Atlas580 of 3,915

I.A.129

m₃ = 0.5

From Li, Jing & Liao (2018)

I.A.129 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 194.74 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 1.601), so a small nudge makes it unravel over a few periods. The bodies pass within 0.00068 of each other at a top speed of 44.3, line up 258 times a period, and the computed loop closes to 5.5×10⁻²⁵.

Measured over one period

Period: 194.7380941
Masses: 1 : 1 : 0.5
Energy: -1.02840
Angular momentum: 0
Closest approach: 6.8×10⁻⁴
Top speed: 44.27
Path length: 473.88
Alignments per period: 258
Stability: weakly unstable (|λ|max 1.601)
Loop closure: 5.5×10⁻²⁵

Neighbours on the map

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