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II.C.275

From Li & Liao (2017)

II.C.275 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 149.66 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 1.575), so a small nudge makes it unravel over a few periods. The bodies pass within 0.00000947 of each other at a top speed of 325, line up 300 times a period, and the computed loop closes to 1.1×10⁻²⁰.

Measured over one period

Period: 149.6591730
Masses: 1 : 1 : 1
Energy: -2.04303
Angular momentum: 0
Closest approach: 9.5×10⁻⁶
Top speed: 325.0
Path length: 420.71
Alignments per period: 300
Topology: ababABababABAbabaBABababABAbabABABabaBABAbabABAbabaBABababABAbabABAbabaBABababABAbabABABabaBABAbabABABabaBABababABAbabaBABabaBABababABAbabaBABabaBABAbabABABabaBABababABAbabaBAB (free-group class)
Stability: weakly unstable (|λ|max 1.575)
Loop closure: 1.1×10⁻²⁰

Neighbours on the map

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