Atlas317 of 3,942

I.A.35

m₃ = 2

From Li, Jing & Liao (2018)

I.A.35 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 105.35 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 weakly unstable (largest Floquet multiplier 1.538), so a small nudge makes it unravel over a few periods. The bodies pass within 0.0000319 of each other at a top speed of 289, line up 298 times a period, and the computed loop closes to 6.7×10⁻²³.

Measured over one period

Period: 105.3479284
Masses: 1 : 1 : 2
Energy: -4.07939
Angular momentum: 0
Closest approach: 3.2×10⁻⁵
Top speed: 289.1
Path length: 324.61
Alignments per period: 298
Topology: ababababABABABAbabababABABABAbabababaBABABABabababaBABABABababababABABABAbabababABABABABabababaBABABABabababaBABABABAbabababABABABAbabababABABABABabababaBABABAB (free-group class)
Stability: weakly unstable (|λ|max 1.538)
Loop closure: 6.7×10⁻²³

Neighbours on the map

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