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II.C.47

From Li & Liao (2017)

II.C.47 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 65.23 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 1.418), so a small nudge makes it unravel over a few periods. The bodies pass within 0.0000134 of each other at a top speed of 273, line up 134 times a period, and the computed loop closes to 3.2×10⁻¹⁶.

Measured over one period

Period: 65.22986546
Masses: 1 : 1 : 1
Energy: -2.06792
Angular momentum: 0
Closest approach: 1.3×10⁻⁵
Top speed: 272.8
Path length: 180.96
Alignments per period: 134
Stability: weakly unstable (|λ|max 1.418)
Loop closure: 3.2×10⁻¹⁶

Neighbours on the map

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