Atlas846 of 3,942

I.B.111

From Li & Liao (2017)

I.B.111 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 125.66 time units, published by Li & Liao (2017). Class I.B orbits, for equal and unequal masses. It is linearly stable (largest Floquet multiplier 1.000), so a small nudge only makes it wobble. The bodies pass within 0.000022 of each other at a top speed of 213, line up 248 times a period, and the computed loop closes to 1.1×10⁻¹⁷.

Measured over one period

Period: 125.6607884
Masses: 1 : 1 : 1
Energy: -1.99374
Angular momentum: 0
Closest approach: 2.2×10⁻⁵
Top speed: 213.2
Path length: 321.12
Alignments per period: 248
Topology: ababABAbabaBABAbabaBABAbabaBABAbabaBABAbabaBABAbabaBABAbabaBABAbabaBABAbabaBABababABABababABABababABABababABABababABABababABABababABABababABAB (free-group class)
Stability: stable (|λ|max 1.000)
Loop closure: 1.1×10⁻¹⁷

Neighbours on the map

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