Atlas1,022 of 3,942

I.B.90

From Li & Liao (2017)

I.B.90 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 124.61 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 0.000137 of each other at a top speed of 85.5, line up 208 times a period, and the computed loop closes to 1.4×10⁻²³.

Measured over one period

Period: 124.6052698
Masses: 1 : 1 : 1
Energy: -1.80807
Angular momentum: 0
Closest approach: 1.4×10⁻⁴
Top speed: 85.49
Path length: 329.98
Alignments per period: 208
Topology: ababABAbabaBABabaBABAbabABAbabaBABababABAbabABABabaBABAbabABAbabaBABababABAbabABABabaBABababABAbabaBABabaBABAbabABABabaBAB (free-group class)
Stability: stable (|λ|max 1.000)
Loop closure: 1.4×10⁻²³

Neighbours on the map

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