Atlas930 of 3,942

I.B.180

From Li & Liao (2017)

I.B.180 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 180.45 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 0.0000421 of each other at a top speed of 154, line up 320 times a period, and the computed loop closes to 8.0×10⁻²³.

Measured over one period

Period: 180.4504761
Masses: 1 : 1 : 1
Energy: -1.87326
Angular momentum: 0
Closest approach: 4.2×10⁻⁵
Top speed: 154.1
Path length: 475.08
Alignments per period: 320
Topology: ababABAbabaBABababABAbabaBABAbabABABabaBABAbabaBABababABAbabaBABababABABabaBABAbabABABabaBABAbabaBABababABAbabaBABababABABabaBABAbabABABababABAbabaBABababABAbabaBABAbabABABabaBABAbabABAB (free-group class)
Stability: stable (|λ|max 1.000)
Loop closure: 8.0×10⁻²³

Neighbours on the map

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