Atlas679 of 3,942

I.A.2

m₃ = 2

From Li, Jing & Liao (2018)

I.A.2 m₃ = 2 is a periodic orbit of the planar three-body problem: three masses in the ratio 1 : 1 : 2 that return to their starting positions and velocities every 11.776 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 0.00799 of each other at a top speed of 18.2, line up 22 times a period, and the computed loop closes to 9.2×10⁻²⁷.

Measured over one period

Period: 11.77614316
Masses: 1 : 1 : 2
Energy: -3.12079
Angular momentum: 0
Closest approach: 0.007994
Top speed: 18.22
Path length: 35.807
Alignments per period: 22
Topology: abababABABAB (free-group class)
Stability: stable (|λ|max 1.000)
Loop closure: 9.2×10⁻²⁷

Neighbours on the map

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