Atlas647 of 3,915

I.A.6

m₃ = 5

From Li, Jing & Liao (2018)

I.A.6 m₃ = 5 is a periodic orbit of the planar three-body problem: three masses in the ratio 1 : 1 : 5 that return to their starting positions and velocities every 199.15 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 1.010), so a small nudge makes it unravel over a few periods. The bodies pass within 0.0000321 of each other at a top speed of 51, line up 610 times a period, and the computed loop closes to 1.6×10⁻²².

Measured over one period

Period: 199.1483651
Masses: 1 : 1 : 5
Energy: -8.13822
Angular momentum: 0
Closest approach: 3.2×10⁻⁵
Top speed: 509.8
Path length: 889.04
Alignments per period: 610
Stability: weakly unstable (|λ|max 1.010)
Loop closure: 1.6×10⁻²²

Neighbours on the map

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