Atlas907 of 3,942

I.B.122

From Li & Liao (2017)

I.B.122 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 152.72 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 0.0000567 of each other at a top speed of 133, line up 272 times a period, and the computed loop closes to 4.1×10⁻²³.

Measured over one period

Period: 152.7155517
Masses: 1 : 1 : 1
Energy: -1.87804
Angular momentum: 0
Closest approach: 5.7×10⁻⁵
Top speed: 132.8
Path length: 401.81
Alignments per period: 272
Topology: ababABAbabaBABababABAbabaBABAbabABABabaBABAbabaBABababABAbabaBABAbabABABabaBABAbabaBABababABAbabaBABababABABabaBABAbabABABababABAbabaBABababABABabaBABAbabABAB (free-group class)
Stability: stable (|λ|max 1.000)
Loop closure: 4.1×10⁻²³

Neighbours on the map

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