Atlas1,193 of 3,915

I.B.22

m₃ = 2

From Li & Liao (2017)

I.B.22 m₃ = 2 is a periodic orbit of the planar three-body problem: three masses in the ratio 1 : 1 : 2 that return to their starting positions and velocities every 84.834 time units, published by Li & Liao (2017). Class I.B orbits, for equal and unequal masses. It is weakly unstable (largest Floquet multiplier 1.499), so a small nudge makes it unravel over a few periods. The bodies pass within 0.000375 of each other at a top speed of 84.4, line up 180 times a period, and the computed loop closes to 5.0×10⁻²⁵.

Measured over one period

Period: 84.83351852
Masses: 1 : 1 : 2
Energy: -3.39421
Angular momentum: 0
Closest approach: 3.7×10⁻⁴
Top speed: 84.37
Path length: 266.96
Alignments per period: 180
Stability: weakly unstable (|λ|max 1.499)
Loop closure: 5.0×10⁻²⁵

Neighbours on the map

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