Atlas663 of 3,915

I.A.58

m₃ = 0.75

From Li, Jing & Liao (2018)

I.A.58 m₃ = 0.75 is a periodic orbit of the planar three-body problem: three masses in the ratio 1 : 1 : 0.75 that return to their starting positions and velocities every 139.68 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 736), so a small nudge makes it unravel over a few periods. The bodies pass within 0.000396 of each other at a top speed of 53.7, line up 170 times a period, and the computed loop closes to 5.1×10⁻²⁴.

Measured over one period

Period: 139.6773664
Masses: 1 : 1 : 0.75
Energy: -1.23629
Angular momentum: 0
Closest approach: 4.0×10⁻⁴
Top speed: 53.70
Path length: 338.08
Alignments per period: 170
Stability: unstable (|λ|max 736.0)
Loop closure: 5.1×10⁻²⁴

Neighbours on the map

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