Atlas1,283 of 3,942

I.B.8

m₃ = 2

From Li & Liao (2017)

I.B.8 m₃ = 2 is a periodic orbit of the planar three-body problem: three masses in the ratio 1 : 1 : 2 that return to their starting positions and velocities every 49.166 time units, published by Li & Liao (2017). Class I.B orbits, for equal and unequal masses. It is weakly unstable (largest Floquet multiplier 6.994), so a small nudge makes it unravel over a few periods. The bodies pass within 0.000841 of each other at a top speed of 56.3, line up 76 times a period, and the computed loop closes to 1.3×10⁻²⁵.

Measured over one period

Period: 49.16550255
Masses: 1 : 1 : 2
Energy: -2.76517
Angular momentum: 0
Closest approach: 8.4×10⁻⁴
Top speed: 56.29
Path length: 145.53
Alignments per period: 76
Topology: abababABABAbababABABAbababaBABABababaBABAB (free-group class)
Stability: weakly unstable (|λ|max 6.994)
Loop closure: 1.3×10⁻²⁵

Neighbours on the map

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