Atlas691 of 3,915

I.A.9

m₃ = 2

From Li, Jing & Liao (2018)

I.A.9 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 68.526 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 89.26), so a small nudge makes it unravel over a few periods. The bodies pass within 0.000618 of each other at a top speed of 65.8, line up 102 times a period, and the computed loop closes to 1.6×10⁻²⁴.

Measured over one period

Period: 68.52591547
Masses: 1 : 1 : 2
Energy: -2.68988
Angular momentum: 0
Closest approach: 6.2×10⁻⁴
Top speed: 65.79
Path length: 197.49
Alignments per period: 102
Stability: unstable (|λ|max 89.26)
Loop closure: 1.6×10⁻²⁴

Neighbours on the map

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