Atlas827 of 3,942

I.B.116

From Li & Liao (2017)

I.B.116 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 127.24 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 0.00000572 of each other at a top speed of 418, line up 256 times a period, and the computed loop closes to 3.4×10⁻²¹.

Measured over one period

Period: 127.2370563
Masses: 1 : 1 : 1
Energy: -2.01435
Angular momentum: 0
Closest approach: 5.7×10⁻⁶
Top speed: 418.0
Path length: 317.52
Alignments per period: 256
Topology: ababaBABAbabaBABAbabaBABAbabaBABAbabaBABAbabaBABAbabaBABAbabaBABAbabaBABAbababABABababABABababABABababABABababABABababABABababABABababABABababABAB (free-group class)
Stability: stable (|λ|max 1.000)
Loop closure: 3.4×10⁻²¹

Neighbours on the map

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