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I.B.51

From Li & Liao (2017)

I.B.51 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 89.281 time units, published by Li & Liao (2017). Class I.B orbits, for equal and unequal masses. It is weakly unstable (largest Floquet multiplier 6.479), so a small nudge makes it unravel over a few periods. The bodies pass within 0.000232 of each other at a top speed of 65.7, line up 180 times a period, and the computed loop closes to 1.1×10⁻²⁴.

Measured over one period

Period: 89.28090815
Masses: 1 : 1 : 1
Energy: -2.05489
Angular momentum: 0
Closest approach: 2.3×10⁻⁴
Top speed: 65.73
Path length: 253.68
Alignments per period: 180
Topology: ababABAbabaBABabaBABababABAbabaBABabaBABababABAbabABAbabaBABababABAbabABAbabaBABababABAbabABAbabaBABabaBAB (free-group class)
Stability: weakly unstable (|λ|max 6.479)
Loop closure: 1.1×10⁻²⁴

Neighbours on the map

All I.B orbits, the families of periodic three-body orbits, or the atlas map.