Atlas715 of 3,942

I.A.7

m₃ = 2

From Li, Jing & Liao (2018)

I.A.7 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 61.655 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 9.754), so a small nudge makes it unravel over a few periods. The bodies pass within 0.000538 of each other at a top speed of 70.4, line up 94 times a period, and the computed loop closes to 2.5×10⁻²⁴.

Measured over one period

Period: 61.65492173
Masses: 1 : 1 : 2
Energy: -2.74080
Angular momentum: 0
Closest approach: 5.4×10⁻⁴
Top speed: 70.40
Path length: 182.00
Alignments per period: 94
Topology: abababABABAbababABABAbababABABABababaBABABababaBABAB (free-group class)
Stability: weakly unstable (|λ|max 9.754)
Loop closure: 2.5×10⁻²⁴

Neighbours on the map

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