Atlas873 of 3,942

I.B.167

From Li & Liao (2017)

I.B.167 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 125.16 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 0.0000582 of each other at a top speed of 131, line up 232 times a period, and the computed loop closes to 2.9×10⁻¹⁶.

Measured over one period

Period: 125.1579037
Masses: 1 : 1 : 1
Energy: -1.92238
Angular momentum: 0
Closest approach: 5.8×10⁻⁵
Top speed: 131.0
Path length: 326.85
Alignments per period: 232
Topology: ababABAbabaBABAbabaBABababABABababABAbabaBABAbabABABababABABabaBABAbabaBABababABABababABAbabaBABAbabaBABababABABabaBABAbabaBABAbabABAB (free-group class)
Stability: stable (|λ|max 1.000)
Loop closure: 2.9×10⁻¹⁶

Neighbours on the map

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