Atlas745 of 3,942

I.A.29

m₃ = 2

From Li, Jing & Liao (2018)

I.A.29 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 186.62 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 0.0000353 of each other at a top speed of 275, line up 266 times a period, and the computed loop closes to 5.9×10⁻²³.

Measured over one period

Period: 186.6182866
Masses: 1 : 1 : 2
Energy: -2.62531
Angular momentum: 0
Closest approach: 3.5×10⁻⁵
Top speed: 275.1
Path length: 543.58
Alignments per period: 266
Topology: ababaBABAbababABABAbababABABAbababABABAbababABABAbababABABAbababABABAbababABABAbabaBABABababaBABABababaBABABababaBABABababaBABABababaBABABababaBABAB (free-group class)
Stability: stable (|λ|max 1.000)
Loop closure: 5.9×10⁻²³

Neighbours on the map

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