Atlas1,236 of 3,942

I.B.5

m₃ = 0.5

From Li & Liao (2017)

I.B.5 m₃ = 0.5 is a periodic orbit of the planar three-body problem: three masses in the ratio 1 : 1 : 0.5 that return to their starting positions and velocities every 31.129 time units, published by Li & Liao (2017). Class I.B orbits, for equal and unequal masses. It is unstable (largest Floquet multiplier 646.5), so a small nudge makes it unravel over a few periods. The bodies pass within 0.28 of each other at a top speed of 1.81, line up 16 times a period, and the computed loop closes to 1.9×10⁻²⁸.

Measured over one period

Period: 31.12913749
Masses: 1 : 1 : 0.5
Energy: -0.624805
Angular momentum: 0
Closest approach: 0.2795
Top speed: 1.809
Path length: 55.700
Alignments per period: 16
Topology: aaaaBAAAB (free-group class)
Stability: unstable (|λ|max 646.5)
Loop closure: 1.9×10⁻²⁸

Neighbours on the map

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