Atlas630 of 3,915

I.A.59

m₃ = 0.5

From Li, Jing & Liao (2018)

I.A.59 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 125.3 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 400.4), so a small nudge makes it unravel over a few periods. The bodies pass within 0.00233 of each other at a top speed of 23.9, line up 138 times a period, and the computed loop closes to 5.7×10⁻²⁵.

Measured over one period

Period: 125.2964577
Masses: 1 : 1 : 0.5
Energy: -0.907729
Angular momentum: 0
Closest approach: 0.002330
Top speed: 23.92
Path length: 285.84
Alignments per period: 138
Stability: unstable (|λ|max 400.4)
Loop closure: 5.7×10⁻²⁵

Neighbours on the map

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