Atlas557 of 3,915

I.A.4

m₃ = 8

From Li, Jing & Liao (2018)

I.A.4 m₃ = 8 is a periodic orbit of the planar three-body problem: three masses in the ratio 1 : 1 : 8 that return to their starting positions and velocities every 196.19 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 0.00000602 of each other at a top speed of 1537, line up 878 times a period, and the computed loop closes to 4.5×10⁻²².

Measured over one period

Period: 196.1893236
Masses: 1 : 1 : 8
Energy: -14.4258
Angular momentum: 0
Closest approach: 6.0×10⁻⁶
Top speed: 1537
Path length: 1085.4
Alignments per period: 878
Stability: weakly unstable (|λ|max 1.000)
Loop closure: 4.5×10⁻²²

Neighbours on the map

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