Atlas1,257 of 3,942

I.B.27

From Li & Liao (2017)

I.B.27 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 92.56 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 0.00237 of each other at a top speed of 20.5, line up 100 times a period, and the computed loop closes to 2.0×10⁻²⁵.

Measured over one period

Period: 92.56044037
Masses: 1 : 1 : 1
Energy: -1.38433
Angular momentum: 0
Closest approach: 0.002373
Top speed: 20.53
Path length: 231.12
Alignments per period: 100
Topology: abaBAbabABabaBAbabABAbaBABabABAbabABabaBAbabABabaBABabABAbaBAB (free-group class)
Stability: stable (|λ|max 1.000, published)
Loop closure: 2.0×10⁻²⁵

Neighbours on the map

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