Atlas655 of 3,915

I.A.25

m₃ = 2

From Li, Jing & Liao (2018)

I.A.25 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 112.28 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 1.131), so a small nudge makes it unravel over a few periods. The bodies pass within 0.0000293 of each other at a top speed of 302, line up 234 times a period, and the computed loop closes to 1.1×10⁻¹⁵.

Measured over one period

Period: 112.2826009
Masses: 1 : 1 : 2
Energy: -3.36114
Angular momentum: 0
Closest approach: 2.9×10⁻⁵
Top speed: 301.6
Path length: 357.79
Alignments per period: 234
Stability: weakly unstable (|λ|max 1.131)
Loop closure: 1.1×10⁻¹⁵

Neighbours on the map

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