Atlas929 of 3,942

I.B.139

From Li & Liao (2017)

I.B.139 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 166.95 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 0.0000562 of each other at a top speed of 133, line up 328 times a period, and the computed loop closes to 3.5×10⁻²³.

Measured over one period

Period: 166.9519922
Masses: 1 : 1 : 1
Energy: -2.00177
Angular momentum: 0
Closest approach: 5.6×10⁻⁵
Top speed: 133.4
Path length: 449.43
Alignments per period: 328
Topology: ababABAbabaBABababABABababABAbabaBABababABABabaBABAbabaBABababABABabaBABAbabaBABababABABabaBABAbabaBABababABAbabaBABAbabaBABababABAbabaBABAbabABABababABAbabaBABAbabABABababABAbabaBABAbabABAB (free-group class)
Stability: stable (|λ|max 1.000, published)
Loop closure: 3.5×10⁻²³

Neighbours on the map

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