Atlas474 of 3,942

I.A.53

m₃ = 2

From Li, Jing & Liao (2018)

I.A.53 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 173.58 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 0.0000103 of each other at a top speed of 509, line up 386 times a period, and the computed loop closes to 1.9×10⁻²¹.

Measured over one period

Period: 173.5846701
Masses: 1 : 1 : 2
Energy: -3.48235
Angular momentum: 0
Closest approach: 1.0×10⁻⁵
Top speed: 508.7
Path length: 517.89
Alignments per period: 386
Topology: 0 (free-group class)
Stability: stable (|λ|max 1.000)
Loop closure: 1.9×10⁻²¹

Neighbours on the map

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