Atlas871 of 3,942

I.B.138

From Li & Liao (2017)

I.B.138 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 180.62 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 0.0000343 of each other at a top speed of 171, line up 328 times a period, and the computed loop closes to 8.2×10⁻¹⁸.

Measured over one period

Period: 180.6239887
Masses: 1 : 1 : 1
Energy: -1.89943
Angular momentum: 0
Closest approach: 3.4×10⁻⁵
Top speed: 170.8
Path length: 473.71
Alignments per period: 328
Topology: ababABAbabaBABababABABabaBABAbabaBABababABABabaBABAbabaBABababABABabaBABAbabaBABababABABabaBABAbabaBABababABAbabaBABAbabABABababABAbabaBABAbabABABababABAbabaBABAbabABABababABAbabaBABAbabABAB (free-group class)
Stability: stable (|λ|max 1.000)
Loop closure: 8.2×10⁻¹⁸

Neighbours on the map

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