Atlas721 of 3,915

I.A.20

m₃ = 2

From Li, Jing & Liao (2018)

I.A.20 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 131.12 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 2.010), so a small nudge makes it unravel over a few periods. The bodies pass within 0.000545 of each other at a top speed of 70, line up 194 times a period, and the computed loop closes to 7.3×10⁻²⁵.

Measured over one period

Period: 131.1248768
Masses: 1 : 1 : 2
Energy: -2.69181
Angular momentum: 0
Closest approach: 5.4×10⁻⁴
Top speed: 69.98
Path length: 386.94
Alignments per period: 194
Stability: weakly unstable (|λ|max 2.010)
Loop closure: 7.3×10⁻²⁵

Neighbours on the map

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