Atlas717 of 3,915

I.A.26

m₃ = 4

From Li, Jing & Liao (2018)

I.A.26 m₃ = 4 is a periodic orbit of the planar three-body problem: three masses in the ratio 1 : 1 : 4 that return to their starting positions and velocities every 199.22 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 1.000), so a small nudge makes it unravel over a few periods. The bodies pass within 0.0000268 of each other at a top speed of 488, line up 458 times a period, and the computed loop closes to 4.2×10⁻¹⁸.

Measured over one period

Period: 199.2150728
Masses: 1 : 1 : 4
Energy: -5.77489
Angular momentum: 0
Closest approach: 2.7×10⁻⁵
Top speed: 488.3
Path length: 779.22
Alignments per period: 458
Stability: weakly unstable (|λ|max 1.000)
Loop closure: 4.2×10⁻¹⁸

Neighbours on the map

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