Atlas1,136 of 3,942

I.B.80

From Li & Liao (2017)

I.B.80 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 121.25 time units, published by Li & Liao (2017). Class I.B orbits, for equal and unequal masses. It is linearly stable (largest Floquet multiplier 1.005), so a small nudge only makes it wobble. The bodies pass within 0.00121 of each other at a top speed of 28.7, line up 184 times a period, and the computed loop closes to 1.1×10⁻¹³.

Measured over one period

Period: 121.2499866
Masses: 1 : 1 : 1
Energy: -1.71242
Angular momentum: 0
Closest approach: 0.001211
Top speed: 28.74
Path length: 323.75
Alignments per period: 184
Topology: ababABAbabABAbabABAbabABAbabABAbabABAbabABAbabABAbabABAbabaBABabaBABabaBABabaBABabaBABabaBABabaBABabaBABabaBAB (free-group class)
Stability: stable (|λ|max 1.005)
Loop closure: 1.1×10⁻¹³

Neighbours on the map

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