Atlas817 of 3,942

I.B.166

From Li & Liao (2017)

I.B.166 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 138.5 time units, published by Li & Liao (2017). Class I.B orbits, for equal and unequal masses. It is unstable (largest Floquet multiplier 305.8), so a small nudge makes it unravel over a few periods. The bodies pass within 0.000208 of each other at a top speed of 69.3, line up 212 times a period, and the computed loop closes to 2.8×10⁻²³.

Measured over one period

Period: 138.5002592
Masses: 1 : 1 : 1
Energy: -1.68843
Angular momentum: 0
Closest approach: 2.1×10⁻⁴
Top speed: 69.33
Path length: 331.41
Alignments per period: 212
Topology: ababABAbabaBABababABABababABABababABABabaBABAbabaBABAbabaBABAbabaBABababABAbabaBABAbabaBABAbabaBABAbabABABababABABababABAB (free-group class)
Stability: unstable (|λ|max 305.8)
Loop closure: 2.8×10⁻²³

Neighbours on the map

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