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II.C.145

From Li & Liao (2017)

II.C.145 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 156.98 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 1.062), so a small nudge makes it unravel over a few periods. The bodies pass within 0.000136 of each other at a top speed of 85.7, line up 232 times a period, and the computed loop closes to 5.0×10⁻²⁴.

Measured over one period

Period: 156.9836902
Masses: 1 : 1 : 1
Energy: -1.66659
Angular momentum: 0
Closest approach: 1.4×10⁻⁴
Top speed: 85.69
Path length: 398.27
Alignments per period: 232
Topology: ababABAbabaBABababABAbabABABabaBABAbabABAbabaBABababABAbabABABabaBABAbabABAbabaBABabaBABAbabABABabaBABababABAbabaBABabaBABAbabABABabaBAB (free-group class)
Stability: weakly unstable (|λ|max 1.062)
Loop closure: 5.0×10⁻²⁴

Neighbours on the map

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