Atlas354 of 3,915

I.A.13

m₃ = 2

From Li, Jing & Liao (2018)

I.A.13 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 50.555 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 1.003), so a small nudge only makes it wobble. The bodies pass within 0.000139 of each other at a top speed of 139, line up 134 times a period, and the computed loop closes to 1.6×10⁻²⁴.

Measured over one period

Period: 50.55494440
Masses: 1 : 1 : 2
Energy: -3.90787
Angular momentum: 0
Closest approach: 1.4×10⁻⁴
Top speed: 138.6
Path length: 154.41
Alignments per period: 134
Stability: stable (|λ|max 1.003)
Loop closure: 1.6×10⁻²⁴

Neighbours on the map

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