Atlas304 of 3,915

I.A.91

m₃ = 0.75

From Li, Jing & Liao (2018)

I.A.91 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 169.84 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 linearly stable (largest Floquet multiplier 1.000), so a small nudge only makes it wobble. The bodies pass within 0.0000148 of each other at a top speed of 278, line up 294 times a period, and the computed loop closes to 6.3×10⁻¹⁶.

Measured over one period

Period: 169.8426053
Masses: 1 : 1 : 0.75
Energy: -1.51357
Angular momentum: 0
Closest approach: 1.5×10⁻⁵
Top speed: 278.0
Path length: 410.53
Alignments per period: 294
Stability: stable (|λ|max 1.000)
Loop closure: 6.3×10⁻¹⁶

Neighbours on the map

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