Atlas931 of 3,942

I.B.83

From Li & Liao (2017)

I.B.83 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 111.03 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 0.000115 of each other at a top speed of 93.1, line up 196 times a period, and the computed loop closes to 1.0×10⁻²³.

Measured over one period

Period: 111.0262815
Masses: 1 : 1 : 1
Energy: -1.86832
Angular momentum: 0
Closest approach: 1.2×10⁻⁴
Top speed: 93.13
Path length: 292.48
Alignments per period: 196
Topology: ababABAbabaBABababABAbabaBABababABABabaBABAbabABABabaBABAbabaBABababABAbabaBABababABAbabaBABAbabABABabaBABAbabABAB (free-group class)
Stability: stable (|λ|max 1.000, published)
Loop closure: 1.0×10⁻²³

Neighbours on the map

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