Atlas405 of 3,915

I.A.80

m₃ = 0.75

From Li, Jing & Liao (2018)

I.A.80 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 125.91 time units, published by Li, Jing & Liao (2018). Class I.A orbits found with Liao’s clean numerical simulation method, for a third body of varying mass. It is weakly unstable (largest Floquet multiplier 1.317), so a small nudge makes it unravel over a few periods. The bodies pass within 0.000126 of each other at a top speed of 95.4, line up 246 times a period, and the computed loop closes to 2.5×10⁻²⁴.

Measured over one period

Period: 125.9073063
Masses: 1 : 1 : 0.75
Energy: -1.64596
Angular momentum: 0
Closest approach: 1.3×10⁻⁴
Top speed: 95.38
Path length: 320.32
Alignments per period: 246
Stability: weakly unstable (|λ|max 1.317)
Loop closure: 2.5×10⁻²⁴

Neighbours on the map

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