Atlas952 of 3,942

I.B.191

From Li & Liao (2017)

I.B.191 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 197.1 time units, published by Li & Liao (2017). Class I.B orbits, for equal and unequal masses. It is unstable (largest Floquet multiplier 22.07), so a small nudge makes it unravel over a few periods. The bodies pass within 0.000133 of each other at a top speed of 86.8, line up 412 times a period, and the computed loop closes to 3.8×10⁻²³.

Measured over one period

Period: 197.1007091
Masses: 1 : 1 : 1
Energy: -2.08290
Angular momentum: 0
Closest approach: 1.3×10⁻⁴
Top speed: 86.78
Path length: 535.99
Alignments per period: 412
Topology: ababABAbabaBABAbabaBABababABABabaBABAbabaBABababABABababABABabaBABAbabaBABababABABabaBABAbabaBABAbabaBABababABABabaBABAbabaBABababABABababABAbabaBABAbabABABababABAbabaBABAbabaBABAbabABABababABAbabaBABAbabABABababABABababABAbabaBABAbabABAB (free-group class)
Stability: unstable (|λ|max 22.07)
Loop closure: 3.8×10⁻²³

Neighbours on the map

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