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II.C.97

From Li & Liao (2017)

II.C.97 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 143.14 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 49.04), so a small nudge makes it unravel over a few periods. The bodies pass within 0.00268 of each other at a top speed of 19.3, line up 132 times a period, and the computed loop closes to 7.1×10⁻²⁶.

Measured over one period

Period: 143.1429330
Masses: 1 : 1 : 1
Energy: -1.25415
Angular momentum: 0
Closest approach: 0.002684
Top speed: 19.30
Path length: 347.58
Alignments per period: 132
Stability: unstable (|λ|max 49.04)
Loop closure: 7.1×10⁻²⁶

Neighbours on the map

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