Atlas1,222 of 3,942

I.B.14

m₃ = 0.75

From Li & Liao (2017)

I.B.14 m₃ = 0.75 is a periodic orbit of the planar three-body problem: three masses in the ratio 1 : 1 : 0.75 that return to their starting positions and velocities every 48.558 time units, published by Li & Liao (2017). Class I.B orbits, for equal and unequal masses. It is weakly unstable (largest Floquet multiplier 9.416), so a small nudge makes it unravel over a few periods. The bodies pass within 0.00283 of each other at a top speed of 20.1, line up 60 times a period, and the computed loop closes to 8.6×10⁻²⁶.

Measured over one period

Period: 48.55832015
Masses: 1 : 1 : 0.75
Energy: -1.24697
Angular momentum: 0
Closest approach: 0.002832
Top speed: 20.07
Path length: 117.68
Alignments per period: 60
Topology: abaBAbabABabABAbaBAbabABabaBAbaBABabAB (free-group class)
Stability: weakly unstable (|λ|max 9.416)
Loop closure: 8.6×10⁻²⁶

Neighbours on the map

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