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II.C.194

From Li & Liao (2017)

II.C.194 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 75.105 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 310.3), so a small nudge makes it unravel over a few periods. The bodies pass within 0.00106 of each other at a top speed of 30.7, line up 52 times a period, and the computed loop closes to 3.9×10⁻²⁵.

Measured over one period

Period: 75.10513330
Masses: 1 : 1 : 1
Energy: -1.04100
Angular momentum: 0
Closest approach: 0.001063
Top speed: 30.70
Path length: 167.20
Alignments per period: 52
Stability: unstable (|λ|max 310.3)
Loop closure: 3.9×10⁻²⁵

Neighbours on the map

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