Atlas835 of 3,942

I.B.169

From Li & Liao (2017)

I.B.169 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 172.12 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 0.00011 of each other at a top speed of 95.2, line up 252 times a period, and the computed loop closes to 2.7×10⁻²³.

Measured over one period

Period: 172.1153250
Masses: 1 : 1 : 1
Energy: -1.64572
Angular momentum: 0
Closest approach: 1.1×10⁻⁴
Top speed: 95.21
Path length: 419.03
Alignments per period: 252
Topology: ababABAbabaBABababABAbabaBABAbabaBABababABABabaBABAbabABABababABAbabaBABAbabaBABababABAbabaBABababABABababABAbabaBABAbabABABabaBABAbabaBABababABAB (free-group class)
Stability: stable (|λ|max 1.000, published)
Loop closure: 2.7×10⁻²³

Neighbours on the map

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