Atlas1,163 of 3,915

I.B.33

m₃ = 0.75

From Li & Liao (2017)

I.B.33 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 75.655 time units, published by Li & Liao (2017). Class I.B orbits, for equal and unequal masses. It is unstable (largest Floquet multiplier 73.39), so a small nudge makes it unravel over a few periods. The bodies pass within 0.00583 of each other at a top speed of 13.9, line up 108 times a period, and the computed loop closes to 3.8×10⁻²⁷.

Measured over one period

Period: 75.65529597
Masses: 1 : 1 : 0.75
Energy: -1.38737
Angular momentum: 0
Closest approach: 0.005829
Top speed: 13.93
Path length: 198.38
Alignments per period: 108
Stability: unstable (|λ|max 73.39)
Loop closure: 3.8×10⁻²⁷

Neighbours on the map

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