Atlas1,184 of 3,915

I.B.9

m₃ = 0.75

From Li & Liao (2017)

I.B.9 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 28.831 time units, published by Li & Liao (2017). Class I.B orbits, for equal and unequal masses. It is unstable (largest Floquet multiplier 15.88), so a small nudge makes it unravel over a few periods. The bodies pass within 0.00844 of each other at a top speed of 11.6, line up 40 times a period, and the computed loop closes to 8.4×10⁻²⁸.

Measured over one period

Period: 28.83112194
Masses: 1 : 1 : 0.75
Energy: -1.36291
Angular momentum: 0
Closest approach: 0.008443
Top speed: 11.56
Path length: 75.041
Alignments per period: 40
Stability: unstable (|λ|max 15.88)
Loop closure: 8.4×10⁻²⁸

Neighbours on the map

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