Atlas733 of 3,915

I.A.25

m₃ = 0.75

From Li, Jing & Liao (2018)

I.A.25 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 81.56 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 unstable (largest Floquet multiplier 148.5), so a small nudge makes it unravel over a few periods. The bodies pass within 0.00543 of each other at a top speed of 14.5, line up 86 times a period, and the computed loop closes to 1.9×10⁻²⁵.

Measured over one period

Period: 81.55998447
Masses: 1 : 1 : 0.75
Energy: -1.13602
Angular momentum: 0
Closest approach: 0.005433
Top speed: 14.48
Path length: 193.53
Alignments per period: 86
Stability: unstable (|λ|max 148.5)
Loop closure: 1.9×10⁻²⁵

Neighbours on the map

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