Atlas548 of 3,915

I.A.132

m₃ = 0.5

From Li, Jing & Liao (2018)

I.A.132 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 135.89 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 3.599), so a small nudge makes it unravel over a few periods. The bodies pass within 0.000112 of each other at a top speed of 109, line up 274 times a period, and the computed loop closes to 1.1×10⁻²³.

Measured over one period

Period: 135.8934495
Masses: 1 : 1 : 0.5
Energy: -1.33094
Angular momentum: 0
Closest approach: 1.1×10⁻⁴
Top speed: 109.2
Path length: 357.67
Alignments per period: 274
Stability: weakly unstable (|λ|max 3.599)
Loop closure: 1.1×10⁻²³

Neighbours on the map

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