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II.C.95

From Li & Liao (2017)

II.C.95 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 131.28 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 4911), so a small nudge makes it unravel over a few periods. The bodies pass within 0.0017 of each other at a top speed of 24.3, line up 124 times a period, and the computed loop closes to 2.5×10⁻²⁵.

Measured over one period

Period: 131.2838008
Masses: 1 : 1 : 1
Energy: -1.28238
Angular momentum: 0
Closest approach: 0.001701
Top speed: 24.26
Path length: 337.89
Alignments per period: 124
Topology: abaBAbaBAbaBAbaBAbaBAbaBAbaBAbabABabABabABabABabABabABabABabABabABabABabABabABabAB (free-group class)
Stability: unstable (|λ|max 4911)
Loop closure: 2.5×10⁻²⁵

Neighbours on the map

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