Atlas1,091 of 3,942

I.B.106

From Li & Liao (2017)

I.B.106 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 150.58 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 0.00021 of each other at a top speed of 69, line up 232 times a period, and the computed loop closes to 1.9×10⁻²⁴.

Measured over one period

Period: 150.5786026
Masses: 1 : 1 : 1
Energy: -1.72587
Angular momentum: 0
Closest approach: 2.1×10⁻⁴
Top speed: 68.96
Path length: 400.32
Alignments per period: 232
Topology: ababABAbabABAbabABAbabABAbabaBABabaBABabaBABabaBABAbabABAbabABAbabABAbabaBABabaBABabaBABabaBABababABAbabABAbabABAbabABABabaBABabaBABabaBAB (free-group class)
Stability: stable (|λ|max 1.000, published)
Loop closure: 1.9×10⁻²⁴

Neighbours on the map

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