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II.C.164

From Li & Liao (2017)

II.C.164 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 199.44 time units, published by Li & Liao (2017). The largest class in the atlas: hundreds of II.C orbits for seven mass ratios. It is linearly stable (largest Floquet multiplier 1.000), so a small nudge only makes it wobble. The bodies pass within 0.000268 of each other at a top speed of 61.1, line up 270 times a period, and the computed loop closes to 8.0×10⁻²⁵.

Measured over one period

Period: 199.4409766
Masses: 1 : 1 : 1
Energy: -1.59727
Angular momentum: 0
Closest approach: 2.7×10⁻⁴
Top speed: 61.10
Path length: 524.40
Alignments per period: 270
Topology: abaBAbabABAbabABAbabABabaBABabaBABabaBAbabABAbabABAbabABabaBABabaBABabaBAbabABAbabABAbabABabaBABabaBABabaBAbabABAbabABAbaBABabaBABabaBABabABAbabABAbabABAbaBABabaBAB (free-group class)
Stability: stable (|λ|max 1.000, published)
Loop closure: 8.0×10⁻²⁵

Neighbours on the map

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