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II.C.182

From Li & Liao (2017)

II.C.182 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 192.77 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 81.01), so a small nudge makes it unravel over a few periods. The bodies pass within 0.000137 of each other at a top speed of 85.6, line up 350 times a period, and the computed loop closes to 2.7×10⁻²³.

Measured over one period

Period: 192.7713804
Masses: 1 : 1 : 1
Energy: -1.93283
Angular momentum: 0
Closest approach: 1.4×10⁻⁴
Top speed: 85.58
Path length: 549.01
Alignments per period: 350
Stability: unstable (|λ|max 81.01)
Loop closure: 2.7×10⁻²³

Neighbours on the map

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