Atlas716 of 3,942

I.A.17

m₃ = 2

From Li, Jing & Liao (2018)

I.A.17 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 111.74 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 5.529), so a small nudge makes it unravel over a few periods. The bodies pass within 0.000145 of each other at a top speed of 136, line up 166 times a period, and the computed loop closes to 7.5×10⁻²⁴.

Measured over one period

Period: 111.7375242
Masses: 1 : 1 : 2
Energy: -2.69552
Angular momentum: 0
Closest approach: 1.4×10⁻⁴
Top speed: 135.7
Path length: 328.05
Alignments per period: 166
Topology: abababABABAbababABABAbababABABAbababABABAbababABABABababaBABABababaBABABababaBABABababaBABAB (free-group class)
Stability: weakly unstable (|λ|max 5.529)
Loop closure: 7.5×10⁻²⁴

Neighbours on the map

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