Atlas653 of 3,915

I.A.39

m₃ = 2

From Li, Jing & Liao (2018)

I.A.39 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 177.28 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 0.0000369 of each other at a top speed of 269, line up 322 times a period, and the computed loop closes to 3.4×10⁻²².

Measured over one period

Period: 177.2812673
Masses: 1 : 1 : 2
Energy: -3.06566
Angular momentum: 0
Closest approach: 3.7×10⁻⁵
Top speed: 269.0
Path length: 538.00
Alignments per period: 322
Stability: stable (|λ|max 1.000)
Loop closure: 3.4×10⁻²²

Neighbours on the map

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