870
Angular momentum: 0
Closest approach: 0.006716
Top speed: 12.21
Path length: 114.44
Alignments per period: 44
Stability: weakly unstable (|λ|max 1.151)
Loop closure: 6.2×10⁻²⁵

Neighbours on the map

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