Atlas1,065 of 3,942

I.B.39

From Li & Liao (2017)

I.B.39 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 69.767 time units, published by Li & Liao (2017). Class I.B orbits, for equal and unequal masses. It is weakly unstable (largest Floquet multiplier 3.332), so a small nudge makes it unravel over a few periods. The bodies pass within 0.00333 of each other at a top speed of 17.4, line up 140 times a period, and the computed loop closes to 1.2×10⁻²⁶.

Measured over one period

Period: 69.76658576
Masses: 1 : 1 : 1
Energy: -2.04273
Angular momentum: 0
Closest approach: 0.003329
Top speed: 17.36
Path length: 195.49
Alignments per period: 140
Topology: ababABAbabaBABababABAbabABABabaBABAbabABAbabaBABababABAbabaBABabaBABAbabABABabaBAB (free-group class)
Stability: weakly unstable (|λ|max 3.332)
Loop closure: 1.2×10⁻²⁶

Neighbours on the map

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