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II.C.90

From Li & Liao (2017)

II.C.90 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 127.35 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 342.7), so a small nudge makes it unravel over a few periods. The bodies pass within 0.0321 of each other at a top speed of 5.59, line up 118 times a period, and the computed loop closes to 9.1×10⁻²⁶.

Measured over one period

Period: 127.3458632
Masses: 1 : 1 : 1
Energy: -1.26605
Angular momentum: 0
Closest approach: 0.03212
Top speed: 5.588
Path length: 325.53
Alignments per period: 118
Stability: unstable (|λ|max 342.7)
Loop closure: 9.1×10⁻²⁶

Neighbours on the map

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