Atlas1,112 of 3,915

I.B.35

m₃ = 0.5

From Li & Liao (2017)

I.B.35 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 50.36 time units, published by Li & Liao (2017). Class I.B orbits, for equal and unequal masses. It is weakly unstable (largest Floquet multiplier 2.706), so a small nudge makes it unravel over a few periods. The bodies pass within 0.000468 of each other at a top speed of 53.3, line up 96 times a period, and the computed loop closes to 6.3×10⁻²⁵.

Measured over one period

Period: 50.36017637
Masses: 1 : 1 : 0.5
Energy: -1.30039
Angular momentum: 0
Closest approach: 4.7×10⁻⁴
Top speed: 53.31
Path length: 131.77
Alignments per period: 96
Stability: weakly unstable (|λ|max 2.706)
Loop closure: 6.3×10⁻²⁵

Neighbours on the map

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