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II.C.237

From Li & Liao (2017)

II.C.237 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 178.21 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 19649), so a small nudge makes it unravel over a few periods. The bodies pass within 0.0000942 of each other at a top speed of 103, line up 150 times a period, and the computed loop closes to 2.2×10⁻²³.

Measured over one period

Period: 178.2090344
Masses: 1 : 1 : 1
Energy: -1.18526
Angular momentum: 0
Closest approach: 9.4×10⁻⁵
Top speed: 103.0
Path length: 402.87
Alignments per period: 150
Stability: unstable (|λ|max 19649)
Loop closure: 2.2×10⁻²³

Neighbours on the map

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