Atlas1,221 of 3,915

I.B.1

m₃ = 0.75

From Li & Liao (2017)

I.B.1 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 12.222 time units, published by Li & Liao (2017). Class I.B orbits, for equal and unequal masses. It is weakly unstable (largest Floquet multiplier 2.059), so a small nudge makes it unravel over a few periods. The bodies pass within 0.0312 of each other at a top speed of 5.98, line up 16 times a period, and the computed loop closes to 8.0×10⁻²⁹.

Measured over one period

Period: 12.22205459
Masses: 1 : 1 : 0.75
Energy: -1.28748
Angular momentum: 0
Closest approach: 0.03118
Top speed: 5.980
Path length: 29.703
Alignments per period: 16
Stability: weakly unstable (|λ|max 2.059)
Loop closure: 8.0×10⁻²⁹

Neighbours on the map

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