Atlas950 of 3,942

I.B.109

From Li & Liao (2017)

I.B.109 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 138.76 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 0.0000761 of each other at a top speed of 115, line up 244 times a period, and the computed loop closes to 4.0×10⁻²³.

Measured over one period

Period: 138.7609320
Masses: 1 : 1 : 1
Energy: -1.86402
Angular momentum: 0
Closest approach: 7.6×10⁻⁵
Top speed: 114.6
Path length: 365.73
Alignments per period: 244
Topology: ababABAbabaBABababABAbabaBABababABAbabaBABAbabABABabaBABAbabABABabaBABAbabaBABababABAbabaBABababABAbabaBABababABABabaBABAbabABABabaBABAbabABAB (free-group class)
Stability: stable (|λ|max 1.000)
Loop closure: 4.0×10⁻²³

Neighbours on the map

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