Atlas586 of 3,915

I.A.104

m₃ = 0.5

From Li, Jing & Liao (2018)

I.A.104 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 174.31 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 1.052), so a small nudge makes it unravel over a few periods. The bodies pass within 0.000314 of each other at a top speed of 65.1, line up 222 times a period, and the computed loop closes to 4.5×10⁻²⁵.

Measured over one period

Period: 174.3071370
Masses: 1 : 1 : 0.5
Energy: -0.991018
Angular momentum: 0
Closest approach: 3.1×10⁻⁴
Top speed: 65.12
Path length: 410.64
Alignments per period: 222
Stability: weakly unstable (|λ|max 1.052)
Loop closure: 4.5×10⁻²⁵

Neighbours on the map

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