Atlas1,124 of 3,915

I.B.137

m₃ = 0.5

From Li & Liao (2017)

I.B.137 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 180.88 time units, published by Li & Liao (2017). Class I.B orbits, for equal and unequal masses. It is unstable (largest Floquet multiplier 13.27), so a small nudge makes it unravel over a few periods. The bodies pass within 0.00162 of each other at a top speed of 28.7, line up 268 times a period, and the computed loop closes to 1.7×10⁻²⁵.

Measured over one period

Period: 180.8849025
Masses: 1 : 1 : 0.5
Energy: -1.09092
Angular momentum: 0
Closest approach: 0.001617
Top speed: 28.70
Path length: 443.74
Alignments per period: 268
Stability: unstable (|λ|max 13.27)
Loop closure: 1.7×10⁻²⁵

Neighbours on the map

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