Atlas1,018 of 3,942

I.B.146

From Li & Liao (2017)

I.B.146 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 181.22 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 0.0000108 of each other at a top speed of 304, line up 352 times a period, and the computed loop closes to 2.9×10⁻²².

Measured over one period

Period: 181.2227406
Masses: 1 : 1 : 1
Energy: -1.99792
Angular momentum: 0
Closest approach: 1.1×10⁻⁵
Top speed: 304.2
Path length: 501.40
Alignments per period: 352
Topology: ababABAbabaBABababABAbabABABabaBABAbabABAbabaBABababABABabaBABabaBABAbabaBABababABAbabABABabaBABAbabABAbabaBABababABAbabaBABabaBABAbabABABabaBABababABAbabaBABAbabABAbabABABababABAbabaBABabaBABAbabABABabaBAB (free-group class)
Stability: stable (|λ|max 1.000, published)
Loop closure: 2.9×10⁻²²

Neighbours on the map

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