Atlas399 of 3,942

I.A.61

m₃ = 2

From Li, Jing & Liao (2018)

I.A.61 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 181.33 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 2.501), so a small nudge makes it unravel over a few periods. The bodies pass within 0.0000232 of each other at a top speed of 339, line up 498 times a period, and the computed loop closes to 5.1×10⁻²².

Measured over one period

Period: 181.3252835
Masses: 1 : 1 : 2
Energy: -4.00586
Angular momentum: 0
Closest approach: 2.3×10⁻⁵
Top speed: 339.2
Path length: 571.52
Alignments per period: 498
Topology: ababababABABABAbabababABABABabababaBABABABAbabababABABABAbabababABABABAbabababABABABAbabababABABABAbabababaBABABABabababABABABAbabababABABABABabababaBABABABabababABABABAbabababaBABABABabababaBABABABabababaBABABABabababaBABABABabababaBABABABAbabababABABABabababaBABABAB (free-group class)
Stability: weakly unstable (|λ|max 2.501)
Loop closure: 5.1×10⁻²²

Neighbours on the map

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