Atlas390 of 3,915

I.A.147

m₃ = 0.5

From Li, Jing & Liao (2018)

I.A.147 m₃ = 0.5 is a periodic orbit of the planar three-body problem: three masses in the ratio 1 : 1 : 0.5 that return to their starting positions and velocities every 198.88 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 1.222), so a small nudge makes it unravel over a few periods. The bodies pass within 0.000017 of each other at a top speed of 28, line up 406 times a period, and the computed loop closes to 2.7×10⁻²¹.

Measured over one period

Period: 198.8845878
Masses: 1 : 1 : 0.5
Energy: -1.31527
Angular momentum: 0
Closest approach: 1.7×10⁻⁵
Top speed: 280.2
Path length: 496.41
Alignments per period: 406
Stability: weakly unstable (|λ|max 1.222)
Loop closure: 2.7×10⁻²¹

Neighbours on the map

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