Atlas1,268 of 3,915

I.B.5

m₃ = 0.75

From Li & Liao (2017)

I.B.5 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 31.036 time units, published by Li & Liao (2017). Class I.B orbits, for equal and unequal masses. It is weakly unstable (largest Floquet multiplier 3.838), so a small nudge makes it unravel over a few periods. The bodies pass within 0.00574 of each other at a top speed of 14.1, line up 28 times a period, and the computed loop closes to 1.1×10⁻²⁶.

Measured over one period

Period: 31.03576630
Masses: 1 : 1 : 0.75
Energy: -1.01803
Angular momentum: 0
Closest approach: 0.005740
Top speed: 14.05
Path length: 69.256
Alignments per period: 28
Stability: weakly unstable (|λ|max 3.838)
Loop closure: 1.1×10⁻²⁶

Neighbours on the map

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