Atlas948 of 3,915

I.B.43

m₃ = 0.5

From Li & Liao (2017)

I.B.43 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 85.959 time units, published by Li & Liao (2017). Class I.B orbits, for equal and unequal masses. It is unstable (largest Floquet multiplier 123.4), so a small nudge makes it unravel over a few periods. The bodies pass within 0.00248 of each other at a top speed of 23.2, line up 104 times a period, and the computed loop closes to 8.8×10⁻²⁵.

Measured over one period

Period: 85.95882029
Masses: 1 : 1 : 0.5
Energy: -0.948356
Angular momentum: 0
Closest approach: 0.002480
Top speed: 23.20
Path length: 190.57
Alignments per period: 104
Stability: unstable (|λ|max 123.4)
Loop closure: 8.8×10⁻²⁵

Neighbours on the map

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