Atlas491 of 3,915

I.A.51

m₃ = 0.5

From Li, Jing & Liao (2018)

I.A.51 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 80.419 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 179.8), so a small nudge makes it unravel over a few periods. The bodies pass within 0.00243 of each other at a top speed of 23.4, line up 130 times a period, and the computed loop closes to 1.3×10⁻²⁵.

Measured over one period

Period: 80.41911244
Masses: 1 : 1 : 0.5
Energy: -1.15419
Angular momentum: 0
Closest approach: 0.002426
Top speed: 23.45
Path length: 198.90
Alignments per period: 130
Stability: unstable (|λ|max 179.8)
Loop closure: 1.3×10⁻²⁵

Neighbours on the map

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