Atlas892 of 3,942

I.B.115

From Li & Liao (2017)

I.B.115 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 138.93 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 0.0000585 of each other at a top speed of 131, line up 252 times a period, and the computed loop closes to 3.3×10⁻²³.

Measured over one period

Period: 138.9348056
Masses: 1 : 1 : 1
Energy: -1.89813
Angular momentum: 0
Closest approach: 5.9×10⁻⁵
Top speed: 130.7
Path length: 364.46
Alignments per period: 252
Topology: ababABAbabaBABababABABabaBABAbabaBABababABABabaBABAbabaBABababABABabaBABAbabaBABababABAbabaBABAbabABABababABAbabaBABAbabABABababABAbabaBABAbabABAB (free-group class)
Stability: stable (|λ|max 1.000)
Loop closure: 3.3×10⁻²³

Neighbours on the map

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