Atlas494 of 3,915

I.A.120

m₃ = 0.5

From Li, Jing & Liao (2018)

I.A.120 m₃ = 0.5 is a periodic orbit of the planar three-body problem: three masses in the ratio 1 : 1 : 0.5 that return to their starting positions and velocities every 178.46 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 0.0000719 of each other at a top speed of 136, line up 250 times a period, and the computed loop closes to 1.4×10⁻²³.

Measured over one period

Period: 178.4639515
Masses: 1 : 1 : 0.5
Energy: -1.04436
Angular momentum: 0
Closest approach: 7.2×10⁻⁵
Top speed: 136.1
Path length: 424.29
Alignments per period: 250
Stability: stable (|λ|max 1.000)
Loop closure: 1.4×10⁻²³

Neighbours on the map

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