Atlas833 of 3,942

I.B.92

From Li & Liao (2017)

I.B.92 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 111.4 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 0.0000537 of each other at a top speed of 137, line up 212 times a period, and the computed loop closes to 3.7×10⁻²³.

Measured over one period

Period: 111.3973050
Masses: 1 : 1 : 1
Energy: -1.95211
Angular momentum: 0
Closest approach: 5.4×10⁻⁵
Top speed: 136.5
Path length: 288.85
Alignments per period: 212
Topology: ababABAbabaBABAbabaBABAbabaBABababABABababABABabaBABAbabaBABAbabaBABababABABababABABababABAbabaBABAbabaBABAbabABABababABAB (free-group class)
Stability: stable (|λ|max 1.000)
Loop closure: 3.7×10⁻²³

Neighbours on the map

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