Atlas560 of 3,915

I.A.37

m₃ = 2

From Li, Jing & Liao (2018)

I.A.37 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 148.4 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 0.0000252 of each other at a top speed of 326, line up 310 times a period, and the computed loop closes to 1.2×10⁻¹⁶.

Measured over one period

Period: 148.4035754
Masses: 1 : 1 : 2
Energy: -3.35107
Angular momentum: 0
Closest approach: 2.5×10⁻⁵
Top speed: 325.5
Path length: 453.58
Alignments per period: 310
Stability: stable (|λ|max 1.000)
Loop closure: 1.2×10⁻¹⁶

Neighbours on the map

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