Atlas1,183 of 3,942

I.B.27

m₃ = 0.75

From Li & Liao (2017)

I.B.27 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 67.943 time units, published by Li & Liao (2017). Class I.B orbits, for equal and unequal masses. It is weakly unstable (largest Floquet multiplier 5.902), so a small nudge makes it unravel over a few periods. The bodies pass within 0.00111 of each other at a top speed of 32.1, line up 96 times a period, and the computed loop closes to 5.4×10⁻²⁵.

Measured over one period

Period: 67.94329936
Masses: 1 : 1 : 0.75
Energy: -1.37576
Angular momentum: 0
Closest approach: 0.001112
Top speed: 32.11
Path length: 177.06
Alignments per period: 96
Topology: abaBabaBAbaBAbabABabABabaBAbaBAbabAbabABabABabaBAbaBAbabABabAB (free-group class)
Stability: weakly unstable (|λ|max 5.902)
Loop closure: 5.4×10⁻²⁵

Neighbours on the map

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