Atlas610 of 3,915

I.A.28

m₃ = 0.5

From Li, Jing & Liao (2018)

I.A.28 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 46.21 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 unstable (largest Floquet multiplier 86.77), so a small nudge makes it unravel over a few periods. The bodies pass within 0.000295 of each other at a top speed of 67.3, line up 94 times a period, and the computed loop closes to 2.9×10⁻²⁴.

Measured over one period

Period: 46.20977997
Masses: 1 : 1 : 0.5
Energy: -1.35002
Angular momentum: 0
Closest approach: 2.9×10⁻⁴
Top speed: 67.29
Path length: 123.60
Alignments per period: 94
Stability: unstable (|λ|max 86.77)
Loop closure: 2.9×10⁻²⁴

Neighbours on the map

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