Atlas1,259 of 3,942

I.B.159

From Li & Liao (2017)

I.B.159 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 111.06 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 0.00136 of each other at a top speed of 27.1, line up 156 times a period, and the computed loop closes to 6.0×10⁻²⁵.

Measured over one period

Period: 111.0557459
Masses: 1 : 1 : 1
Energy: -1.63193
Angular momentum: 0
Closest approach: 0.001356
Top speed: 27.15
Path length: 292.54
Alignments per period: 156
Topology: abaBAbabABAbabABAbabABAbabABAbabABAbabABAbabABAbabABabaBABabaBABabaBABabaBABabaBABabaBABabaBAB (free-group class)
Stability: stable (|λ|max 1.000, published)
Loop closure: 6.0×10⁻²⁵

Neighbours on the map

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