Atlas599 of 3,915

I.A.24

m₃ = 4

From Li, Jing & Liao (2018)

I.A.24 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 149.02 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 1.017), so a small nudge makes it unravel over a few periods. The bodies pass within 0.00000835 of each other at a top speed of 876, line up 422 times a period, and the computed loop closes to 7.7×10⁻¹⁷.

Measured over one period

Period: 149.0219606
Masses: 1 : 1 : 4
Energy: -6.61996
Angular momentum: 0
Closest approach: 8.3×10⁻⁶
Top speed: 875.7
Path length: 592.16
Alignments per period: 422
Stability: weakly unstable (|λ|max 1.017)
Loop closure: 7.7×10⁻¹⁷

Neighbours on the map

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