Atlas954 of 3,915

I.B.108

m₃ = 0.75

From Li & Liao (2017)

I.B.108 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 125.66 time units, published by Li & Liao (2017). Class I.B orbits, for equal and unequal masses. It is weakly unstable (largest Floquet multiplier 1.183), so a small nudge makes it unravel over a few periods. The bodies pass within 0.00000372 of each other at a top speed of 555, line up 288 times a period, and the computed loop closes to 3.7×10⁻¹⁷.

Measured over one period

Period: 125.6625897
Masses: 1 : 1 : 0.75
Energy: -1.83606
Angular momentum: 0
Closest approach: 3.7×10⁻⁶
Top speed: 554.5
Path length: 330.09
Alignments per period: 288
Stability: weakly unstable (|λ|max 1.183)
Loop closure: 3.7×10⁻¹⁷

Neighbours on the map

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