Atlas911 of 3,942

I.B.52

From Li & Liao (2017)

I.B.52 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 84.819 time units, published by Li & Liao (2017). Class I.B orbits, for equal and unequal masses. It is unstable (largest Floquet multiplier 21.04), so a small nudge makes it unravel over a few periods. The bodies pass within 0.000411 of each other at a top speed of 49.3, line up 184 times a period, and the computed loop closes to 3.3×10⁻²⁴.

Measured over one period

Period: 84.81892745
Masses: 1 : 1 : 1
Energy: -2.13161
Angular momentum: 0
Closest approach: 4.1×10⁻⁴
Top speed: 49.33
Path length: 230.86
Alignments per period: 184
Topology: ababABAbabaBABAbabaBABababABABababABAbabaBABAbabaBABAbabaBABababABABababABAbabaBABAbabaBABababABABababABAB (free-group class)
Stability: unstable (|λ|max 21.04)
Loop closure: 3.3×10⁻²⁴

Neighbours on the map

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