Atlas1,207 of 3,915

I.B.6

m₃ = 0.75

From Li & Liao (2017)

I.B.6 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 17.94 time units, published by Li & Liao (2017). Class I.B orbits, for equal and unequal masses. It is unstable (largest Floquet multiplier 259.9), so a small nudge makes it unravel over a few periods. The bodies pass within 0.144 of each other at a top speed of 2.82, line up 24 times a period, and the computed loop closes to 2.1×10⁻²⁸.

Measured over one period

Period: 17.93962409
Masses: 1 : 1 : 0.75
Energy: -1.37878
Angular momentum: 0
Closest approach: 0.1440
Top speed: 2.819
Path length: 47.362
Alignments per period: 24
Stability: unstable (|λ|max 259.9)
Loop closure: 2.1×10⁻²⁸

Neighbours on the map

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