Atlas437 of 3,915

I.A.18

m₃ = 2

From Li, Jing & Liao (2018)

I.A.18 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 67.357 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 1.125), so a small nudge makes it unravel over a few periods. The bodies pass within 0.000117 of each other at a top speed of 151, line up 178 times a period, and the computed loop closes to 2.9×10⁻¹⁷.

Measured over one period

Period: 67.35693854
Masses: 1 : 1 : 2
Energy: -3.90941
Angular momentum: 0
Closest approach: 1.2×10⁻⁴
Top speed: 150.9
Path length: 214.37
Alignments per period: 178
Stability: weakly unstable (|λ|max 1.125)
Loop closure: 2.9×10⁻¹⁷

Neighbours on the map

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