Atlas843 of 3,942

I.B.179

From Li & Liao (2017)

I.B.179 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 167.04 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 0.0000258 of each other at a top speed of 197, line up 316 times a period, and the computed loop closes to 5.3×10⁻²³.

Measured over one period

Period: 167.0415889
Masses: 1 : 1 : 1
Energy: -1.94532
Angular momentum: 0
Closest approach: 2.6×10⁻⁵
Top speed: 196.8
Path length: 433.92
Alignments per period: 316
Topology: ababABAbabaBABAbabaBABababABABababABABabaBABAbabaBABAbabaBABababABABababABABabaBABAbabaBABAbabaBABababABABababABAbabaBABAbabaBABAbabABABababABABababABAbabaBABAbabaBABAbabABABababABAB (free-group class)
Stability: stable (|λ|max 1.000)
Loop closure: 5.3×10⁻²³

Neighbours on the map

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