Atlas879 of 3,942

I.B.41

From Li & Liao (2017)

I.B.41 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 67.651 time units, published by Li & Liao (2017). Class I.B orbits, for equal and unequal masses. It is weakly unstable (largest Floquet multiplier 1.818), so a small nudge makes it unravel over a few periods. The bodies pass within 0.0000207 of each other at a top speed of 22, line up 144 times a period, and the computed loop closes to 1.0×10⁻¹⁷.

Measured over one period

Period: 67.65065084
Masses: 1 : 1 : 1
Energy: -2.08933
Angular momentum: 0
Closest approach: 2.1×10⁻⁵
Top speed: 219.7
Path length: 171.69
Alignments per period: 144
Topology: ababaBABAbabaBABAbabaBABAbabaBABAbabaBABAbababABABababABABababABABababABABababABAB (free-group class)
Stability: weakly unstable (|λ|max 1.818)
Loop closure: 1.0×10⁻¹⁷

Neighbours on the map

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