Atlas1,296 of 3,942

I.B.158

From Li & Liao (2017)

I.B.158 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 106.56 time units, published by Li & Liao (2017). Class I.B orbits, for equal and unequal masses. It is unstable (largest Floquet multiplier 16.83), so a small nudge makes it unravel over a few periods. The bodies pass within 0.0139 of each other at a top speed of 8.48, line up 104 times a period, and the computed loop closes to 2.5×10⁻²⁶.

Measured over one period

Period: 106.5560502
Masses: 1 : 1 : 1
Energy: -1.30174
Angular momentum: 0
Closest approach: 0.01394
Top speed: 8.479
Path length: 263.33
Alignments per period: 104
Topology: abaBAbabABabABAbaBAbabABabABAbaBAbabABabaBAbaBABabABabaBAbaBABabAB (free-group class)
Stability: unstable (|λ|max 16.83)
Loop closure: 2.5×10⁻²⁶

Neighbours on the map

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