Atlas511 of 3,915

I.A.33

m₃ = 2

From Li, Jing & Liao (2018)

I.A.33 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 127.49 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 0.0000205 of each other at a top speed of 361, line up 282 times a period, and the computed loop closes to 6.0×10⁻¹⁶.

Measured over one period

Period: 127.4910900
Masses: 1 : 1 : 2
Energy: -3.47062
Angular momentum: 0
Closest approach: 2.0×10⁻⁵
Top speed: 360.8
Path length: 380.73
Alignments per period: 282
Stability: stable (|λ|max 1.000)
Loop closure: 6.0×10⁻¹⁶

Neighbours on the map

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