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II.C.287

From Li & Liao (2017)

II.C.287 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 186 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 253.6), so a small nudge makes it unravel over a few periods. The bodies pass within 0.000228 of each other at a top speed of 66.3, line up 356 times a period, and the computed loop closes to 1.5×10⁻²⁴.

Measured over one period

Period: 185.9955018
Masses: 1 : 1 : 1
Energy: -1.99558
Angular momentum: 0
Closest approach: 2.3×10⁻⁴
Top speed: 66.29
Path length: 531.43
Alignments per period: 356
Topology: ababABAbabABAbabABAbabABAbabaBABabaBABabaBABabaBABababABAbabABAbabABAbabABAbabABABabaBABabaBABabaBABabaBABAbabABAbabABAbabABAbabABAbabaBABabaBABabaBABabaBABabaBABAbabABAbabABAbabABAbabABABabaBABabaBABabaBABabaBAB (free-group class)
Stability: unstable (|λ|max 253.6)
Loop closure: 1.5×10⁻²⁴

Neighbours on the map

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