Atlas695 of 3,915

I.A.5

m₃ = 0.5

From Li, Jing & Liao (2018)

I.A.5 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 28.436 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 3.033), so a small nudge makes it unravel over a few periods. The bodies pass within 0.077 of each other at a top speed of 4.18, line up 26 times a period, and the computed loop closes to 1.3×10⁻²⁸.

Measured over one period

Period: 28.43585755
Masses: 1 : 1 : 0.5
Energy: -0.880958
Angular momentum: 0
Closest approach: 0.07696
Top speed: 4.176
Path length: 67.437
Alignments per period: 26
Stability: weakly unstable (|λ|max 3.033)
Loop closure: 1.3×10⁻²⁸

Neighbours on the map

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