Atlas369 of 3,915

I.A.62

m₃ = 0.75

From Li, Jing & Liao (2018)

I.A.62 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 111.04 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 0.0000551 of each other at a top speed of 144, line up 186 times a period, and the computed loop closes to 1.6×10⁻²¹.

Measured over one period

Period: 111.0359806
Masses: 1 : 1 : 0.75
Energy: -1.48620
Angular momentum: 0
Closest approach: 5.5×10⁻⁵
Top speed: 144.0
Path length: 270.65
Alignments per period: 186
Stability: stable (|λ|max 1.000)
Loop closure: 1.6×10⁻²¹

Neighbours on the map

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