Atlas681 of 3,915

I.A.15

m₃ = 2

From Li, Jing & Liao (2018)

I.A.15 m₃ = 2 is a periodic orbit of the planar three-body problem: three masses in the ratio 1 : 1 : 2 that return to their starting positions and velocities every 84.631 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 0.000225 of each other at a top speed of 109, line up 146 times a period, and the computed loop closes to 3.7×10⁻²⁵.

Measured over one period

Period: 84.63084301
Masses: 1 : 1 : 2
Energy: -2.96539
Angular momentum: 0
Closest approach: 2.2×10⁻⁴
Top speed: 109.0
Path length: 254.51
Alignments per period: 146
Stability: stable (|λ|max 1.000)
Loop closure: 3.7×10⁻²⁵

Neighbours on the map

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