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II.C.273

From Li & Liao (2017)

II.C.273 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 192.13 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 4.115), so a small nudge makes it unravel over a few periods. The bodies pass within 0.000692 of each other at a top speed of 38, line up 290 times a period, and the computed loop closes to 7.4×10⁻²⁵.

Measured over one period

Period: 192.1261448
Masses: 1 : 1 : 1
Energy: -1.70894
Angular momentum: 0
Closest approach: 6.9×10⁻⁴
Top speed: 38.03
Path length: 514.85
Alignments per period: 290
Topology: ababABAbabABAbabABAbabABAbabABAbabABAbabABAbabABabaBABabaBABabaBABabaBABabaBABabaBABabaBABAbabABAbabABAbabABAbabABAbabABAbabABAbabABabaBABabaBABabaBABabaBABabaBABabaBABabaBAB (free-group class)
Stability: weakly unstable (|λ|max 4.115)
Loop closure: 7.4×10⁻²⁵

Neighbours on the map

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