Atlas1,272 of 3,915

I.B.12

m₃ = 0.75

From Li & Liao (2017)

I.B.12 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 66.857 time units, published by Li & Liao (2017). Class I.B orbits, for equal and unequal masses. It is weakly unstable (largest Floquet multiplier 5.470), so a small nudge makes it unravel over a few periods. The bodies pass within 0.0384 of each other at a top speed of 5.49, line up 52 times a period, and the computed loop closes to 5.8×10⁻²⁵.

Measured over one period

Period: 66.85680482
Masses: 1 : 1 : 0.75
Energy: -0.928898
Angular momentum: 0
Closest approach: 0.03843
Top speed: 5.489
Path length: 144.11
Alignments per period: 52
Stability: weakly unstable (|λ|max 5.470)
Loop closure: 5.8×10⁻²⁵

Neighbours on the map

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