Atlas312 of 3,915

I.A.69

m₃ = 0.75

From Li, Jing & Liao (2018)

I.A.69 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 125.33 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 linearly stable (largest Floquet multiplier 1.000), so a small nudge only makes it wobble. The bodies pass within 0.0000203 of each other at a top speed of 237, line up 202 times a period, and the computed loop closes to 4.1×10⁻²³.

Measured over one period

Period: 125.3277221
Masses: 1 : 1 : 0.75
Energy: -1.43614
Angular momentum: 0
Closest approach: 2.0×10⁻⁵
Top speed: 237.4
Path length: 285.10
Alignments per period: 202
Stability: stable (|λ|max 1.000)
Loop closure: 4.1×10⁻²³

Neighbours on the map

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