Atlas968 of 3,915

I.B.81

m₃ = 0.5

From Li & Liao (2017)

I.B.81 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 80.608 time units, published by Li & Liao (2017). Class I.B orbits, for equal and unequal masses. It is weakly unstable (largest Floquet multiplier 1.505), so a small nudge makes it unravel over a few periods. The bodies pass within 0.0000827 of each other at a top speed of 127, line up 168 times a period, and the computed loop closes to 1.3×10⁻¹⁶.

Measured over one period

Period: 80.60830960
Masses: 1 : 1 : 0.5
Energy: -1.33965
Angular momentum: 0
Closest approach: 8.3×10⁻⁵
Top speed: 127.0
Path length: 203.99
Alignments per period: 168
Stability: weakly unstable (|λ|max 1.505)
Loop closure: 1.3×10⁻¹⁶

Neighbours on the map

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