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II.C.133

From Li & Liao (2017)

II.C.133 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 142.96 time units, published by Li & Liao (2017). The largest class in the atlas: hundreds of II.C orbits for seven mass ratios. It is weakly unstable (largest Floquet multiplier 9.064), so a small nudge makes it unravel over a few periods. The bodies pass within 0.000267 of each other at a top speed of 61.2, line up 202 times a period, and the computed loop closes to 8.9×10⁻²⁵.

Measured over one period

Period: 142.9574398
Masses: 1 : 1 : 1
Energy: -1.63989
Angular momentum: 0
Closest approach: 2.7×10⁻⁴
Top speed: 61.22
Path length: 378.43
Alignments per period: 202
Topology: abaBAbabABAbabABAbabABAbabABAbabABabaBABabaBABabaBABabaBABabaBAbabABAbabABAbabABAbabABAbabABAbaBABabaBABabaBABabaBABabaBAB (free-group class)
Stability: weakly unstable (|λ|max 9.064)
Loop closure: 8.9×10⁻²⁵

Neighbours on the map

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