Atlas744 of 3,915

I.A.6

m₃ = 2

From Li, Jing & Liao (2018)

I.A.6 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 63.111 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 0.000662 of each other at a top speed of 63.5, line up 86 times a period, and the computed loop closes to 9.4×10⁻²⁵.

Measured over one period

Period: 63.11113489
Masses: 1 : 1 : 2
Energy: -2.55001
Angular momentum: 0
Closest approach: 6.6×10⁻⁴
Top speed: 63.45
Path length: 181.86
Alignments per period: 86
Stability: stable (|λ|max 1.000)
Loop closure: 9.4×10⁻²⁵

Neighbours on the map

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